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 (INFORMS). Nov2025, Vol. 50 Issue 4, p2577-2599. 23p.

Variational analysis of Kirchhoff equations in Musielak-Orlicz-Zygmund spaces.

Authors: El Ouardani, Ahmed Aberqi, Ahmed Elmassoudi, Mhamed

Source: Studia Universitatis Babeș-Bolyai, Mathematica. Jun2026, Vol. 71 Issue 2, p293-306. 14p.

Inertial Forward–Backward–Forward Algorithm with Moving Point Projection for Monotone Inclusions and Image Restoration.

Authors: Thammasiri, Purit Berinde, Vasile Plubtieng, Somyot et al.

Source: Symmetry (20738994). May2026, Vol. 18 Issue 5, p782. 16p.

A Subspace Derivative-Free Conjugate Gradient Method for Solving Nonlinear Monotone Equations with Convex Constraints.

Authors: Li, Zongxu Fang, Zhuo Cao, Mingyuan et al.

Source: Axioms (2075-1680). May2026, Vol. 15 Issue 5, p351. 17p.

Solvability for Couple Nonlinear Elliptic Partial Differential Equations.

Authors: Muhsen, Ahmed A. Ali Al-Hawasy, Jamil A.

Source: Baghdad Science Journal; 2026, Vol. 23 Issue 4, p1155-1170, 16p

Weak and strong convergence of multi-inertial forward-backward-forward methods for solving monotone inclusions.

Authors: INKRONG, PAPATSARA CHOLAMJIAK, PRASIT YAO, JEN-CHIH

Source: Carpathian Journal of Mathematics. 2026, Vol. 42 Issue 2, p241-265. 25p.

On a unified Yosida inclusion problem and its computational implications.

Authors: Khan, Mohd. Falahat Irfan, Syed Shakaib Ahmad, Iqbal et al.

Source: AIMS Mathematics. 2026, Vol. 11 Issue 4, p1-27. 27p.

DAMPED NONLINEAR GINZBURG-LANDAU EQUATION WITH SATURATION. PART I. EXISTENCE OF SOLUTIONS ON GENERAL DOMAINS.

Authors: Bégout, Pascal Ildefonso Díaz, Jesús

Source: Opuscula Mathematica. 2026, Vol. 46 Issue 2, p153-183. 31p.

Summation process of monotone and sublinear operators in B-statistical sense.

Authors: Gülfırat, Mustafa Bayram, Nilay Şahin

Source: Studia Universitatis Babeș-Bolyai, Mathematica. Mar2026, Vol. 71 Issue 1, p135-144. 10p.

Convergence of the preconditioned proximal point method and Douglas–Rachford splitting in the absence of monotonicity.

Authors: Evens, Brecht Pas, Pieter Latafat, Puya et al.

Source: Mathematical Programming. Nov2025, Vol. 214 Issue 1/2, p247-301. 55p.

Subjects: Numerical analysis, Monotone operators, Optimization algorithms, Mathematical analysis, Nonlinear programming

A Reflected–Forward–Backward Splitting Method for Monotone Inclusions Involving Lipschitz Operators in Banach Spaces.

Authors: Huang, Changchi Peng, Jigen Qin, Liqian et al.

Source: Mathematics (2227-7390). Jan2026, Vol. 14 Issue 2, p245. 13p.

GENERALIZED REFLECTED DAVIS-YIN SPLITTING ALGORITHMS FOR THE MONOTONE INCLUSIONS PROBLEMS.

Authors: KE, S. DONG, Q. L. PETRUSŞEL, A. et al.

Source: Fixed Point Theory. 2026, Vol. 27 Issue 1, p327-347. 21p.

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.

MONOTONE VECTOR FIELDS AND PROXIMAL ALGORITHMS IN G-METRIC SPACES: A COMPREHENSIVE FRAMEWORK WITH APPLICATIONS TO MODERN OPTIMIZATION CHALLENGES.

Authors: G., SUDHAAMSH MOHAN REDDY QAWAQNEH, HAITHAM

Source: Image Analysis & Stereology. 2026, Vol. 45 Issue 1, p65-74. 10p.

A FAST THREE-OPERATOR SPLITTING METHOD WITH o(1=k) LAST-ITERATE CONVERGENCE RATES FOR MONOTONE INCLUSIONS.

Authors: ZONG, CHUNXIANG QIN, XIAOLONG

Source: Journal of Applied & Numerical Optimization. 2026, Vol. 8 Issue 1, p19-54. 36p.

On Quasi-Monotone Stochastic Variational Inequalities with Applications.

Authors: Dilshad, Mohammad Al-Dayel, Ibrahim Nwawuru, Francis O. et al.

Source: Axioms (2075-1680). Dec2025, Vol. 14 Issue 12, p912. 28p.

p(.)-ELLIPTIC INCLUSION PROBLEM WITH NATURAL GROWTH TERM AND FOURIER TYPE BOUNBARY CONDITION.

Authors: Konate, Ibrahime Ouaro, Stanislas

Source: Facta Universitatis, Series: Mathematics & Informatics. 2025, Vol. 40 Issue 5, p1101-1131. 31p.

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.

Revisiting Extragradient-Type Methods: Part 1—Generalizations and Sublinear Convergence Rates.

Authors: Tran-Dinh, Quoc Nguyen-Trung, Nghia

Source: Computational Optimization & Applications. May2026, Vol. 94 Issue 1, p141-210. 70p.

Solving Non-monotone Variational Inequality Problems Involving Non-Lipschitz Mappings with Application to Image Restoration.

Authors: Adamu, Abubakar Viet Thong, Duong Thi An, Nguyen et al.

Source: Journal of Scientific Computing. Jun2026, Vol. 107 Issue 3, p1-30. 30p.

Subjects: Monotone operators, Lipschitz spaces, Hilbert space