Some Fixed Point Results on Boyd-Wong Type Generalized (\(\alpha\), \(\psi\), F)-Geraghty Contraction Mappings in Partial Metric Spaces with Application
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: In this paper, we initiate Boyd-Wong type generalized (\(\alpha\), \(\psi\), F)-Geraghty contraction mappings in the setting of partial metric spaces and investigate the existence and uniqueness of fixed points for the newly constructed contraction mappings. Our results are supported by an example. As an application of these well-established findings, we show that a class of nonlinear integral equations has a solution.
Keywords: F-contraction mapping, Boyd-Wong type generalized (\(\alpha\), \(\psi\), F)-Geraghty contraction mapping, partial metric spaces