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On multivalued weakly Picard operators in partial Hausdorff metric spaces
Bessem SametMohamed JleliCalogero VetroHemant Kumar Nashinesubject
multivalued operatorDiscrete mathematicsApplied MathematicsInjective metric spacedata dependencepartial metric spaceFixed-point theoremEquivalence of metricsConvex metric spaceIntrinsic metricMetric spaceHausdorff distancefixed pointSettore MAT/05 - Analisi MatematicaMetric (mathematics)Geometry and TopologyMathematicsdescription
We discuss multivalued weakly Picard operators on partial Hausdorff metric spaces. First, we obtain Kikkawa-Suzuki type fixed point theorems for a new type of generalized contractive conditions. Then, we prove data dependence of a fixed points set theorem. Finally, we present sufficient conditions for well-posedness of a fixed point problem. Our results generalize, complement and extend classical theorems in metric and partial metric spaces.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-04-11 | Fixed Point Theory and Applications |