Fixed Point Problems on Generalized Metric Spaces in Perov’s Sense

A Fixed Point Theorem in Generalized D-metric Spaces

On the fixed point theorems in generalized weakly contractive mappings on partial metric spaces

In this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The theorems presented are generalizations of very recent fixed point theorems due to Abdeljawad, Karapinar and Tas. To emphasize the very general nature of these results, we illustrate an example.

Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces

In this paper, we introduce a concept of a generalized $c$-distance in ordered cone $b$-metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$-metric spaces. Our results generalize the corresponding results obtained by Y. J. Cho, R. Saadati, Shenghua Wang (Y. J. Cho, R. Saadati, Shenghua Wang, Common fixed point  heorems on generalized distance in ordere...

On Kannan Fixed Point Principle in Generalized Metric Spaces

The concept of a generalized metric space, where the triangle inequality has been replaced by a more general one involving four points, has been recently introduced by Branciari. Subsequently, some classical metric fixed point theorems have been transferred to such a space. The aim of this note is to show that Kannan’s fixed point theorem in a generalized metric space is a consequence of the Ba...

a fixed point theorem in generalized d-metric spaces