Results 51 to 60 of about 202 (128)
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
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, 2021 We introduce a new parallel hybrid subgradient extragradient method for solving the system of the pseudomonotone equilibrium problem and common fixed point problem in real reflexive Banach spaces.
Maggie Aphane +2 more
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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 +3 more
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Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition
Ekkarath Thailert +3 more
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Mathematics, 2022 Educational data classification has become an effective tool for exploring the hidden pattern or relationship in educational data and predicting students’ performance or teachers’ competency.
Nipa Jun-on +2 more
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A General Self‐Adaptive Relaxed‐PPA Method for Convex Programming with Linear Constraints
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We present an efficient method for solving linearly constrained convex programming. Our algorithmic framework employs an implementable proximal step by a slight relaxation to the subproblem of proximal point algorithm (PPA). In particular, the stepsize choice condition of our algorithm is weaker than some elegant PPA‐type methods.
Xiaoling Fu, Abdellah Bnouhachem
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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
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An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 An extension of subgradient method for solving variational inequality problems is presented. A new iterative process, which relates to the fixed point of a nonexpansive mapping and the current iterative point, is generated. A weak convergence theorem is obtained for three sequences generated by the iterative process under some mild conditions.
Xueyong Wang +3 more
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A Projection‐Type Method for Multivalued Variational Inequality
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We propose a projection‐type method for multivalued variational inequality. The iteration sequence generated by the algorithm is proven to be globally convergent to a solution, provided that the multivalued mapping is continuous with nonempty compact convex values.
Changjie Fang +3 more
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Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper aims to introduce an iterative algorithm based on an inertial technique that uses the minimum number of projections onto a nonempty, closed, and convex set. We show that the algorithm generates a sequence that converges strongly to the common solution of a variational inequality involving inverse strongly monotone mapping and fixed point ...
Watanjeet Singh +2 more
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