Results 21 to 30 of about 270 (155)
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
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A Note on the Generalized Nonlinear Vector Variational‐Like Inequality Problem
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we discuss two variants of the generalized nonlinear vector variational‐like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof.
Ankit Gupta +5 more
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The primary objective of this study is to introduce two novel extragradient‐type iterative schemes for solving variational inequality problems in a real Hilbert space. The proposed iterative schemes extend the well‐known subgradient extragradient method and are used to solve variational inequalities involving the pseudomonotone operator in real Hilbert
Chainarong Khunpanuk +3 more
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Pan-American Journal of Mathematics, 2022 In this paper we study vector mixed variational inequality problem under (η, C)-pseudomonotonicity and densely (η, f)-C-pseudo-monotonocity in reflexive Banach space.
Sujeet Kumar, Sabyasachi Pani
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Well-Posedness of Triequilibrium-Like Problems
International Journal of Analysis and Applications, 2022 This work emphasizes in presenting new class of equilibrium-like problems, termed as equilibrium-like problems with trifunction. We establish some metric characterizations for the well-posed triequilibrium-like problems.
Misbah Iram Bloach +2 more
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Strong Convergent Theorems Governed by Pseudo-Monotone Mappings
Mathematics, 2020 The purpose of this paper is to introduce two different kinds of iterative algorithms with inertial effects for solving variational inequalities. The iterative processes are based on the extragradient method, the Mann-type method and the viscosity method.
Liya Liu, Xiaolong Qin, Jen-Chih Yao
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Regularization of Brézis pseudomonotone variational inequalities
Set-Valued and Variational Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bianchi Monica, Pini Rita, Kassay Gabor
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On the solution existence of pseudomonotone variational inequalities [PDF]
Journal of Global Optimization, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bui Trong Kien +2 more
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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 +2 more
wiley +1 more source
Variational inequalities governed by strongly pseudomonotone operators [PDF]
Optimization, 2021 Qualitative and quantitative aspects for variational inequalities governed by strongly pseudomonotone operators on Hilbert space are investigated in this paper. First, we establish a global error bound for the solution set of the given problem with the residual function being the normal map.
Pham Tien Kha, Pham Duy Khanh
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