A Fixed Point Theorem In 2-Banach Space For Banach Contraction Principle

Abstract

In This Paper we prove An Extension of Banach contraction principle through rational expression in 2-Banach space satisfying Three continuous mappings . Some result with S. banach (1922). And discuss about fixed point theory in 2-Banach space also established a fixed point theorem in 2-Banach space which generalized the result of many mathematician.

Mathematics Subject classification: 47H10,54H25

Keywords: Banach Space, Common Fixed point, Triangle inequality , Normed space,                2- Normed space, 2-Banach space.