Some New Types of α_(β^(-1) )-admissible Mappings and Fixed Point Results

Abstract

In this paper fixed point and common fixed point theorems are proved for contractions under the -admissible and admissible conditions. These results generalize the –admissible condition of self-mappings as explained by many researchers in the literature herein. In general, many research reports introduced the –admissible condition on the basis of . However, this condition is not applicable for finding the fixed points of self-mappings in many cases. We propose –admissible on the basis of which generalize the case we mentioned in the literature. To support our new concepts, we present two examples at the end of this paper.