Feasibility-solvability theorems for generalized vector equilibrium problem in reflexive banach spaces

In this article, the solvability of generalized vector equilibrium problem (GVEP) with set-valued mapping in reflexive Banach spaces is considered. Under suitable conditions, we establish a link between S ^sub K^and [InlineEquation not available: see fulltext.] for the GVEP. Furthermore, new suffici...

Full description

Saved in:
Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 2012; no. 1; pp. 1 - 13
Main Authors Wang, Gang, Che, Hai-tao, Chen, Hai-bin
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.01.2012
Subjects
Banach space
Classification
Existence theorems
Links
Mapping
Mathematical analysis
Theorems
Vectors (mathematics)
Online AccessGet full text

Cover

More Information
Summary:In this article, the solvability of generalized vector equilibrium problem (GVEP) with set-valued mapping in reflexive Banach spaces is considered. Under suitable conditions, we establish a link between S ^sub K^and [InlineEquation not available: see fulltext.] for the GVEP. Furthermore, new sufficient conditions are provided for the nonemptiness and boundedness of the solution set of the GVEP if it is strictly feasible in the strong sense. The new results extend and improve some existence theorems for vector equilibrium problem in some sense. Mathematical subject classification: 49K30; 90C29.[PUBLICATION ABSTRACT]
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
ISSN:1687-1820
2730-5422
1687-1812
DOI:10.1186/1687-1812-2012-38