Search Results - Krasnoselskii type iterative algorithm
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Algorithms for a system of generalized mixed equilibrium problems and a countable family of some nonlinear multi-valued nonexpansive-type maps
ISSN: 0252-9602Published: Department of Pure and Applied Mathematics, African University of Science and Technology, Abuja, Nigeria 01.11.2018Published in Acta mathematica scientia (01.11.2018)“…In this paper,relaxed iterative algorithms of Krasnoselskii-type and Halpern-type that approximate a solution of a system of a generalized mixed equilibrium problem and a common fixed point…”
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Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem
ISSN: 1687-1812, 1687-1812, 2730-5422Published: Cham Springer International Publishing 18.06.2018Published in Fixed point theory and algorithms for sciences and engineering (18.06.2018)“…, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to approximate a common element of solutions of variational inequality problems and fixed points of a countable…”
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Generalized Krasnoselskii–Mann-Type Iteration for Nonexpansive Mappings in Banach Spaces
ISSN: 2194-668X, 2194-6698Published: Beijing Operations Research Society of China 01.03.2021Published in Journal of the Operations Research Society of China (Internet) (01.03.2021)“… Recently, Kanzow and Shehu proposed a generalized Krasnoselskii–Mann-type iteration for nonexpansive mappings and established its convergence in Hilbert spaces…”
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Convergence Rate Analysis of Inertial Krasnoselskii-Mann Type Iteration with Applications
ISSN: 0163-0563, 1532-2467Published: Abingdon Taylor & Francis 27.07.2018Published in Numerical functional analysis and optimization (27.07.2018)“…It is well known that the Krasnoselskii-Mann iteration of nonexpansive operators find applications in many areas of mathematics and known to be weakly convergent in the infinite dimensional setting…”
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Inertial Krasnosel’skiǐ–Mann type hybrid algorithms for solving hierarchical fixed point problems
ISSN: 1661-7738, 1661-7746, 2730-5422Published: Cham Springer International Publishing 01.06.2019Published in Fixed point theory and algorithms for sciences and engineering (01.06.2019)“…In this paper, we suggest two inertial Krasnosel’skiǐ–Mann type hybrid algorithms to approximate a solution of a hierarchical fixed point problem for nonexpansive mappings in Hilbert space…”
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On the strong convergence of a general-type Krasnosel’skii–Mann’s algorithm depending on the coefficients
ISSN: 1661-7738, 1661-7746, 2730-5422Published: Cham Springer International Publishing 01.03.2016Published in Fixed point theory and algorithms for sciences and engineering (01.03.2016)“…Let H be a Hilbert space, ( W n ) n ∈ N a suitable family of mappings, S a nonexpansive mapping and D a strongly monotone operator. We are interested in the…”
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A steepest-descent Krasnosel’skii–Mann algorithm for a class of variational inequalities in Banach spaces
ISSN: 1661-7738, 1661-7746, 2730-5422Published: Cham Springer International Publishing 01.09.2016Published in Fixed point theory and algorithms for sciences and engineering (01.09.2016)“… Gâteaux differentiable norm, we investigate an explicit iteration method, based on the steepest-descent and Krasnosel’skii–Mann algorithms…”
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Krasnoselskii-type algorithm for zeros of strongly monotone Lipschitz maps in classical banach spaces
ISSN: 2193-1801, 2193-1801Published: Cham Springer International Publishing 27.06.2015Published in SpringerPlus (27.06.2015)“… A Krasnoselskii-type sequence is constructed and proved to converge strongly to the unique solution of A u = 0…”
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Strongly Convergent Inertial Krasnosel'skii–Mann and Ishikawa-Type Schemes for Fixed Point and Monotone Inclusion Problems with Applications to Image Restoration
ISSN: 2291-8639, 2291-8639Published: 01.01.2025Published in International journal of analysis and applications (01.01.2025)“…We propose an inertial Krasnosel'skii–Mann and Ishikawa-type iterative process with step-size control for finding fixed points of nonexpansive mappings in Hilbert spaces…”
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Robust incentive Stackelberg strategy for Markov jump linear stochastic systems via static output feedback
ISSN: 1751-8644, 1751-8652Published: The Institution of Engineering and Technology 11.06.2020Published in IET control theory & applications (11.06.2020)“… in terms of the solvability of a set of higher-order cross-coupled stochastic algebraic Lyapunov type equations (CCSALTEs…”
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New algorithms for solving system of generalized mixed equilibrium problems and some nonlinear problems, with applications
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 02.12.2018Published in Optimization (02.12.2018)“…In this paper, new iterative algorithms of Krasnoselkii-type and Halpern-type for approximating common fixed points of a countable family of equally continuous and totally quasi-φ…”
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Double Inertial Krasnosel'skii-Mann-Type Method for Approximating Fixed Point of Nonexpansive Mappings
ISSN: 1307-5543, 1307-5543Published: 01.07.2024Published in European journal of pure and applied mathematics (01.07.2024)“… Specifically, we incorporate double inertial extrapolation terms into an iterative sequence, derived from Krasnosel'skii-Mann techniques…”
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Equivalence and convergence analysis of fixed point iterative schemes using higher order averaged mappings
ISSN: 1017-1398, 1572-9265Published: 14.05.2025Published in Numerical algorithms (14.05.2025)Get full text
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Inertial Douglas–Rachford splitting for monotone inclusion problems
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.04.2015Published in Applied mathematics and computation (01.04.2015)“… To this end we formulate first the inertial version of the Krasnosel’skiı̆–Mann algorithm for approximating the set of fixed points of a nonexpansive operator, for which we also provide an exhaustive convergence analysis…”
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An inertial-type method for solving image restoration problems
ISSN: 1432-7643, 1433-7479Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2023Published in Soft computing (Berlin, Germany) (01.11.2023)“…We first establish weak convergence results regarding an inertial Krasnosel’skiĭ…”
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Existence of positive periodic solutions of some nonlinear fractional differential equations
ISSN: 1007-5704, 1878-7274Published: Amsterdam Elsevier B.V 01.09.2017Published in Communications in nonlinear science & numerical simulation (01.09.2017)“…•The right-hand side of the equation contains certain singularities.•Our approach is based on Krasnoselskii fixed point theorem and monotone iterative techniques…”
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Approximating fixed point results for pseudo-contractive map and some remarks on demi-contractive map in the Banach space
ISSN: 2238-3603, 1807-0302Published: Cham Springer International Publishing 01.09.2024Published in Computational & applied mathematics (01.09.2024)“…The purpose of our paper is to present a few convergence results for the Krasnoselskii…”
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Some fixed point results for generalized contractions of Suzuki type in Banach spaces
ISSN: 1661-7738, 1661-7746, 2730-5422Published: Cham Springer International Publishing 01.09.2019Published in Fixed point theory and algorithms for sciences and engineering (01.09.2019)“…In this paper, we consider generalized contractions of Suzuki type. In particular, we give some geometrical properties of their fixed points…”
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Iterative algorithm for approximating fixed points of multivalued quasinonexpansive mappings in Banach spaces
ISSN: 2730-5422, 2730-5422Published: Cham Springer International Publishing 07.03.2022Published in Fixed point theory and algorithms for sciences and engineering (07.03.2022)“… ) is the family of proximinal and bounded subsets of D . Supposing that the family has at least one common fixed point, we show that a Krasnoselskii…”
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Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.04.2020Published in Numerical algorithms (01.04.2020)“…Our interest in this paper is to introduce a Halpern-type algorithm with both inertial terms and errors for approximating fixed point of a nonexpansive mapping…”
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