Generalized vector variational inequality and fuzzy extension
Reads0
Chats0
TLDR
In this article, a generalized vector variational inequality (GVVI) is considered and the existence theorem is established under assumptions of C -pseudomonotonicity and V -hemicontinuity.About:
This article is published in Applied Mathematics Letters.The article was published on 1993-11-01 and is currently open access. It has received 73 citations till now. The article focuses on the topics: Variational inequality & Banach space.read more
Citations
More filters
Book ChapterDOI
Theory of Vector Optimization
Christiane Tammer,Alfred Göpfert +1 more
TL;DR: This work derives necessary and sufficient optimality conditions, a minimal point theorem, a vector-valued variational principle of Ekeland’s type, Lagrangean multiplier rules and duality statements, and discusses a general scalarization procedure.
Journal ArticleDOI
Vector variational inequality as a tool for studying vector optimization problems
TL;DR: In this article, the authors show that a vector variational inequality can be useful tool for studying a vector optimization problem, and they use it to solve the Vector Variational Inequality problem.
Journal ArticleDOI
An existence result for the generalized vector equilibrium problem
Qamrul Hasan Ansari,Jen-Chih Yao +1 more
TL;DR: In this paper, Fan-Browder type fixed-point theorem was used to prove an existence result for the generalized vector equilibrium problem by using Fan Browder Type Fixed-Point theorem due to [1].
Journal ArticleDOI
From scalar to vector equilibrium problems in the quasimonotone case
TL;DR: In this article, existence results for quasimonotone vector equilibrium problems and vector variational inequality problems are derived from an existence result for a scalar equilibrium problem involving two (rather than one) quasiconotone bifunctions.
Journal ArticleDOI
On vector variational inequalities
S. J. Yu,Jen-Chih Yao +1 more
TL;DR: In this article, the concept of weaklyC-pseudomonotone operator is introduced and the Fan lemma is employed to establish several existence results for the generalized vector complementarity problem.
References
More filters
Journal ArticleDOI
On some non-linear elliptic differential-functional equations
TL;DR: In this paper, the results to be obtained can be considered as generalizations of some theorems of Gilbarg [5] and Stampacchia [14] in the case F [ u ] ~ 0.
Journal ArticleDOI
Existence of solutions for a vector variational inequality: an extension of the Hartmann-Stampacchia theorem
TL;DR: In this article, a vector variational inequality is studied under convexity assumptions and without convexness assumptions, and existence theorems for solutions under these assumptions are given.
Journal ArticleDOI
Pseudo-monotone complementarity problems in Hilbert space
Richard W. Cottle,Jen-Chih Yao +1 more
TL;DR: In this paper, some known existence results for a nonlinear complementarity problem in a finite-dimensional Hilbert space are generalized to an infinite-dimensional real Hilbert space and applications to a class of nonlinear complearity problems and the study of the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions are given.
Journal ArticleDOI
On the use of KKM multifunctions in fixed point theory and related topics
TL;DR: In this article, a developpement systematique base on le theoreme de Knaster-Kuratowski-Mazierkiewicz is presented, unifie d'une grande variete de problemes de minimax et de points fixes.
Related Papers (5)
The vector complementary problem and its equivalences with the weak minimal element in ordered spaces
Chen Guang-Ya,Yang Xiao-Qi +1 more