Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems

Yu Han () and Nan-jing Huang ()
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Yu Han: Sichuan University
Nan-jing Huang: Sichuan University

Journal of Optimization Theory and Applications, 2018, vol. 179, issue 1, No 4, 65-85

Abstract: Abstract In this paper, we establish three existence theorems for strongly efficient solutions, weakly efficient solutions and efficient solutions of generalized vector quasi-equilibrium problems by using the Fan-KKM theorem and the scalarization method. Moreover, we investigate the connectedness of the sets of weakly efficient solutions and efficient solutions for generalized vector quasi-equilibrium problems and make a new attempt to establish the path connectedness of the set of weakly efficient solutions for generalized vector quasi-equilibrium problems.

Keywords: Generalized vector quasi-equilibrium problem; Fan-KKM theorem; Connectedness; Path connectedness; 49J40; 65K10; 90C30 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-016-1032-9

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