Fixed point theory in generalized orthogonal metric space

Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space

The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some i...

Fixed Point Theorems in Generalized M-Fuzzy Metric Space

The aim of this paper is to establish fixed-point theorems for generalized M -fuzzy 2-metric space. Our theorem in an extension of result of Fisher [6], Sharma [19], Sharma, Sharma and Iseki [20], Sedghi and Shobe [22] and Veerapandi, et. al.[28]. Mathematics Subject Classification: 47H10, 54H25

Some random fixed point theorems in generalized convex metric space

In this paper, we consider a new random iteration process to approximate a common random fixed point of a finite family of uniformly quasi-Lipschitzian random mappings in generalized convex metric spaces. Our results presented in this paper extend and improve several recent results. c ©2016 All rights reserved.

A Fixed Point Theorem in Generalized D-metric Spaces

A generalized metric space and related fixed point theorems

We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and Rodríguez-López. This new concept of generalized metric spaces recover various topological spaces including standard metric spac...

Fixed point results for Ʇ_Hθ- contractive mappings in orthogonal metric spaces

The main purpose of this research is to extend some fixed point results in orthogonal metric spaces. For this purpose, first, we investigate new mappings in this spaces. We introduce the new notions of functions. Then by using it, we define contractive mappings and then we establish and prove some fixed point theorems for such mappings in orthogonal metric spaces. Then by utilizing examples of ...