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.