Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasi-fixed point theorems.
Vetro, C., Vetro, F. (2015). Caristi Type Selections of Multivalued Mappings. JOURNAL OF FUNCTION SPACES, 2015, 1-6 [10.1155/2015/941856].
Caristi Type Selections of Multivalued Mappings
VETRO, Calogero;VETRO, Francesca
2015-01-01
Abstract
Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasi-fixed point theorems.
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