6533b7dcfe1ef96bd1273397

RESEARCH PRODUCT

Fixed point and homotopy results for mixed multi-valued mappings in 0-complete partial metric spaces*

Calogero VetroMaria Stella Adamo

subject

Discrete mathematicsHomotopy categoryPartial metric spacefixed pointsApplied MathematicsInjective metric spacepartial metric spaceslcsh:QA299.6-433multi-valued mappingslcsh:AnalysisFixed pointFixed-point propertyIntrinsic metricConvex metric spacen-connectedMetric spaceSettore MAT/05 - Analisi Matematicamulti-valued mappingMetric (mathematics)AnalysisMathematics

description

We give sufficient conditions for the existence of common fixed points for a pair of mixed multi-valued mappings in the setting of 0-complete partial metric spaces. An example is given to demonstrate the usefulness of our results over the existing results in metric spaces. Finally, we prove a homotopy theorem via fixed point results.

10.15388/na.2015.2.1http://hdl.handle.net/10447/103241