Existence of Common Fixed Point for Pairs of Less-compatible Mappings of Type (E) in Symmetric Space

Wakuma Masresha Kebede; Leta Bekere Kumssa

Existence of Common Fixed Point for Pairs of Less-compatible Mappings of Type (E) in Symmetric Space

Wakuma Masresha Kebede

Leta Bekere Kumssa

Asian Journal of Advances in Research, Volume 18, Issue 3, Page 12-20

Published: 10 March 2023

Abstract

This paper presents a condition under which a common fixed point exist for pairs of self-mappings by defining new notions of less-compatibility of type (E) and α-generalized Ćirić type F- contraction. By these two notions we establish some common fixed point theorem and prove the Existence and uniqueness of common fixed point of mappings satisfying these notions. Generally, our study generalize and improve the result of Anita Tomar et al., “Electronic journal of mathematical analysis and application, Jan, 2019”. Additionally, different corollaries and some illustration is presented in our work.

Keywords:

Common fixed point
compatible mapping of type (E)
Ćirić type F- contraction

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How to Cite

Kebede, W. M., & Kumssa, L. B. (2023). Existence of Common Fixed Point for Pairs of Less-compatible Mappings of Type (E) in Symmetric Space. Asian Journal of Advances in Research, 18(3), 12-20. Retrieved from https://www.mbimph.com/index.php/AJOAIR/article/view/3410

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