Berinde-Type Generalized \(\alpha\) - \(\beta\) - \(\psi\) Contractive Mappings in Partial Metric Spaces and Some Related Fixed Points

Heeramani Tiwari *

Department of Mathematics, Govt. V.Y.T. PG. Autonomous College, Durg, Chhattisgarh, India.

Padmavati

Department of Mathematics, Govt. V.Y.T. PG. Autonomous College, Durg, Chhattisgarh, India.

*Author to whom correspondence should be addressed.


Abstract

Aims/ Objectives: The objective of this paper is to introduce the notion of generalized \(\alpha\) - \(\beta\) - \(\psi\) contractive mappings involving rational expressions and establish existence and uniqueness of fixed points of Berinde type generalized \(\alpha\) - \(\beta\) - \(\psi\) contractive mappings in the context of partial metric spaces. Additionally, we provide an example in support of our results.

Keywords: Generalized \(\alpha\) - \(\beta\) - \(\psi\) contractive mappings, partial metric spaces, generalized almost contractions


How to Cite

Tiwari, Heeramani, and Padmavati. 2023. “Berinde-Type Generalized \(\alpha\) - \(\beta\) - \(\psi\) Contractive Mappings in Partial Metric Spaces and Some Related Fixed Points”. Asian Research Journal of Mathematics 19 (11):69-78. https://doi.org/10.9734/arjom/2023/v19i11754.

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