Set-Valued Symmetric Generalized Strong Vector Quasi-Equilibrium Problems with Variable Ordering Structures

Autor:	Jing-Nan Li, San-Hua Wang, Yu-Ping Xu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	symmetric generalized strong vector quasi-equilibrium problems variable ordering structures existence of solutions cosmically upper continuity fixed point theorem Mathematics QA1-939
Zdroj:	Mathematics, Vol 8, Iss 9, p 1604 (2020)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math8091604
Popis:	In this paper, two types of set-valued symmetric generalized strong vector quasi-equilibrium problems with variable ordering structures are discussed. By using the concept of cosmically upper continuity rather than the one of upper semicontinuity for cone-valued mapping, some existence theorems of solutions are established under suitable assumptions of cone-continuity and cone-convexity for the equilibrium mappings. Moreover, the results of compactness for solution sets are proven. As applications, some existence results of strong saddle points are obtained. The main results obtained in this paper unify and improve some recent works in the literature.
Databáze:	Directory of Open Access Journals
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