Characterizations of solution sets of set-valued generalized pseudoinvex optimization problems
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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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ISRP Style
Lu-Chuan Ceng, Abdul Latif, Characterizations of solution sets of set-valued generalized pseudoinvex optimization problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 6382--6395
AMA Style
Ceng Lu-Chuan, Latif Abdul, Characterizations of solution sets of set-valued generalized pseudoinvex optimization problems. J. Nonlinear Sci. Appl. (2016); 9(12):6382--6395
Chicago/Turabian Style
Ceng, Lu-Chuan, Latif, Abdul. "Characterizations of solution sets of set-valued generalized pseudoinvex optimization problems." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 6382--6395
Keywords
- Set-valued maps
- normal subdifferential
- solution set
- Stampacchia equilibrium-like problem.
MSC
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