Generalized Minty vector variational-like inequalities and vector optimization problems

S. Al-Homidan; Q. H. Ansari

doi:10.1007/s10957-009-9591-7

Generalized Minty vector variational-like inequalities and vector optimization problems

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

58 Scopus citations

Abstract

In this paper, we study the relationship among the generalized Minty vector variational-like inequality problem, generalized Stampacchia vector variational-like inequality problem and vector optimization problem for nondifferentiable and nonconvex functions. We also consider the weak formulations of the generalized Minty vector variational-like inequality problem and generalized Stampacchia vector variational-like inequality problem and give some relationships between the solutions of these problems and a weak efficient solution of the vector optimization problem.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Optimization Theory and Applications
Volume	144
Issue number	1
DOIs	https://doi.org/10.1007/s10957-009-9591-7
State	Published - Jan 2010

Bibliographical note

Funding Information:
Acknowledgements This research was done during the stay of second authors at KFUPM and was supported by a KFUPM Funded Research Project No. # IN070357 of King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. The authors are grateful to the Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for providing excellent research facilities.

Keywords

Generalized subdifferential
Generalized vector variational-like inequalities
Invex functions
Vector optimization problems

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1007/s10957-009-9591-7

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KW - Vector optimization problems

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Generalized Minty vector variational-like inequalities and vector optimization problems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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