Results 31 to 40 of about 142 (116)

On Strengthened Inertial-Type Subgradient Extragradient Rule with Adaptive Step Sizes for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive Mappings

Mathematics, 2022
In a real Hilbert space, let the VIP denote a pseudomonotone variational inequality problem with Lipschitz continuity operator, and let the CFPP indicate a common fixed-point problem of finitely many nonexpansive mappings and an asymptotically ...
Lu-Chuan Ceng, Ching-Feng Wen, Yeong-Cheng Liou, Jen-Chih Yao   +3 more
doaj   +1 more source

A New Construction and Convergence Analysis of Non-Monotonic Iterative Methods for Solving ρ-Demicontractive Fixed Point Problems and Variational Inequalities Involving Pseudomonotone Mapping

Mathematics, 2022
Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
doaj   +1 more source

A New Iterative Algorithm for Pseudomonotone Equilibrium Problem and a Finite Family of Demicontractive Mappings

Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020
In this paper, we introduce a new iterative method in a real Hilbert space for approximating a point in the solution set of a pseudomonotone equilibrium problem which is a common fixed point of a finite family of demicontractive mappings. Our result does not require that we impose the condition that the sum of the control sequences used in the finite ...
F. U. Ogbuisi, F. O. Isiogugu, Patricia J. Y. Wong   +2 more
wiley   +1 more source

Cyclic subgradient extragradient methods for equilibrium problems [PDF]

Arabian Journal of Mathematics, 2016
En este artículo, presentamos un algoritmo de extragradiente de subgradiente cíclico y su forma modificada para encontrar una solución de un sistema de problemas de equilibrio para una clase de bifunciones continuas de tipo pseudomonotono y Lipschitz. La idea principal de estos algoritmos se origina a partir de varios resultados previamente conocidos ...
openaire   +1 more source

A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems

Fixed Point Theory and Applications, 2020
In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces.
Lateef Olakunle Jolaoso, Maggie Aphane
doaj   +1 more source

Self-adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi-nonexpansive fixed point problems

Journal of Inequalities and Applications, 2019
In this paper, we introduce a new algorithm with self-adaptive method for finding a solution of the variational inequality problem involving monotone operator and the fixed point problem of a quasi-nonexpansive mapping with a demiclosedness property in a
Ming Tian, Mengying Tong
doaj   +1 more source

A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications

Journal of Inequalities and Applications, 2023
In this article, we introduce an inertial-type algorithm that combines the extragradient subgradient method, the projection contraction method, and the viscosity method.
Austine Efut Ofem, Akindele Adebayo Mebawondu, Godwin Chidi Ugwunnadi, Hüseyin Işık, Ojen Kumar Narain   +4 more
doaj   +1 more source

Self adaptive viscosity-type inertial extragradient algorithms for solving variational inequalities with applications

Mathematical Modelling and Analysis, 2022
In this paper, we introduce two new inertial extragradient algorithms with non-monotonic stepsizes for solving monotone and Lipschitz continuous variational inequality problems in real Hilbert spaces.
Bing Tan, Xiaolong Qin
doaj   +1 more source

Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator

Mathematics, 2020
Two inertial subgradient extragradient algorithms for solving variational inequality problems involving pseudomonotone operator are proposed in this article.
Jamilu Abubakar, Poom Kumam, Habib ur Rehman, Abdulkarim Hassan Ibrahim   +3 more
doaj   +1 more source

A New Extragradient‐Type Algorithm for the Split Feasibility Problem

Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016
We consider the split feasibility problem (SFP) in Hilbert spaces, inspired by extragradient method presented by Ceng, Ansari for split feasibility problem, subgradient extragradient method proposed by Censor, and variant extragradient‐type method presented by Yao for variational inequalities; we suggest an extragradient‐type algorithm for the SFP.
Yazheng Dang, Yan Gao, Bo Wang, Reza Jazar   +3 more
wiley   +1 more source