On generalized vector equilibrium problems

Q. H. Ansari; I. V. Konnov; J. C. Yao

doi:10.1016/S0362-546X(01)00199-7

On generalized vector equilibrium problems

Q. H. Ansari, I. V. Konnov, J. C. Yao^*

^*Corresponding author for this work

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

60 Scopus citations

Abstract

Some existence results for solutions to generalized vector equilibrium problems for C_x-pseudomonotone as well as C_x-quasimonotone multifunctions was established, using Fan-Browder type fixed point theorem of Park. An existence result without any kind of monotonicity assumption was also proved. As special cases, some existence results for solutions to the implicit vector variational inequalities were derived.

Original language	English
Pages (from-to)	543-554
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	1
DOIs	https://doi.org/10.1016/S0362-546X(01)00199-7
State	Published - Aug 2001
Externally published	Yes

Keywords

C-pseudomonotone multifunctions
C-quasimonotone multifunctions
Fan-Browder type fixed point theorem
Generalized vector equilibrium problems
Implicit vector variational inequality problems

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(01)00199-7

Cite this

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title = "On generalized vector equilibrium problems",

abstract = "Some existence results for solutions to generalized vector equilibrium problems for Cx-pseudomonotone as well as Cx-quasimonotone multifunctions was established, using Fan-Browder type fixed point theorem of Park. An existence result without any kind of monotonicity assumption was also proved. As special cases, some existence results for solutions to the implicit vector variational inequalities were derived.",

keywords = "C-pseudomonotone multifunctions, C-quasimonotone multifunctions, Fan-Browder type fixed point theorem, Generalized vector equilibrium problems, Implicit vector variational inequality problems",

author = "Ansari, \{Q. H.\} and Konnov, \{I. V.\} and Yao, \{J. C.\}",

year = "2001",

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language = "English",

volume = "47",

pages = "543--554",

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T1 - On generalized vector equilibrium problems

AU - Ansari, Q. H.

AU - Konnov, I. V.

AU - Yao, J. C.

PY - 2001/8

Y1 - 2001/8

N2 - Some existence results for solutions to generalized vector equilibrium problems for Cx-pseudomonotone as well as Cx-quasimonotone multifunctions was established, using Fan-Browder type fixed point theorem of Park. An existence result without any kind of monotonicity assumption was also proved. As special cases, some existence results for solutions to the implicit vector variational inequalities were derived.

AB - Some existence results for solutions to generalized vector equilibrium problems for Cx-pseudomonotone as well as Cx-quasimonotone multifunctions was established, using Fan-Browder type fixed point theorem of Park. An existence result without any kind of monotonicity assumption was also proved. As special cases, some existence results for solutions to the implicit vector variational inequalities were derived.

KW - C-pseudomonotone multifunctions

KW - C-quasimonotone multifunctions

KW - Fan-Browder type fixed point theorem

KW - Generalized vector equilibrium problems

KW - Implicit vector variational inequality problems

UR - https://www.scopus.com/pages/publications/0035422275

U2 - 10.1016/S0362-546X(01)00199-7

DO - 10.1016/S0362-546X(01)00199-7

M3 - Article

AN - SCOPUS:0035422275

SN - 0362-546X

VL - 47

SP - 543

EP - 554

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

ER -

On generalized vector equilibrium problems

Abstract

Keywords

ASJC Scopus subject areas

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