Results 71 to 80 of about 270 (155)

Nonsmooth quasi-variational-like inequalities with applications to nonsmooth vector quasi-optimization

, 2017
We consider nonsmooth vector quasi-variational-like inequalities and nonsmooth vector quasioptimization problems. We utilize the method of scalarization to define nonsmooth quasi-variational-like inequalities by means of Clarke generalized ...
Mohammed Alshahrani
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Variational-like inequalities with relaxed η−α pseudomonotone mappings in Banach spaces

, 2005
In this paper, we introduce a new concept of relaxed η−α pseudomonotonicity. By using the KKM technique, some existence results for variational-like inequalities with relaxed η−α pseudomonotone mappings in reflexive Banach spaces are ...
Gu-Yan Ni, Min-Ru Bai, Bai, Min-Ru, Shu-Zi Zhou, Zhou, Shu-Zi, Ni, Gu-Yan   +5 more
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Closedness of the solution map for parametric weak vector equilibrium problems

, 2010
In this paper we introduced a new definition of vector topological pseudomonotonicity to study the parametric weak vector equilibrium problems. The main result gives sufficient conditions for closedness of the solution map defined on the set of ...
Bogdan, M., Salamon, J.
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Generalized vector variational inequality and fuzzy extension

, 1993
A generalized vector variational inequality (GVVI) is considered. We establish the existence theorem for (GVVI) under assumptions of C-pseudomonotonicity and V-hemicontinuity.
Lee, Byung Soo, Sung Jin Cho, Do Sang Kim, Gue Myung Lee, Byung Soo Lee, Kim, Do Sang, Lee, Gue Myung, Cho, Sung Jin   +7 more
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A Subgradient Extragradient Framework Incorporating a Relaxation and Dual Inertial Technique for Variational Inequalities

Mathematics
This paper presents an enhanced algorithm designed to solve variational inequality problems that involve a pseudomonotone and Lipschitz continuous operator in real Hilbert spaces.
Habib ur Rehman, Kanokwan Sitthithakerngkiet, Thidaporn Seangwattana   +2 more
doaj   +1 more source

Existence Results for Densely Pseudomonotone Variational Inequalities

Journal of Mathematical Analysis and Applications, 2001
Let \(K\) be a nonempty convex subset of a Hausdorff topological vector space \(X\) and let \(f:K\rightarrow X^*\) be a nonlinear operator. The paper deals with the study of the following class of variational inequalities: find \(x_0\in K\) such that \(\langle f(x_0),x-x_0\rangle\geq 0\), for all \(x\in K\).
openaire   +2 more sources

Implicit vector equilibrium problems with applications

, 2003
Let X and Y be Hausdorff topological vector spaces, K a nonempty, closed, and convex subset of X, C: K--> 2(Y) a point-to-set mapping such that for any x is an element of K, C(x) is a pointed, closed, and convex cone in Y and int C(x) not equal 0 ...
Li, J, Huang, NJ, Thompson, HB
core   +1 more source

On pseudomonotone set-valued mappings in topological vector space [PDF]

ANZIAM Journal, 2008
AbstractIn this paper we extend results of Inoan and Kolumban on pseudomonotone set-valued mappings to topological vector spaces. An application is made to a variational inequality problem.
openaire   +2 more sources

Enhanced Projection Method for the Solution of the System of Nonlinear Equations Under a More General Assumption than Pseudo-Monotonicity and Lipschitz Continuity

Mathematics
In this manuscript, we propose an efficient algorithm for solving a class of nonlinear operator equations. The algorithm is an improved version of previously established method. The algorithm’s features are as follows: (i) the search direction is bounded
Kanikar Muangchoo, Auwal Bala Abubakar
doaj   +1 more source

Existence Results for Primal and Dual Generalized Vector Equilibrium Problems With Applications to Generalized Semi-Infinite Programming

, 2011
[[abstract]]In this paper, we introduce several kinds of maximal pseudomonotonicity and establish existence theorems of maximal pseudomonotonicity. From these results we establish the existence theorems of generalized vector equilibrium problems.
L.J. Lin
core