Common fixed points of mappings satisfying implicit contractive conditions

By Vasile Berinde, Francesca Vetro. Fixed Point Theory and Applications, 2012

83 citations recorded by the source corpus.

In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit relation. Our results unify, extend, generalize many related common fixed point theorems from the literature. Mathematics Subject Classification (2000): 47H10, 54H25.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/62018be8b07dd6b7455eb992b206b811aa72d7cd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

Citations in the corpus

Fixed Point Results for F-Contractive Mappings of Hardy-Rogers-Type (2014, background): “Starting from these considerations, the study of fixed and common fixed points of mappings satisfying a certain metrical contractive condition attracted many researchers, see for example [1–3, 5, 6, 8–11, 16, 22–27].”
Multi-valued F-contractions and the solutions of certain functional and integral equations (2013, background): “Starting from these considerations, the study of fixed and common fixed points of mappings satisfying a certain metrical contractive condition attracted many researchers, see for example [3, 4, 6, 11, 14, 15, 21, 23–28].”
Fixed Points Of F-Weak Contractions On Complete Metric Spaces (2014, background): “Introduction and preliminaries Recently, many results of the fixed point problems for maps on metric spaces have been proved [1], [2], [3], [6], [7], [9].”
Some fixed point results for (α,β)-(ψ,Φ)-contractive mappings (2014, background): “In the last decades, the Banach’s theorem [3] has been extensively studied and generalized on many settings, see for example [1] and [4]-[35].”