Contractive mappings, Kannan mappings and metric completeness

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.

Cone metric spaces and fixed point theorems of T -Kannan contractive mappings

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T -Kannan type mappings on complete cone metric spaces depended on another function.

Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings

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...

Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces

The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized α-admissible modular contractive mappings in modular metric spaces. As applications, we deriv...