FIXED POINT RESULTS FOR MULTIVALUED F-CONTRACTIONS WITH APPLICATION TO INTEGRAL AND MATRIX EQUATIONS

In this paper, we prove the existence theorems for fixed points of multivalued non-linear F-contractions in T-orbitally complete metric spaces via introducing the concept of multivalued alpha-orbital admissible mappings. Presented theorems generalize and extend many existing results including Altun et al. (2016) and Ciric (2008). Non-trivial examples are also given to illustrate our main results and to show that our results are proper generalization. As applications, we prove the existence of the solution of Non-Linear Matrix Equation and Fredholm Integral Equation of Second Kind.