Fixed Point and Common Fixed Point Theorems on (?,F)-Contractive Multi-Valued Mappings in Uniform Spaces

In this paper, we introduce the notion of (alpha,F)-contractive multi-valued mappings in the setting of uniform spaces. Some fixed point and common fixed point theorems for (alpha,F)-contractive mappings endowed with the uniform spaces are established. The existence and uniqueness of fixed points by using the structure of uniform spaces is discussed in detail. We set up a non-trivial example for the elaboration of these novel results. eventually, an application is also provided to elaborate the applicability of our results.