Some Theorems on Integral and Rational Type Contractive Conditions in Dislocated Metric Space

In this article, we establish some coincidence points and common fixed point results on integral and rational type contractive conditions using E.A. and common limit range (CLR) properties in dislocated metric space.

A new Type of Fixed Point Theorem in a Complete Dislocated Metric Space

In this paper a fixed point theorem have been proved in dislocated metric spaces using a class of continuous function G4.

Symmetric Spaces Approach to Various Cyclic Contractions and Application to Probabilistic Spaces

This paper aims to prove fixed point results for cyclic compatible contraction and Hardy–Rogers cyclic contraction in symmetric spaces. Our results generalize the results of Kumari and Panthi (2016) proved for cyclic compatible contraction and modified Hardy–Rogers cyclic contraction in the generating space of a b-quasi metric family and b-dislocated metric family. After that, as an application, we prove a fixed point result in symmetric pre-probabilistic metric spaces (PPM-spaces).

Common fixed point results of $s$-$\alpha $ contraction for a pair of maps in $b$-dislocated metric spaces

The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \( s-\alpha \) contraction for a pair of maps in the setting of \( b \) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [<a href="#1">1</a>]. Furthermore, we provided an example in support of our main result.

Fixed point theorems for generalized weak contraction mapping in generating space of b-dislocated metric spaces

In this paper, the concept of generalized weak contraction mapping in the setting of generating space of [Formula: see text]-dislocated metric space endowed with partial order is introduced and some fixed-point theorems for the mappings in space satisfying the generalized weak contraction are proved. Example is also given in order to justify our main result.