Existence of Common Fixed Point for Pairs of Less-compatible Mappings of Type (E) in Symmetric Space
Wakuma Masresha Kebede *
Department of Mathematics, Borana University, Oromia, Ethiopia.
Leta Bekere Kumssa
Department of Mathematics, Madda Walabu University, Oromia, Ethiopia.
*Author to whom correspondence should be addressed.
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