Results 11 to 20 of about 505 (126)
Journal of Function Spaces, 2016 Continuity (both lower and upper semicontinuities) results of the Pareto/efficient solution mapping for a parametric vector variational inequality with a polyhedral constraint set are established via scalarization approaches, within the framework of ...
Xin Zuo, Hong-Zhi Wei, Chun-Rong Chen
doaj +2 more sources
Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings
Abstract and Applied Analysis, 2014 We consider a strong mixed vector equilibrium problem in topological vector spaces. Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for ...
Adem Kılıçman +2 more
doaj +2 more sources
A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results. [PDF]
Springerplus, 2016 International audienceAttitude is a key concept in social psychology. The paper presents a novel agent-based model to simulate attitude formation by combining a rational and an emotional components based on cognitive, psychological and social theories ...
Preechasilp P, Wangkeeree R.
europepmc +4 more sources
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In real Hilbert spaces, let the CFPP indicate a common fixed‐point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a variational inequality problem, respectively.
Yun-Ling Cui +7 more
wiley +1 more source
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 A literature review revealed that the general variational inequalities, fixed‐point problems, and Winner–Hopf equations are equivalent. In this study, general variational inequality and fixed‐point problem are considered. We introduced a new iterative method based on a self‐adaptive predictor‐corrector approach for finding a solution to the GVI ...
Kubra Sanaullah +5 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
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 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
wiley +1 more source
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
wiley +1 more source
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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