Hyperbolic Valued Dislocated Metric Spaces

Function Valued Metric Spaces

In this paper we introduce the notion of an F-metric, as a function valued distance mapping, on a set X and we investigate the theory of F-metric spaces. We show that every metric space may be viewed as an F-metric space and every F-metric space (X, δ) can be regarded as a topological space (X, τδ). In addition, we prove that the category of the so-called extended Fmetric spaces properly contai...

Products of hyperbolic metric spaces

Fixed Point Results in Dislocated Quasi Metric Spaces

The aim of this article is to prove some fixed point theorems in the context of dislocated quasi metric spaces. We have established a new fixed point theorem in complete dislocated quasi metric space using some new type of rationl contraction conditions. We have also proved a unique fixed point for generalized contraction by omitting the condition of continuity imposed by C. T. Aage and J. N. S...

Fixed Point Theorems In Dislocated Quasi-Metric Spaces

Some interesting properties of dislocated quasi-metric are obtained. Using these properties some fixed point theorems for contractions and Kannan mappings are derived dropping continuity condition imposed by F. M. Zeyada et al (The Arabian Journal for Science and Engineering, Volume 31, Number 1A, (2005), 111–114), C. T. Aage and J. N. Salunke (Applied Mathematical Sciences, Vol. 2,59 (2008) 29...

Common Fixed Point Results on Complex-Valued $S$-Metric Spaces

Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems usin...