6533b827fe1ef96bd1287196

RESEARCH PRODUCT

Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces

Mujahid AbbasCalogero VetroHassen Aydi

subject

Discrete mathematicsNadlerʼs fixed point theoremPure mathematicsInjective metric spacePartial Hausdorff metricMulti-valued mappingsNadler’s fixed point theoremMulti-valued mappingConvex metric spaceIntrinsic metricMetric spaceHausdorff distanceSettore MAT/05 - Analisi MatematicaHausdorff dimensionHausdorff measureGeometry and TopologyMetric differentialMathematics

description

Abstract In this paper, we introduce the concept of a partial Hausdorff metric. We initiate study of fixed point theory for multi-valued mappings on partial metric space using the partial Hausdorff metric and prove an analogous to the well-known Nadlerʼs fixed point theorem. Moreover, we give a homotopy result as application of our main result.

yearjournalcountryeditionlanguage
2012-09-01
10.1016/j.topol.2012.06.012http://hdl.handle.net/10447/64100