Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities
โ Scribed by Mircea Balaj
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 286 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
In this paper we obtain first a very general coincidence theorem. From this we derive a new coincidence theorem and two alternative theorems concerning existence of maximal elements. Applications of these results to generalized equilibrium problems and minimax inequalities are given in the last sections.
๐ SIMILAR VOLUMES
In this paper, we establish some fixed point theorems for a family of multivalued maps under mild conditions. By using our fixed point theorems, we derive some maximal element theorems for a particular family of multivalued maps, namely the ฮฆ-condensing multivalued maps. As applications of our resul
New fixed-point theorems for two maps defined on product spaces are obtained. These new results only require one of them to satisfy a noncompactness condition. Previous results required each map to satisfy a noncompactness condition. Applications of our results are given to intersection problems for