Subgradient Extra-Gradient Algorithm for Pseudomonotone Equilibrium Problems and Fixed-Point Problems of Bregman Relatively Nonexpansive Mappings

R Lotfikar, GZ Eskandani, JK Kim, MT Rassias - Mathematics, 2023 - mdpi.com
In this article, we introduce a new subgradient extra-gradient algorithm to find the common
element of a set of fixed points of a Bregman relatively nonexpansive mapping and the …

New Convergence Theorems for Pseudomonotone Variational Inequality on Hadamard Manifolds

Z Ma, L Wang - Symmetry, 2023 - mdpi.com
In this paper, we propose an efficient viscosity type subgradient extragradient algorithm for
solving pseudomonotone variational inequality on Hadamard manifolds which is of …

[PDF][PDF] A technique with diminishing and non-summable step-size for monotone inclusion problems in banach spaces

A Adamu, DU Ozsahin, AH Ibrahim… - Nonlinear Functional …, 2023 - nfaa.kyungnam.ac.kr
In this paper, an algorithm for approximating zeros of sum of three monotone operators is
introduced and its convergence properties are studied in the setting of 2-uniformlyconvex …

Inertial proximal point algorithm for the split common solution problem of monotone operator equations

N Song Ha, T Minh Tuyen, P Thi Van Huyen - Computational and Applied …, 2023 - Springer
This paper provides a new approach to solving the class of split problems. More precisely,
we investigate the split common solution problem for monotone operator equations in real …

A convergence criterion for a class of stationary inclusions in Hilbert spaces

M Sofonea, DA Tarzia - Axioms, 2024 - mdpi.com
Here, we consider a stationary inclusion in a real Hilbert space X, governed by a set of
constraints K, a nonlinear operator A, and an element f∈ X. Under appropriate assumptions …

A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces

HA Abass, M Aphane, OK Oyewole - Fixed Point Theory and Algorithms for …, 2023 - Springer
We introduce a Tseng extragradient method for solving monotone inclusion problem in
Banach space. A strong convergence result of an Halpern inertial extrapolation method for …

ACCELERATED STRONGLY CONVERGENT EXTRAGRADIENT ALGORITHMS TO SOLVE VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN REAL …

N Wairojjana, N Pholasa, C Khunpanuk… - Nonlinear …, 2024 - nfaa.kyungnam.ac.kr
Two inertial extragradient-type algorithms are introduced for solving convex
pseudomonotone variational inequalities with fixed point problems, where the associated …

Parallel inertial forward–backward splitting methods for solving variational inequality problems with variational inclusion constraints

TV Thang, HM Tien - Mathematical Methods in the Applied Sciences - Wiley Online Library
The inertial forward–backward splitting algorithm can be considered as a modified form of
the forward–backward algorithm for variational inequality problems with monotone and …