Search Results - "Iterative Algorithms for Nonlinear Operators and Optimization"

Third Order Dynamical Systems for the Sum of Two Generalized Monotone Operators

Authors: Pham Viet Hai Phan Tu Vuong

Source: Journal of Optimization Theory and Applications. 202:519-553

Subject Terms: Inverse Problems in Mathematical Physics and Imaging, Economics, 0211 other engineering and technologies, Nonlinear Operators, Geometry, 02 engineering and technology, Mathematical analysis, Quantum mechanics, 01 natural sciences, Numerical Methods, Microscopic Simulators, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Iterative Algorithms, 0101 mathematics, Mathematical Physics, Order (exchange), Theory of computation, Physics, Mathematical optimization, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Applied mathematics, Algorithm, Computational Theory and Mathematics, Computer Science, Physical Sciences, Monotone polygon, Dynamical systems theory, Multiscale Methods, Mathematics, Monotonic function, Finance

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Optimality and Duality for Robust Optimization Problems Involving Intersection of Closed Sets

Authors: Nguyen Canh Hung Thái Doãn Chương Nguyễn Thị Ngọc Ánh

Source: Journal of Optimization Theory and Applications. 202:771-794

Subject Terms: Optimization, Convex Optimization, constraint, 0211 other engineering and technologies, Social Sciences, Robust Optimization, 02 engineering and technology, Management Science and Operations Research, Fixed-Point Problems, closed set, 01 natural sciences, Decision Sciences, Multi-Objective Transportation Problem Optimization, Engineering, robust nonsmooth optimization, FOS: Mathematics, Robust Optimization for Risk Management and Finance, Optimization problem, 0101 mathematics, Mordukhovich/limiting subdifferential, Theory of computation, Multi-Objective Optimization, optimality condition, 4. Education, Mathematical optimization, Strong duality, Iterative Algorithms for Nonlinear Operators and Optimization, 16. Peace & justice, Algorithm, Aerospace engineering, Computational Theory and Mathematics, Control and Systems Engineering, Combinatorics, Duality (order theory), Computer Science, Physical Sciences, duality, Intersection (aeronautics), Mathematics

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Access URL: https://bura.brunel.ac.uk/handle/2438/29228

Ergodicity for a family of operators

Authors: Abdellah Akrym Abdeslam El Bakkali Abdelkhalek Faouzi

Source: Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)

Subject Terms: Theory of Banach Spaces and Operators, Physics, Operators, Ergodicity, Statistics, Social Sciences, Nonlinear Operators, Iterative Algorithms for Nonlinear Operators and Optimization, 01 natural sciences, Economics, Econometrics and Finance, Computational Theory and Mathematics, Theory and Applications of Option Pricing Models, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, Statistical physics, 0101 mathematics, Mathematical Physics, Mathematics, Finance, Summing Operators

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A topological insight into the polar involution of convex sets

Authors: Higueras-Montaño, Luisa F. Jonard-Pérez, Natalia

Source: Israel Journal of Mathematics. 263:437-474

Subject Terms: Spatial Point Patterns in Science, Stereology, Astronomy, FOS: Political science, Geometry, FOS: Law, 01 natural sciences, Mathematics - Geometric Topology, FOS: Mathematics, Nonexpansive Mappings, 0101 mathematics, Political science, Convex Bodies, Mathematics - General Topology, Topology (electrical circuits), Algebra over a field, 52A20, 52A21, 54B20, 54C10, 54C55 (Primary) 54H15, 57S25 (Secondary), Applied Mathematics, Physics, Graph Spectra and Topological Indices, Politics, General Topology (math.GN), Involution (esoterism), Pure mathematics, Geometric Topology (math.GT), Convergence Theorems, Iterative Algorithms for Nonlinear Operators and Optimization, Topological Indices, Regular polygon, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Geometry and Topology, Polar, Law, Mathematics

Access URL: http://arxiv.org/abs/2205.08575

Dislocation hyperbolic augmented Lagrangian algorithm in convex programming

Authors: Lennin Mallma Ramirez Nelson Maculan Adilson Elias Xavier et al.

Source: An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 14:147-155

Subject Terms: Composite material, Numerical Analysis, 0209 industrial biotechnology, Numerical Optimization Techniques, Mathematical optimization, 0211 other engineering and technologies, Geometry, Iterative Algorithms for Nonlinear Operators and Optimization, 02 engineering and technology, Sampling-Based Motion Planning Algorithms, Computer science, Mathematical analysis, Materials science, Convex optimization, Regular polygon, Algorithm, Computational Theory and Mathematics, Computer Science, Physical Sciences, FOS: Mathematics, Dislocation, Augmented Lagrangian method, Computer Vision and Pattern Recognition, Mathematics, Lagrangian

A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces

Authors: Asifa Tassaddiq Wakeel Ahmed Shahid Zaman et al.

Source: Journal of Function Spaces, Vol 2024 (2024)

Subject Terms: Aerospace Engineering, FOS: Mechanical engineering, Geometry, Fixed-Point Problems, Mathematical analysis, 01 natural sciences, Fixed Point Theorems in Metric Spaces, Engineering, Point (geometry), QA1-939, FOS: Mathematics, Nonexpansive Mappings, Iterative Algorithms, 0101 mathematics, Hadamard transform, 4. Education, Mathematical optimization, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, Computer science, Computational Theory and Mathematics, Computer Science, Physical Sciences, Geometry and Topology, Mathematics, Autonomous Aerial Refueling Systems for UAVs

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Optimality conditions for bilevel optimal control problems with non-convex quasi-variational inequalities

Authors: Rachid El Idrissi Lahoussine Lafhim El Mostafa Kalmoun et al.

Source: RAIRO - Operations Research. 58:1789-1805

Subject Terms: Optimization, 0209 industrial biotechnology, Bilevel Programming, Bilevel optimization, 0211 other engineering and technologies, Geometry, 02 engineering and technology, Quantum mechanics, Variational Problems, Bellman equation, State (computer science), FOS: Mathematics, Maximum principle, Constraint (computer-aided design), Optimization problem, Variational inequality, Numerical Analysis, Numerical Optimization Techniques, Degenerate energy levels, Equilibrium Problems, Physics, Mathematical optimization, Statistics, Iterative Algorithms for Nonlinear Operators and Optimization, Computational Contact Mechanics and Variational Inequalities, Optimal control, Convex optimization, Regular polygon, Algorithm, Parameterized complexity, Computational Theory and Mathematics, Parametric statistics, Computer Science, Physical Sciences, Variational analysis, Mathematics

Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ metric spaces

Authors: Alia Abu Darweesh Sami Shukri

Source: Arabian Journal of Mathematics. 13:227-236

Subject Terms: Metric (unit), Metric map, Fixed-Point Problems, 01 natural sciences, Theory and Applications of Fractional Differential Equations, Mathematical analysis, FOS: Economics and business, Fixed Point Theorems in Metric Spaces, FOS: Mathematics, Nonexpansive Mappings, Business, 0101 mathematics, Marketing, Fixed Point Theorems, Applied Mathematics, 4. Education, Pure mathematics, Convex metric space, Convergence Theorems, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Discrete mathematics, Computational Theory and Mathematics, Contractive Mappings, Combinatorics, Physical Sciences, Computer Science, Geometry and Topology, Metric space, Mathematics

Characterization of a Cournot–Nash Equilibrium for a Fishery Model with Fuzzy Utilities

Authors: R. Israel Ortega-Gutiérrez Raúl Montes-de-Oca Hugo Cruz−Suárez

Source: Journal of Mathematics, Vol 2024 (2024)

Subject Terms: Statistics and Probability, Economics and Econometrics, Artificial intelligence, 0209 industrial biotechnology, Existence and Dynamics of Monetary Equilibrium Models, Social Sciences, Fuzzy Differential Equations and Uncertainty Modeling, 02 engineering and technology, Cournot competition, 7. Clean energy, Nash equilibrium, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Nanotechnology, 14. Life underwater, Biology, Random Fuzzy Variables, FOS: Nanotechnology, Mathematical economics, Equilibrium Problems, 4. Education, Mathematical optimization, Iterative Algorithms for Nonlinear Operators and Optimization, Computer science, Materials science, Fuzzy Differential Equations, Fuzzy logic, Economics, Econometrics and Finance, Computational Theory and Mathematics, Fishery, Physical Sciences, Computer Science, Mathematics, Characterization (materials science)

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An Algorithm for Solving Pseudomonotone Variational Inequality Problems in CAT(0) Spaces

Authors: Asifa Tassaddiq Amna Kalsoom Asifa Batool et al.

Source: Contemporary Mathematics. :590-601

Subject Terms: Variational inequality, Algebra over a field, Equilibrium Problems, FOS: Clinical medicine, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Discrete mathematics, Applied mathematics, 16. Peace & justice, Mathematical analysis, Industrial and Manufacturing Engineering, Algorithm, Optimization of Cutting and Packing Problems, Design and Control of Warehouse Operations, Engineering, Computational Theory and Mathematics, Inequality, Dentistry, Physical Sciences, Computer Science, FOS: Mathematics, Medicine, Calculus (dental), Mathematics

Fixed Point Iterations for Functional Equations and Split Feasibility Problems in CAT(0) Spaces

Authors: Latif Ur Rahman Muhammad Arshad Hasanen A. Hammad et al.

Source: Contemporary Mathematics. :365-379

Subject Terms: Artificial intelligence, Class (philosophy), Nonlinear Operators, Geometry, Fixed-Point Problems, Mathematical analysis, Biochemistry, Quantum mechanics, Gene, Multi-Objective Transportation Problem Optimization, Fixed Point Theorems in Metric Spaces, Engineering, Point (geometry), FOS: Mathematics, Complement (music), Iterative Algorithms, Fixed-point theorem, Domain (mathematical analysis), Complementation, Fixed Point Theorems, Physics, 4. Education, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, 16. Peace & justice, Computer science, Iterative method, Algorithm, Chemistry, Phenotype, Computational Theory and Mathematics, Control and Systems Engineering, Physical Sciences, Computer Science, Computation, Nonlinear system, Geometry and Topology, Linear Fractional Programming, Mathematics, Fixed-point iteration

A novel algorithm with an inertial technique for fixed points of nonexpansive mappings and zeros of accretive operators in Banach spaces

Authors: Kaiwich Baewnoi Damrongsak Yambangwai Tanakit Thianwan

Source: AIMS Mathematics, Vol 9, Iss 3, Pp 6424-6444 (2024)

Subject Terms: Convex Optimization, 0211 other engineering and technologies, 02 engineering and technology, Fixed-Point Problems, 01 natural sciences, Mathematical analysis, Quantum mechanics, Fixed Point Theorems in Metric Spaces, Interior-Point Methods, QA1-939, FOS: Mathematics, Nonexpansive Mappings, 0101 mathematics, Iterative Algorithms, accretive operator, Numerical Analysis, Banach space, Numerical Optimization Techniques, Physics, 4. Education, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, nonexpansive mapping, inertial term, strong convergence, Computational Theory and Mathematics, uniformly gâteaux differentiable norm, Computer Science, Physical Sciences, Geometry and Topology, Inertial frame of reference, Mathematics

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Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems

Authors: Francis Akutsah A. A. Mebawondu Austine Efut Ofem et al.

Source: AIMS Mathematics, Vol 9, Iss 7, Pp 17276-17290 (2024)

Subject Terms: 0211 other engineering and technologies, Aerospace Engineering, FOS: Mechanical engineering, Nonlinear Operators, 02 engineering and technology, Fixed-Point Problems, 01 natural sciences, Mathematical analysis, Engineering, Interior-Point Methods, subgradient extragradient, QA1-939, FOS: Mathematics, Classical mechanics, 0101 mathematics, equilibrium problem, Subgradient method, Numerical Analysis, Numerical Optimization Techniques, fixed point problem, Equilibrium Problems, Physics, Mathematical optimization, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, Computational Theory and Mathematics, mildly inertial, Computer Science, Physical Sciences, Inertial frame of reference, Autonomous Aerial Refueling Systems for UAVs, Mathematics, Mixed-Integer Nonlinear Programs

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Double inertial steps extragadient-type methods for solving optimal control and image restoration problems

Authors: Austine Efut Ofem Jacob Ashiwere Abuchu Godwin Chidi Ugwunnadi et al.

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 12870-12905 (2024)

Subject Terms: Artificial intelligence, Inverse Problems in Mathematical Physics and Imaging, 0211 other engineering and technologies, Aerospace Engineering, FOS: Mechanical engineering, variational inequality problem, Control (management), pseudo-monotone operator, 02 engineering and technology, 01 natural sciences, Image restoration, Engineering, Image processing, QA1-939, FOS: Mathematics, Image (mathematics), Control theory (sociology), Classical mechanics, 0101 mathematics, Mathematical Physics, Control engineering, Physics, Paleontology, Geology, Iterative Algorithms for Nonlinear Operators and Optimization, FOS: Earth and related environmental sciences, Computer science, strong convergence, fixed point, Computational Theory and Mathematics, viscosity, Computer Science, Physical Sciences, Inertial frame of reference, Type (biology), subgradient extragradient method, Mathematics, Autonomous Aerial Refueling Systems for UAVs

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Double inertial extrapolations method for solving split generalized equilibrium, fixed point and variational inequity problems

Authors: J. A. Ugboh Oboyi Joseph Hossam A. Nabwey et al.

Source: AIMS Mathematics, Vol 9, Iss 4, Pp 10416-10445 (2024)

Subject Terms: Economics, split generalized equilibrium, FOS: Political science, Norm (philosophy), 0211 other engineering and technologies, Extrapolation, FOS: Law, 02 engineering and technology, Fixed-Point Problems, Operator (biology), 01 natural sciences, Mathematical analysis, Biochemistry, Quantum mechanics, Gene, Bounded function, Fixed Point Theorems in Metric Spaces, Interior-Point Methods, double inertial technique, QA1-939, FOS: Mathematics, fixed point and variational inequity problems, 0101 mathematics, Iterative Algorithms, Political science, Economic growth, Numerical Analysis, Numerical Optimization Techniques, Equilibrium Problems, Physics, Mathematical optimization, Hilbert space, Iterative Algorithms for Nonlinear Operators and Optimization, Lipschitz continuity, Fixed point, Applied mathematics, Iterative method, Chemistry, Computational Theory and Mathematics, Computer Science, Physical Sciences, Convergence (economics), Repressor, Geometry and Topology, Inertial frame of reference, Transcription factor, Law, Mathematics, Mixed-Integer Nonlinear Programs

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Best proximity points for proximal Górnicki mappings and applications to variational inequality problems

Authors: P. Dhivya D. Diwakaran P. Selvapriya

Source: AIMS Mathematics, Vol 9, Iss 3, Pp 5886-5904 (2024)

Subject Terms: Best Proximity Points, Orthodontics, Cone Metric Spaces, variational inequality, 01 natural sciences, Mathematical analysis, Metric Spaces, Fixed Point Theorems in Metric Spaces, górnicki mapping, QA1-939, FOS: Mathematics, Nonexpansive Mappings, 0101 mathematics, Variational inequality, fixed points, partial metric space, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Computational Contact Mechanics and Variational Inequalities, Applied mathematics, enriched contraction, Computational Theory and Mathematics, Inequality, Combinatorics, Computer Science, Physical Sciences, Medicine, Geometry and Topology, Calculus (dental), best proximity points, Mathematics

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A nonmonton active interior point trust region algorithm based on CHKS smoothing function for solving nonlinear bilevel programming problems

Authors: B. El-Sobky Y. Abo-Elnaga G. Ashry et al.

Source: AIMS Mathematics, Vol 9, Iss 3, Pp 6528-6554 (2024)

Subject Terms: Bilevel Programming, Bilevel optimization, Geometry, Evolutionary biology, Fixed-Point Problems, 01 natural sciences, Quantum mechanics, Multi-Objective Transportation Problem Optimization, Engineering, Interior-Point Methods, Point (geometry), Nonlinear programming, Computer security, nonmonton trust-region, chks smoothing function, QA1-939, FOS: Mathematics, Interior point method, active-set, interior-point, 0101 mathematics, Optimization problem, Biology, nonlinear bilevel problem, Numerical Analysis, Nonlinear Programming, Numerical Optimization Techniques, RADIUS, Physics, Mathematical optimization, Iterative Algorithms for Nonlinear Operators and Optimization, Computer science, Algorithm, Computational Theory and Mathematics, Control and Systems Engineering, Function (biology), Computer Science, Physical Sciences, Nonlinear system, Computer vision, Mathematics, Mixed-Integer Nonlinear Programs, Smoothing, Trust region

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Solution approximation of fractional boundary value problems and convergence analysis using AA-iterative scheme

Authors: Mujahid Abbas Cristian Ciobanescu Muhammad Waseem Asghar et al.

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 13129-13158 (2024)

Subject Terms: boundary value problems, Economics, Mathematical analysis, 01 natural sciences, Fixed Point Theorems in Metric Spaces, Value (mathematics), fractional differential equation, QA1-939, FOS: Mathematics, aa iteration, 0101 mathematics, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Economic growth, Scheme (mathematics), data dependence, Mathematical optimization, Statistics, Iterative Algorithms for Nonlinear Operators and Optimization, stability, Applied mathematics, Iterative method, Computational Theory and Mathematics, Modeling and Simulation, Physical Sciences, Computer Science, Convergence (economics), Geometry and Topology, Mathematics

Access URL: https://doaj.org/article/66beef6f0af8495b82cd516b6e0265e9

A faster iterative scheme for common fixed points of $ G $-nonexpansive mappings via directed graphs: application in split feasibility problems

Authors: Maryam Iqbal Afshan Batool Aftab Hussain et al.

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 11941-11957 (2024)

Subject Terms: Numerical Analysis, convergence, Numerical Optimization Techniques, $ g $-nonexpansive mappings, Mathematical optimization, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, directed graph, Computer science, Mathematical analysis, Algorithm, Fixed Point Theorems in Metric Spaces, Computational Theory and Mathematics, common fixed points, condition (b), Computer Science, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, $ k^{\ast} $-iteration, Mathematics, Scheme (mathematics)

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A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces

Authors: Naeem Saleem Imo Kalu Agwu Umar Ishtiaq et al.

Source: Journal of Mathematics, Vol 2023 (2023)

Subject Terms: Convex Optimization, Economics, Geometry, Fixed-Point Problems, 01 natural sciences, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Interior-Point Methods, QA1-939, FOS: Mathematics, Nonexpansive Mappings, 0101 mathematics, Fixed-point theorem, Economic growth, Scheme (mathematics), Numerical Analysis, Banach space, Numerical Optimization Techniques, 4. Education, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Uniformly convex space, Discrete mathematics, 16. Peace & justice, Regular polygon, Computational Theory and Mathematics, Banach manifold, Physical Sciences, Computer Science, Convergence (economics), Geometry and Topology, Lp space, Mathematics

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