A general fixed point theorem for a pair of multi-valued mappings in partial metric spaces

Abstract

Abstract. The purpose of this paper is to prove a general fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in partial metric spaces, which generalizes Theorem 2.

Fixed Points for Two Pairs of Absorbing Mappings in Weak Partial Metric Spaces

“…Recently, the method has been used in the studies of fixed points in metric spaces, symmetric spaces, quasi -metric spaces, b -metric spaces, Hilbert spaces, ultra -metric spaces, convex metric spaces, compact metric spaces, in two and three metric spaces, for single valued mappings, hybrid pairs of mappings and set-valued mappings. Some fixed point theorems for pairs of mappings satisfying implicit relations in partial metric spaces have been proved in [8], [9], [19] - [21]. Some results for pointwise absorbing mappings satisfying implicit relations have been obtained in [15].…”

Other Fixed Point Theorems for Two Pairs of Absorbing Mappings Satisfying an Implicit Relation in Partial Metric Spaces

“…The study of fixed points for mappings in complete partial metric spaces satisfying implicit relations is initiated in [8], [9], [20] - [22].…”

Fixed point theorem of Ciric type in weak partialmetric spaces

“…With this method, the proofs of some fixed point theorems are more simple. The study of fixed points using implicit relations in partial metric spaces is initiated in [6], [7], [13] - [15].…”