6533b856fe1ef96bd12b2755

RESEARCH PRODUCT

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

Calogero VetroFrancesca Vetro

subject

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 pointAnalysisMathematics

description

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 for self-mappings in a general class of contractions defined by an implicit relation. In this work, in the setting of partial metric spaces, we study coincidence point and common fixed point theorems for two self-mappings satisfying generalized contractive conditions, defined by implicit relations. Our results unify, extend and generalize some related common fixed point theorems of the literature.

yearjournalcountryeditionlanguage
2013-08-10Journal of Nonlinear Sciences and Applications
https://doi.org/10.22436/jnsa.006.03.01