Generalized quasivariational inclusion problems with applications

San Hua Wang; Nan Jing Huang; Donal O'regan; S. Chandok; Jin Liang

Generalized quasivariational inclusion problems with applications

San Hua Wang
, Nan Jing Huang
, Donal O'regan
, S. Chandok
, Jin Liang

Mathematics

Dr. B.R. Ambedkar National Institute of Technology
Shanghai Jiao Tong University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, a class of generalized quasivariational inclusion problems are introduced and studied. By using the famous FKKM theorem and the Kakutani-Fan-Glicksberg fixed point theorem, the existence of solutions and the compactness of the solution sets for the generalized quasivariational inclusion problems are obtained under some suitable assumptions. As applications, some existence results for generalized upper quasivariational inclusion problems and quasioptimization problems are given in Hausdorff topological vector spaces.

Original language	English
Pages (from-to)	1261-1271
Number of pages	11
Journal	Journal of Nonlinear and Convex Analysis
Volume	15
Issue number	6
Publication status	Published - 2014

Keywords

Cone-continuity
Generalized quasivariational inclusion problem
Generalized upper quasivariational inclusion problem
Proper quasiconvexity
Quasioptimization problem

Cite this

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title = "Generalized quasivariational inclusion problems with applications",

abstract = "In this paper, a class of generalized quasivariational inclusion problems are introduced and studied. By using the famous FKKM theorem and the Kakutani-Fan-Glicksberg fixed point theorem, the existence of solutions and the compactness of the solution sets for the generalized quasivariational inclusion problems are obtained under some suitable assumptions. As applications, some existence results for generalized upper quasivariational inclusion problems and quasioptimization problems are given in Hausdorff topological vector spaces.",

keywords = "Cone-continuity, Generalized quasivariational inclusion problem, Generalized upper quasivariational inclusion problem, Proper quasiconvexity, Quasioptimization problem",

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T1 - Generalized quasivariational inclusion problems with applications

AU - Wang, San Hua

AU - Huang, Nan Jing

AU - O'regan, Donal

AU - Chandok, S.

AU - Liang, Jin

PY - 2014

Y1 - 2014

N2 - In this paper, a class of generalized quasivariational inclusion problems are introduced and studied. By using the famous FKKM theorem and the Kakutani-Fan-Glicksberg fixed point theorem, the existence of solutions and the compactness of the solution sets for the generalized quasivariational inclusion problems are obtained under some suitable assumptions. As applications, some existence results for generalized upper quasivariational inclusion problems and quasioptimization problems are given in Hausdorff topological vector spaces.

AB - In this paper, a class of generalized quasivariational inclusion problems are introduced and studied. By using the famous FKKM theorem and the Kakutani-Fan-Glicksberg fixed point theorem, the existence of solutions and the compactness of the solution sets for the generalized quasivariational inclusion problems are obtained under some suitable assumptions. As applications, some existence results for generalized upper quasivariational inclusion problems and quasioptimization problems are given in Hausdorff topological vector spaces.

KW - Cone-continuity

KW - Generalized quasivariational inclusion problem

KW - Generalized upper quasivariational inclusion problem

KW - Proper quasiconvexity

KW - Quasioptimization problem

UR - https://www.scopus.com/pages/publications/84918546669

M3 - Article

SN - 1345-4773

VL - 15

SP - 1261

EP - 1271

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 6

ER -

Generalized quasivariational inclusion problems with applications

Abstract

Keywords

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