SOME FIXED POINT RESULTS ON E-METRIC SPACES USING CONTRACTION OPERATORS

Abstract

In this paper, we prove the generalizations of the Bianchini contraction and the Ciri´c-Reich-Rus contraction mappings fixed point results using the concept of convergence criteria for semi-interior points in E-metric spaces with non-solid and non-normal set of positive elements E+ of real normed space E (positive cone). Additionally, many examples are included to illustrate the existence of semi-interior points of E+ with empty interior. In addition, we present some applications in the field of applied mathematics that support our main findings