2016 **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.

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“…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].…”

confidence: 99%

“…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].…”

confidence: 99%

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

confidence: 99%

“…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].…”

confidence: 99%