Results 1 to 10 of about 270 (155)
Continuity Results and Error Bounds on Pseudomonotone Vector Variational Inequalities via Scalarization [PDF]
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 +3 more sources
Vector equilibrium problems with new types of generalized monotonicity [PDF]
Yugoslav Journal of Operations Research, 2013 In this paper, we introduce the concept of generalized relaxed ®- pseudomonotonicity for vector valued bi-functions. By using the KKM technique, we obtain some substantial results of the vector equilibrium problems with generalized relaxed ...
Mahato N.K., Nahak C.
doaj +2 more sources
An alternative extragradient projection method for quasi-equilibrium problems [PDF]
Journal of Inequalities and Applications, 2018 For the quasi-equilibrium problem where the players’ costs and their strategies both depend on the rival’s decisions, an alternative extragradient projection method for solving it is designed.
Haibin Chen, Yiju Wang, Yi Xu
doaj +2 more sources
Analytic center cutting plane methods for variational inequalities over convex bodies [PDF]
Journal of Inequalities and Applications, 2018 An analytic center cutting plane method is an iterative algorithm based on the computation of analytic centers. In this paper, we propose some analytic center cutting plane methods for solving quasimonotone or pseudomonotone variational inequalities ...
Renying Zeng
doaj +2 more sources
Well-Posedness Results of Certain Variational Inequalities
Mathematics, 2022 Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and ...
Savin Treanţă
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
Mathematical Modelling and Analysis, 2022 In this paper, we introduce a Mann-Krasnoselskii algorithm of inertial form for approximating a common solution of Spit Variational Inclusion Problem (SVIP) and Equilibrium Problem (EP) with paramonotone bifunction in real Hilbert spaces.
Lateef O. Jolaoso +2 more
doaj +1 more source
On Some Variational Inequalities Involving Second-Order Partial Derivatives
Fractal and Fractional, 2022 By using the monotonicity, hemicontinuity, and pseudomonotonicity of the considered integral functionals, we studied the well-posedness of some variational inequality problems governed by partial derivatives of the second-order. To this aim, we introduce
Savin Treanţă +2 more
doaj +1 more source
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