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RESEARCH PRODUCT

A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces

Calogero VetroBasit AliMujahid AbbasMujahid Abbas

subject

Discrete mathematicsInjective metric spacepartial metric spaceFixed-point theoremFixed-point propertyCommon fixed pointSchauder fixed point theoremHausdorff distanceSettore MAT/05 - Analisi Matematicamulti-valued mappingContraction mappingGeometry and TopologyBrouwer fixed-point theoremKakutani fixed-point theoremMathematics

description

Abstract In this paper, we obtain a Suzuki type fixed point theorem for a generalized multivalued mapping on a partial Hausdorff metric space. As a consequence of the presented results, we discuss the existence and uniqueness of the bounded solution of a functional equation arising in dynamic programming.

yearjournalcountryeditionlanguage
2013-02-01Topology and its Applications
10.1016/j.topol.2013.01.006http://dx.doi.org/10.1016/j.topol.2013.01.006