Generalized vector quasi-equilibrium problems with applications

Qamrul Hasan Ansari; Fabián Flores-Bazán

doi:10.1016/S0022-247X(02)00535-8

Generalized vector quasi-equilibrium problems with applications

Qamrul Hasan Ansari
, Fabián Flores-Bazán^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

69 Scopus citations

Abstract

In this paper, we consider the generalized vector quasi-equilibrium problem with or without involving Φ-condensing maps and prove the existence of its solution by using known fixed point and maximal element theorems. As applications of our results, we derive some existence results for a solution to the vector quasi-optimization problem for nondifferentiable functions and vector quasi-saddle point problem.

Original language	English
Pages (from-to)	246-256
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	277
Issue number	1
DOIs	https://doi.org/10.1016/S0022-247X(02)00535-8
State	Published - 1 Jan 2003
Externally published	Yes

Keywords

Generalized vector quasi-equilibrium problem
Regular C-quasi-saddle point
Subdifferential
Vector quasi-optimization problem
φ-condensing maps

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-247X(02)00535-8

Cite this

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abstract = "In this paper, we consider the generalized vector quasi-equilibrium problem with or without involving Φ-condensing maps and prove the existence of its solution by using known fixed point and maximal element theorems. As applications of our results, we derive some existence results for a solution to the vector quasi-optimization problem for nondifferentiable functions and vector quasi-saddle point problem.",

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N2 - In this paper, we consider the generalized vector quasi-equilibrium problem with or without involving Φ-condensing maps and prove the existence of its solution by using known fixed point and maximal element theorems. As applications of our results, we derive some existence results for a solution to the vector quasi-optimization problem for nondifferentiable functions and vector quasi-saddle point problem.

AB - In this paper, we consider the generalized vector quasi-equilibrium problem with or without involving Φ-condensing maps and prove the existence of its solution by using known fixed point and maximal element theorems. As applications of our results, we derive some existence results for a solution to the vector quasi-optimization problem for nondifferentiable functions and vector quasi-saddle point problem.

KW - Generalized vector quasi-equilibrium problem

KW - Regular C-quasi-saddle point

KW - Subdifferential

KW - Vector quasi-optimization problem

KW - φ-condensing maps

UR - https://www.scopus.com/pages/publications/0037280769

U2 - 10.1016/S0022-247X(02)00535-8

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EP - 256

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Generalized vector quasi-equilibrium problems with applications

Abstract

Keywords

ASJC Scopus subject areas

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