Search results for " partial metric"

showing 6 items of 16 documents

COMMON FIXED POINTS FOR psi-CONTRACTIONS ON PARTIAL METRIC SPACES

2013

We prove some generalized versions of an interesting result of Matthews using conditions of different type in 0-complete partial metric spaces. We give, also, a homotopy result for operators on partial metric spaces.

Points of coincidence0-complete partial metric spaceSettore MAT/05 - Analisi Matematicapsi-contractionscommon fixed point
researchProduct

Common fixed points of mappings satisfying implicit relations in partial metric spaces

2013

Matthews, [S. G. Matthews, Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applications, in: Ann. New York Acad. Sci., vol. 728, 1994, pp. 183-197], introduced and studied the concept of partial metric space, as a part of the study of denotational semantics of dataflow networks. He also obtained a Banach type fixed point theorem on complete partial metric spaces. Very recently Berinde and Vetro, [V. Berinde, F. Vetro, Common fixed points of mappings satisfying implicit contractive conditions, Fixed Point Theory and Applications 2012, 2012:105], discussed, in the setting of metric and ordered metric spaces, coincidence point and common fixed point theorems fo…

Pure mathematicsAlgebra and Number TheoryDataflowCoincidence point common fixed point contraction implicit relation partial metric space.Fixed-point theoremFixed pointMetric spaceDenotational semanticsSettore MAT/05 - Analisi MatematicaCommon fixed pointGeneral topologyCoincidence pointAnalysisMathematicsJournal of Nonlinear Sciences and Applications
researchProduct

Fixed points for Geraghty-Contractions in partial metric spaces

2015

We establish some fixed point theorems for mappings satisfying Geraghty-type contractive conditions in the setting of partial metric spaces and ordered partial metric spaces. Presented theorems extend and generalize many existing results in the literature. Examples are given showing that these results are proper extensions of the existing ones. c ©2014 All rights reserved.

Pure mathematicsAlgebra and Number TheoryInjective metric spaceEquivalence of metricsCoincidence point partial metric space ordered partial metric space Geraghty-type contractive condition fixed point.TopologyIntrinsic metricConvex metric spaceUniform continuityMetric spaceSettore MAT/05 - Analisi MatematicaFréchet spaceMetric mapAnalysisMathematicsJournal of Nonlinear Sciences and Applications
researchProduct

A fixed point theorem for (varphi,L)-weak contraction mappings on a partial metric space

2014

In this paper, we explore (varphi,L)-weak contractions of Berinde by obtaining Suzuki-type fixed point results. Thus, we obtain generalized fixed point results for Kannan's, Chatterjea's and Zamfirescu's mappings on a 0-complete partial metric space. In this way we obtain very general fixed point theorems that extend and generalize several related results from the literature.

Settore MAT/05 - Analisi Matematica(varphiL)-weak contraction partial metric 0-complete space
researchProduct

Common fixed points of generalized Mizoguchi-Takahashi type contractions in partial metric spaces

2015

We give some common fixed point results for multivalued mappings in the setting of complete partial metric spaces. Our theorems extend and complement analogous results in the existing literature on metric and partial metric spaces. Finally, we provide an example to illustrate the new theory.

Settore MAT/05 - Analisi MatematicaCommon fixed point fixed point multivalued mapping partial metric space
researchProduct

Fixed points for weak $\varphi$-contractions on partial metric spaces

2011

In this paper, following [W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003) 79-89], we give a fixed point result for cyclic weak $\varphi$-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak $\varphi$-contractions is also given.

Settore MAT/05 - Analisi MatematicaFixed points Partial metric space Weak cyclic $\varphi$-contractions.
researchProduct