Results 21 to 30 of about 745 (143)

Inertial Method for Solving Pseudomonotone Variational Inequality and Fixed Point Problems in Banach Spaces

Axioms, 2023
In this paper, we introduce a new iterative method that combines the inertial subgradient extragradient method and the modified Mann method for solving the pseudomonotone variational inequality problem and the fixed point of quasi-Bregman nonexpansive ...
Rose Maluleka, Godwin Chidi Ugwunnadi, Maggie Aphane   +2 more
doaj   +1 more source

A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we study the strong convergence of an algorithm to solve the variational inequality problem which extends a recent paper (Thong et al., Numerical Algorithms. 78, 1045‐1060 (2018)). We reduce and refine some of their algorithm conditions and we prove the convergence of the algorithm in the presence of some computational errors.
Mostafa Ghadampour, Donal O’Regan, Ebrahim Soori, Ravi P. Agarwal, Ismat Beg   +4 more
wiley   +1 more source

An inertial parallel CQ subgradient extragradient method for variational inequalities application to signal-image recovery

Results in Nonlinear Analysis, 2021
In this paper, we introduce an inertial parallel CQ subgradient extragradient method for finding a common solutions of variational inequality problems.
Ponkamon Kitisak, Watcharaporn Cholamjiak, Damrongsak Yambangwai
doaj   +1 more source

Halpern-Subgradient Extragradient Method for Solving Equilibrium and Common Fixed Point Problems in Reflexive Banach Spaces

Mathematics, 2021
In this paper, using the concept of Bregman distance, we introduce a new Bregman subgradient extragradient method for solving equilibrium and common fixed point problems in a real reflexive Banach space.
Annel Thembinkosi Bokodisa, Lateef Olakunle Jolaoso, Maggie Aphane   +2 more
doaj   +1 more source

Improved subgradient extragradient methods for solving pseudomonotone variational inequalities in Hilbert spaces [PDF]

Applied Numerical Mathematics, 2021
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Viet Thong Duong, Tu Vuong Phan
openaire   +3 more sources

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

Self-adaptive subgradient extragradient-type methods for solving variational inequalities

Journal of Inequalities and Applications, 2022
AbstractIn this paper, we introduce two subgradient extragradient-type algorithms for solving variational inequality problems in the real Hilbert space. The first one can be applied when the mapping f is strongly pseudomonotone (not monotone) and Lipschitz continuous.
Beibei Ma, Wanyu Wang
openaire   +2 more sources

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

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 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