Abstract
Abstract In this work, we obtain some fixed point results for generalized weakly T-Chatterjea-contractive and generalized weakly T-Kannan-contractive mappings in the framework of complete b-metric spaces. Examples are provided in order to distinguish these results from the known ones. MSC:47H10, 54H25.
Highlights
Introduction and preliminariesThe theoretical framework of metric fixed point theory has been an active research field over the last nine decades
There have been a lot of fixed point results dealing with mappings satisfying various types of contractive inequalities
In, Chatterjea [ ] established a fixed point theorem for C-contractions
Summary
Introduction and preliminariesThe theoretical framework of metric fixed point theory has been an active research field over the last nine decades. In , Kannan [ ] proved that if (X, d) is a complete metric space, every Kcontraction on X has a unique fixed point. Definition Let (X, d) be a metric space, f : X → X and φ : [ , ∞) → [ , ∞) be a continuous function such that φ(x, y) = if and only if x = y = . ]) Every weak C-contraction on a complete metric space has a unique fixed point.
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