Some fixed point results on (α, β) − H − φ-contraction mappings in partial metric spaces with application

Authors

  • Heeramani Tiwari Govt. V.Y.T. PG. Autonomous College Durg

Keywords:

H −φ-contraction mapping, generalized H −φ-contraction mapping, (α, β) − H − φ-contraction mapping, partial metric spaces.

Abstract

In this paper, we introduce the notion of H−φ-contraction, generalized H−φ-contraction,
(α, β)−H −φ-contraction mappings and establish some fixed point results for such mappings
in the context of partial metric spaces. An example is presented to illustrate the validity of
the results. Further, the existence of the solution of nonlinear integral equation is discussed
as an application of the result.

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Published

24-04-2024

How to Cite

Tiwari, H. (2024). Some fixed point results on (α, β) − H − φ-contraction mappings in partial metric spaces with application. Communications in Mathematics and Applications, 15(1). Retrieved from http://www.rgnpublications.com/journals/index.php/cma/article/view/2491

Issue

Section

Research Article