A CARISTI SELECTION THEOREM FOR A MULTIFUNCTION SATISFYING AN IMPLICIT CONTRACTIVE CONDITION OF LATIF-BEG TYPE

VALERIU POPA

“Vasile Alecsandri” University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Calea Mărăşeşti 157, Bacău 600115, Romania, e-mail vpopa@ub.ro

Abstract

We prove a general Caristi selection theorem for a multifunction which satisfies an implicit contractive condition of Latif-Beg type, which generalize the result from [13, Theorem 2.1].

Keywords

Multifunction Caristi type operator selection fixed point