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Set-Valued Symmetric Generalized Strong Vector Quasi-Equilibrium Problems with Variable Ordering Structures.
- Source :
-
Mathematics (2227-7390) . Sep2020, Vol. 8 Issue 9, p1604. 1p. - Publication Year :
- 2020
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUASI-equilibrium
*EXISTENCE theorems
*SET-valued maps
*CONTINUITY
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 146538246
- Full Text :
- https://doi.org/10.3390/math8091604