Some Fixed Point Results For A Generalized TAC-Suzuki-Berinde Type F-Contractions In b-Metric Space

Abstract

In this paper, we introduce some classes of mappings called the TAC-SuzukiBerinde type F-contraction and TAC-Suzuki-Berinde type rational F-contraction in the frame work of b-metric spaces and prove some Öxed point results for these classes of mappings. As an application, we establish the existence of a solution for the following nonlinear integral equation: x(t) = g(t) + Z b a M(t; s)K(t; x(s))ds; where M : [a; b] [a; b] ! R +; K : [a; b] R ! R and g : [a; b] ! R are continuous functions. Our results improve and extend the corresponding results in the literature.