New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some Polynomials

Authors : Sirous MORADİ

Pages : 167-175

Doi:10.31197/atnaa.773720

View : 8 | Download : 6

Publication Date : 2020-08-31

Article Type : Research Paper

Abstract :Let insert ignore into journalissuearticles values(X, d); be a complete metric space. In this paper, we study some new fixed point theorems for generalized T_F -contractive mapping defined on complete metric spaces by using graph closed concept and we proved the existence and uniqueness of a fixed point. These conditions are analogous to Ćirić conditions. In this paper, we compare the two concepts of graph closed and sequentially convergent, and we show that the concept of sequentially convergent is a special case of the concept of graph closed. Also, we provide an counterexample for Dubey et. al. and provide an example in support of our main results. Finally, by using our main results, we present an application to solving some polynomials. Our results, extend several results on the topic in the corresponding literature
Keywords : Fixed point, contractive mapping, generalized T F contractive mapping, graph closed