Results 21 to 30 of about 1,262,506 (179)
Filomat, 2023 In this paper, we present a new hybrid extragradient algorithm for finding a common element of the fixed point problem for a demicontractive mapping and the split equilibrium problem for a pseudomonotone and Lipschitz-type continuous bifunction.
A. Hanjing, S. Suantai, Yeol Chod
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A Sub‐Supersolution Method for p‐Laplacian Equation with Non‐Local Term
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper is concerned with the existence of solutions for p‐Laplace problems with non‐local term. We prove the sub‐supersolution theorem using the pseudomonotone operator theorem and Minty–Browder theorem with appropriate assumptions on M, gi(i = 1,2).
Mei Rong, Qing Miao, Ali Jaballah
wiley +1 more source
Journal of Inequalities and Applications, 2023 This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive ...
Lu-Chuan Ceng +3 more
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Axioms, 2021 Suppose that in a real Hilbert space H, the variational inequality problem with Lipschitzian and pseudomonotone mapping A and the common fixed-point problem of a finite family of nonexpansive mappings and a quasi-nonexpansive mapping with a ...
Lu-Chuan Ceng, Jen-Chih Yao
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A Self‐Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Variational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications. The current study proposed a novel iterative scheme developed through a fixed‐point scheme and formulation for solving variational inequalities.
Muhammad Bux +4 more
wiley +1 more source
A Forward‐Backward‐Forward Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self‐adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators.
Tzu-Chien Yin +2 more
wiley +1 more source
Novel Algorithms for Solving a System of Absolute Value Variational Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide range of equilibrium problems that arise in a variety of disciplines.
Safeera Batool +5 more
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An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator.
Tzu-Chien Yin +3 more
wiley +1 more source
A Self‐Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self‐adaptive rule and the extragradient algorithm.
Li-Jun Zhu +2 more
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Split equality variational inequality problems for pseudomonotone mappings in Banach spaces [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2021 "A new algorithm for approximating solutions of the split equality variational inequality problems (SEVIP) for pseudomonotone mappings in the setting of Banach spaces is introduced. Strong convergence of the sequence generated by the proposed algorithm to a solution of the SEVIP is then derived without assuming the Lipschitz continuity of the ...
Oganeditse A. Boikanyo, Habtu Zegeye
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