Fixed point theorems for improved α-Geraghty contractions in partial metric spaces

Abstract

Rosa and Vetro [V. La Rosa, P. Vetro, J. Nonlinear Sci. Appl., 7 (2014), 1-10] established new fixed point results in complete partial metric spaces. In this paper, we improve the notion of alpha-Geraghty contraction type mappings and establish some common fixed point theorems for a pair of alpha-admissible mappings under an improved notion of alpha-Geraghty contraction type mappings in complete partial metric spaces. We give an example to illustrate these results. An application of main result to the existence of solution of system of integral equations is also presented.