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