Search Results - "MONOTONE operators"

Primal-Dual Extrapolation Methods for Monotone Inclusions Under Local Lipschitz Continuity.

Authors: Lu, Zhaosong Mei, Sanyou

Source: Mathematics of Operations Research. Nov2025, Vol. 50 Issue 4, p2577-2599. 23p.

Subject Terms: *MATHEMATICAL optimization, LIPSCHITZ continuity, MONOTONE operators, VARIATIONAL inequalities (Mathematics), NUMERICAL calculations, CONVEX programming, EXTRAPOLATION, COMPUTATIONAL complexity

A General Framework for Symmetric and Asymmetric Variable Metric Proximal Point Methods, with Relations between Relative-Errors and Summable-Errors.

Authors: Buscaglia, E. L. Lotito, P. A. Parente, L. A. et al.

Source: SIAM Journal on Optimization. 2025, Vol. 35 Issue 4, p2518-2543. 26p.

Subject Terms: MONOTONE operators, APPROXIMATION error, MONOTONIC functions

Algorithms for Solving the Resolvent of the Sum of Two Maximal Monotone Operators with a Finite Family of Nonexpansive Operators.

Authors: Berrailes, Ali Beddani, Abdallah

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p783. 15p.

Subject Terms: *ALGORITHMS, *MONOTONE operators, *VARIATIONAL approach (Mathematics), *FIXED point theory, *ITERATIVE methods (Mathematics), *ASYMPTOTIC analysis, *NONEXPANSIVE mappings

Outer reflected forward–backward splitting algorithm with inertial extrapolation step.

Authors: Shehu, Yekini Jolaoso, Lateef O. Okeke, C. C. et al.

Source: Optimization. Nov2025, Vol. 74 Issue 15, p3901-3924. 24p.

Subject Terms: *MONOTONE operators, *HILBERT space, *IMAGE processing, *NUMERICAL analysis, *EXTRAPOLATION, *COMPRESSED sensing, *OPTIMIZATION algorithms, *ASYMPTOTIC analysis

Generalized Fejér monotone sequences and their finitary content.

Authors: Pischke, Nicholas¹ (AUTHOR) pischke@mathematik.tu-darmstadt.de

Source: Optimization. Oct2025, Vol. 74 Issue 14, p3771-3838. 68p.

Subject Terms: *COMPACT spaces (Topology), *MONOTONE operators, *HILBERT space

Fibonacci-Ishikawa iterative method in modular spaces for asymptotically non-expansive monotonic mathematical operators.

Authors: Tomar, Anita Alam, Khairul Habib Sajid, Mohammad et al.

Source: Journal of Inequalities & Applications. 10/17/2025, Vol. 2025 Issue 1, p1-17. 17p.

Subject Terms: *MONOTONE operators, *NONEXPANSIVE mappings, *ASYMPTOTIC analysis, *ITERATIVE methods (Mathematics), *MODULAR functions, *COMPARATIVE studies

Split common null point problem for generalized monotone operators.

Authors: Eslamian, Mohammad¹ (AUTHOR) eslamian@mazust.ac.ir

Source: Optimization. Oct2025, Vol. 74 Issue 13, p3401-3417. 17p.

Subject Terms: *MONOTONE operators, *HILBERT space, *MATHEMATICAL optimization, *LINEAR operators, *ITERATIVE methods (Mathematics)

The Solodov--Svaiter type proximal point algorithm on a complete geodesic space.

Authors: SUDO, SHUTA¹ 7523001s@st.toho-u.ac.jp

Source: Carpathian Journal of Mathematics. 2026, Vol. 42 Issue 1, p81-94. 14p.

Subject Terms: *GEODESIC spaces, *MONOTONE operators, *APPROXIMATION error, *SET-valued maps, *BANACH spaces, *EQUILIBRIUM, *CONVEX programming

Fixed-Point Theorem with a Novel Contraction Approach in Banach Algebras.

Authors: El Bazi, Hamza Lahraoui, Younes Lee, Cheng-Chi et al.

Source: Mathematics (2227-7390). Sep2025, Vol. 13 Issue 18, p3024. 9p.

Subject Terms: *BANACH algebras, *MONOTONE operators, *UNIQUENESS (Mathematics), *ORDERED algebraic structures

The Proximal Point Method for Infinite Families of Maximal Monotone Operators and Set-Valued Mappings.

Authors: Zaslavski, Alexander J.¹ (AUTHOR)

Source: Mathematics (2227-7390). Sep2025, Vol. 13 Issue 17, p2765. 12p.

Subject Terms: *MONOTONE operators, *HILBERT space, *OPTIMIZATION algorithms, *MATHEMATICAL optimization, *SET-valued maps, *ITERATIVE methods (Mathematics), *APPROXIMATION error, *PROBLEM solving

New fast proximal point algorithms for monotone inclusion problems with applications to image recovery.

Authors: Jolaoso, Lateef O. Bai, Jianchao Shehu, Yekini

Source: Optimization. Aug2025, Vol. 74 Issue 10, p2369-2394. 26p.

Subject Terms: *HILBERT space, *MONOTONE operators, *NUMERICAL analysis, *OPTIMIZATION algorithms, *ASYMPTOTIC analysis, *CONVEX programming, *IMAGE reconstruction

Relaxed and Inertial Nonlinear Forward–Backward with Momentum.

Authors: Roldán, Fernando Vega, Cristian

Source: Journal of Optimization Theory & Applications. Aug2025, Vol. 206 Issue 2, p1-30. 30p.

Subject Terms: *MONOTONE operators, *LINEAR operators, *ALGORITHMS

Forward-backward-half forward splitting algorithm with deviations.

Authors: Qin, Liqian Dong, Qiao-Li Zhang, Yaxuan et al.

Source: Optimization. Aug2025, Vol. 74 Issue 9, p2137-2158. 22p.

Subject Terms: *FORWARD-backward algorithm, *MONOTONE operators, *LIPSCHITZ continuity, *MATHEMATICAL analysis, *OPERATOR functions, *ALGORITHMS, *EMPIRICAL research, *STANDARD deviations

Weak-strong uniqueness for solutions to mean-field games.

Authors: Ferreira, Rita Gomes, Diogo Voskanyan, Vardan

Source: Proceedings of the American Mathematical Society. Aug2025, Vol. 153 Issue 8, p3363-3379. 17p.

Subject Terms: *MONOTONE operators, *TORUS

The Proximal Point Method with Remotest Set Control for Maximal Monotone Operators and Quasi-Nonexpansive Mappings.

Authors: Zaslavski, Alexander J.¹ (AUTHOR)

Source: Mathematics (2227-7390). Jul2025, Vol. 13 Issue 14, p2282. 12p.

Subject Terms: *MONOTONE operators, *NONEXPANSIVE mappings, *OPTIMIZATION algorithms, *APPROXIMATION error, *HILBERT space, *ESTIMATION theory

MODIFIED SUBGRADIENT EXTRAGRADIENT FOR BILEVEL PSEUDOMONOTONE VARIATIONAL INEQUALITY WITH SPLIT COMMON FIXED POINT PROBLEM CONSTRAINT.

Authors: LU-CHUAN CENG GHOSH, DEBDAS UR REHMAN, HABIB et al.

Source: Fixed Point Theory. 2025, Vol. 26 Issue 2, p409-440. 32p.

Subject Terms: *MONOTONE operators, *SUBGRADIENT methods, *HILBERT space, *ALGORITHMS

A generalized scheme for split inclusion problem with conjugate like direction.

Authors: Abubakar, Jamilu Chaipunya, Parin Kumam, Poom et al.

Source: Mathematical Methods of Operations Research. Feb2025, Vol. 101 Issue 1, p51-71. 21p.

Subject Terms: *ALGORITHMS, CONJUGATE gradient methods, MONOTONE operators

CONVERGENCE ANALYSES OF DAVIS--YIN SPLITTING VIA SCALED RELATIVE GRAPHS.

Authors: JONGMIN LEE SOHEUN YI RYU, ERNEST K.

Source: SIAM Journal on Optimization. 2025, Vol. 35 Issue 1, p270-301. 32p.

Subject Terms: MONOTONE operators, EUCLIDEAN geometry, CONVEX geometry, OPERATOR theory

ACCELERATED MINIMAX ALGORITHMS FLOCK TOGETHER.

Authors: TAEHO YOON RYU, ERNEST K.

Source: SIAM Journal on Optimization. 2025, Vol. 35 Issue 1, p180-209. 30p.

Subject Terms: *ALGORITHMS, MONOTONE operators

A Double-Inertial Two-Subgradient Extragradient Algorithm for Solving Variational Inequalities with Minimum-Norm Solutions.

Authors: Argyros, Ioannis K. Amir, Fouzia Rehman, Habib ur et al.

Source: Mathematics (2227-7390). Jun2025, Vol. 13 Issue 12, p1962. 26p.

Subject Terms: *MONOTONE operators, *HILBERT space, *IMAGE processing, *PRIOR learning, *ALGORITHMS