Some Results by Using CLR’s-Property in Probabilistic 2-Metric Space

The aim of this paper is to generate two fixed point theorems in probabilistic 2-metric space by applying CLR’S-property and occasionally weakly compatible mappings (OWC), these two results generalize the theorem proved by V. K. Gupta, Arihant Jain and Rajesh Kumar. Further these results are justified with suitable examples.

Expansion Mapping Theorem for Four Mappings Satisfying Common Limit in the Range Property in b-Metric Space

In the present paper, for four weakly compatible mappings in pairs, an expansion mapping theorem has been developed in b-metric space, meeting common limit range property. We proved this theorem without using the b-metric space's completeness condition. The result is an extension and generalization of several metric space results available. To confirm the finding, a suitable example is also discussed.

A result on Banach Space using Property E.A

Objective/Aim: To establish the existence of common fixed point theorem for four self-mappings in Banach space. Method: This method includes using weaker conditions like property E.A and weakly compatible mappings. Findings: Unique common fixed point is generated using different conditions. This result is supported by the provision of a suitable example.Novelty/Improvement: The concept of property E.A along with weakly compatible mappings is employed and is weaker than the concept of continuity and compatibility. Keywords: Fixed point; metric space; Normed space; Banach space; EA property; weakly compatible mappings