Some fixed point results on E-metric spaces using contraction operators

K. Saravanan, V. Piramanantham, R. Theivaraman

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.

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Published: 2024-01-02

How to Cite this Article:

K. Saravanan, V. Piramanantham, R. Theivaraman, Some fixed point results on E-metric spaces using contraction operators, Adv. Fixed Point Theory, 14 (2024), Article ID 3

Copyright © 2024 K. Saravanan, V. Piramanantham, R. Theivaraman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

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