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 Ciric-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.