Solution of Nonlinear Integral Equation via Fixed Point of Cyclic αLψ-Rational Contraction Mappings in Metric-Like Spaces

In this paper, we introduce the notions of alpha(psi)(L)-rational contractive and cyclic alpha(psi)(L)-rational contractive mappings and establish the existence and uniqueness of fixed points for such mappings in complete metric-like spaces (dislocated metric spaces). The results presented here substantially generalize and extend several comparable results in the existing literature. As an application, we prove new fixed point results for psi L-graphic and cyclic psi L-graphic rational contractive mappings. Moreover, some examples and an application to integral equation are presented here to illustrate the usability of the obtained results.