A NEW FIXED POINT THEOREM FOR GENERALIZED (α, ψ)-CONTRACTION MAPPING OF QUADRATIC TYPE WITH APPLICATIONS.

Authors

  • Nidhi Sharma Hemchand Yadav Durg University (Chhattisgarh) India

Abstract

In this paper, we aquaint generalized (α, ψ) - contraction mappings of quadratic type and establish common fixed point results in the setting of rectangular quasi b-metric spaces. Our results extend and generalize related fixed point results of Karapinar and Lakzian [13], Alharbi et al. [2] and Khuangsatung et al. [16]. We applied our result to facilitate the existence of a solution to an integral equation.

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Published

24-04-2024

How to Cite

Sharma, N. (2024). A NEW FIXED POINT THEOREM FOR GENERALIZED (α, ψ)-CONTRACTION MAPPING OF QUADRATIC TYPE WITH APPLICATIONS. Communications in Mathematics and Applications, 15(1). Retrieved from http://www.rgnpublications.com/journals/index.php/cma/article/view/2557

Issue

Section

Research Article