Characterizations of solution sets of set-valued generalized pseudoinvex optimization problems

Volume 9, Issue 12, pp 6382--6395 http://dx.doi.org/10.22436/jnsa.009.12.38

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Authors

Lu-Chuan Ceng - Department of Mathematics, Shanghai Normal University, Shanghai 200234, China. Abdul Latif - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.

Abstract

We study the Stampacchia equilibrium-like problems in terms of normal subdifferential for set-valued maps and study their relations with set-valued optimization problems by the scalarization method. Characterizations of the solution sets of generalized pseudoinvex extremum problems are established.

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Keywords

• Set-valued maps
• normal subdifferential
• solution set
• Stampacchia equilibrium-like problem.

MSC

•  49J53
•  49J40
•  90C29

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