Fixed point theorems satisfying rational tower-type mapping in a complete metric spaces
نویسندگان
1 Department of Mathematics, College of Physical and Applied Sciences, Michael Okpara University of Agriculture, Umudike, P.M.B 7267, Umuahia, Abia State, Nigeria
2 Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria
doi
10.22075/ijnaa.2024.31183.4604چکیده
In this paper, we define rational type Geraghty tower contraction mapping and prove the existence of such finite and infinite rational Geraghty tower theorem(s) in complete metric spaces. The results we establish in this paper extend, improve, generalise and unify some existing results in the literature.