Existence and duality of generalized vector equilibrium problems

Qamrul Hasan Ansari; Abul Hasan Siddiqi; Yi Wu Soon

doi:10.1006/jmaa.2000.7397

Existence and duality of generalized vector equilibrium problems

Qamrul Hasan Ansari, Abul Hasan Siddiqi^*, Yi Wu Soon

^*Corresponding author for this work

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

32 Scopus citations

Abstract

In this paper, we propose some dual formulations of generalized vector equilibrium problems. By using such dual formulations, we prove the existence of a solution to the generalized vector equilibrium problem under generalized pseudomonotonicity conditions. The results of this paper extend and generalize the results of I.V. Konnov and S. Schaible (2000, J. Optim. Theory Appl., 104, 395-408).

Original language	English
Pages (from-to)	115-126
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	259
Issue number	1
DOIs	https://doi.org/10.1006/jmaa.2000.7397
State	Published - 1 Jul 2001
Externally published	Yes

Keywords

C-quasiconvexity
Duality
Explicitly δ(C)-quasiconvexity
Generalized vector equilibrium problems
Maximal pseudomonotonicity
u-hemicontinuity

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jmaa.2000.7397

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title = "Existence and duality of generalized vector equilibrium problems",

abstract = "In this paper, we propose some dual formulations of generalized vector equilibrium problems. By using such dual formulations, we prove the existence of a solution to the generalized vector equilibrium problem under generalized pseudomonotonicity conditions. The results of this paper extend and generalize the results of I.V. Konnov and S. Schaible (2000, J. Optim. Theory Appl., 104, 395-408).",

keywords = "C-quasiconvexity, Duality, Explicitly δ(C)-quasiconvexity, Generalized vector equilibrium problems, Maximal pseudomonotonicity, u-hemicontinuity",

author = "Ansari, \{Qamrul Hasan\} and Siddiqi, \{Abul Hasan\} and Soon, \{Yi Wu\}",

year = "2001",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - Existence and duality of generalized vector equilibrium problems

AU - Ansari, Qamrul Hasan

AU - Siddiqi, Abul Hasan

AU - Soon, Yi Wu

PY - 2001/7/1

Y1 - 2001/7/1

N2 - In this paper, we propose some dual formulations of generalized vector equilibrium problems. By using such dual formulations, we prove the existence of a solution to the generalized vector equilibrium problem under generalized pseudomonotonicity conditions. The results of this paper extend and generalize the results of I.V. Konnov and S. Schaible (2000, J. Optim. Theory Appl., 104, 395-408).

AB - In this paper, we propose some dual formulations of generalized vector equilibrium problems. By using such dual formulations, we prove the existence of a solution to the generalized vector equilibrium problem under generalized pseudomonotonicity conditions. The results of this paper extend and generalize the results of I.V. Konnov and S. Schaible (2000, J. Optim. Theory Appl., 104, 395-408).

KW - C-quasiconvexity

KW - Duality

KW - Explicitly δ(C)-quasiconvexity

KW - Generalized vector equilibrium problems

KW - Maximal pseudomonotonicity

KW - u-hemicontinuity

UR - https://www.scopus.com/pages/publications/0035402847

U2 - 10.1006/jmaa.2000.7397

DO - 10.1006/jmaa.2000.7397

M3 - Article

AN - SCOPUS:0035402847

SN - 0022-247X

VL - 259

SP - 115

EP - 126

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Existence and duality of generalized vector equilibrium problems

Abstract

Keywords

ASJC Scopus subject areas

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