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Fixed points and completeness on partial metric spaces
- Source :
- Miskolc Mathematical Notes. 16:369
- Publication Year :
- 2015
- Publisher :
- Mathematical Notes, 2015.
-
Abstract
- Recently, Suzuki [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and characterizes the metric completeness. Paesano and Vetro [D. Paesano and P. Vetro, Suzuki's type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 (2012), 911-920] proved an analogous fixed point result for a selfmapping on a partial metric space that characterizes the partial metric 0-completeness. In this paper we prove a fixed point result for a new class of contractions of Berinde-Suzuki type on a partial metric space. Moreover, using our results, as application we obtain a new characterization of partial metric 0-completeness. Finally, we give a typical application of fixed point methods to integral equation, by using our results.
- Subjects :
- Discrete mathematics
Numerical Analysis
Partial metric 0-completene
Control and Optimization
Algebra and Number Theory
Partial metric space
Injective metric space
Ordered partial metric space
Equivalence of metrics
Convex metric space
Intrinsic metric
Metric space
Settore MAT/05 - Analisi Matematica
Suzuki fixed point theorem
Completeness (order theory)
Metric (mathematics)
Discrete Mathematics and Combinatorics
Metric map
Fixed and common fixed point
Analysis
Mathematics
Subjects
Details
- ISSN :
- 17872413, 17872405, and 18611869
- Volume :
- 16
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....25db197dc59fc9d5f7ec3efb5c782c81