Contractive maps in Mustafa-Sims metric spaces

Contractive Maps in Locally Transitive Relational Metric Spaces

Some fixed point results are given for a class of Meir-Keeler contractive maps acting on metric spaces endowed with locally transitive relations. Technical connections with the related statements due to Berzig et al. (2014) are also being discussed.

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

Quasi-contractive Mappings in Fuzzy Metric Spaces

We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.

Fixed point of generalized contractive maps on S^{JS}- metric spaces with two metrics

In this paper we prove existence of fixed point theorems for Z-contractive map, Geraghty type contractive map and interpolative Hardy-Rogers type contractive mapping in the setting of SJS- metric spaces with two metrics. Examples are constructed to high light the significance of newly obtained results.

Equivalent Contractive Conditions in Metric Spaces ∗

In this note, we introduce some contractive conditions which complete the corresponding contractive conditions appeared in references [1]-[11]. By these conditions, we prove that twenty-two contractive conditions are equivalent. Then we use these conditions to get some common fixed point theorems for noncompatible maps and some weakly compatible mappings. There are a number of papers dealing wi...

Quasi-Contractive Mappings in Modular Metric Spaces

In this paper, we prove the existence and uniqueness of fixed points of quasi-contractive mappings in modular metric spaces which develop the theory of metric spaces generated by modulars. Throughout the paper X is a nonempty set and λ > 0. The notion of a metric modular was introduced by Chistyakov 1 as follows. Definition 1.1. A function ω : 0,∞ ×X ×X → 0,∞ is said to be a metric modular on X...