Existence of solutions of new generalized mixed vector variational-like inequalities in reflexive Banach spaces
type: Item
instance of: scholarly article
title: Existence of solutions of new generalized mixed vector variational-like inequalities in reflexive Banach spaces
zbMATH Open document ID: 1317.47059
author: Somyot Plubtieng
author: Tipphawan Thammathiwat
published in: Journal of Optimization Theory and Applications
publication date: 2014-11-03T00:00:00Z
review text: The purpose of this paper is to prove the solvability for a class of new generalized mixed vector variational-like inequalities with the concept of a semimonotone multivalued mapping. By using the concept of semicontinuity instead of the concept of monotonicity, the same results are obtained. An interesting question for the problem presented in this paper is whether one can construct an algorithm to approximate a solution of this problem.
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47H04
zbMATH DE Number: 6363593
zbMATH Keywords: generalized mixed vector variational-like inequalities
zbMATH Keywords: semimonotonicity
zbMATH Keywords: complete semicontinuous
zbMATH Keywords: Fan-KKM theorem
zbMATH Keywords: Brouwer fixed point theorem
reviewed by: Hengyou Lan
MaRDI profile type: Publication
full work available at URL: s10957-013-0322-8
OpenAlex ID: W2095037875
cites work: Q3944358
cites work: Q5462176
cites work: Feasibility and solvability of vector variational inequalities with moving cones in Banach spaces
cites work: Vector variational inequalities and vector equilibria. Mathematical theories
cites work: Variational methods in partially ordered spaces
cites work: Scalarization approaches for set-valued vector optimization problems and vector variational inequalities
cites work: Some generalized vector variational inequalities and complementarity problems for multivalued mappings
cites work: Generalized vector \(F\)-variational inequalities and vectorf-complementarity problems for point-to-set mappings
cites work: Existence and stability of solutions for generalized strong vector quasi-equilibrium problem
cites work: On generalized variational-like inequalities
cites work: A class of nonconvex functions and pre-variational inequalities
cites work: On the semi-monotone operator theory and applications
cites work: On the subdifferentials of quasiconvex and pseudoconvex functions and cyclic monotonicity
cites work: Variational-like inequalities with generalized monotone mappings in Banach spaces
cites work: Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces
cites work: Existence theorems for generalized vector variational inequalities with a variable ordering relation
cites work: On generalized strong vector variational-like inequalities in Banach spaces
cites work: A generalized mixed vector variational-like inequality problem
cites work: Q4930436
cites work: A generalized vector variational inequality problem with a set-valued semi-monotone mapping
cites work: Multi-valued contraction mappings
cites work: A generalization of Tychonoff's fixed point theorem
cites work: The vector complementary problem and its equivalences with the weak minimal element in ordered spaces
cites work: Q3782303
DOI: 10.1007/S10957-013-0322-8
Recommended article: Q4910095
Recommended article: Existence of solutions for generalized mixed variational inequalities in reflexive Banach spaces
Recommended article: Extended new generalized mixed vector variational-like inequalities in reflexive Banach spaces
Recommended article: Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces
Recommended article: Existence of solutions of generalized variational inequalities in reflexive Banach spaces
Recommended article: Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces
Recommended article: Q3079888
Recommended article: Existence of vector mixed variational inequalities in Banach spaces
Recommended article: Q3368765
Recommended article: Q5193579
description: scientific article; zbMATH DE number 6363593