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Paper Title : Generalization of Banach, Goebel and Kirk Fixed Point Theorems

ISSN : 2395-1303
Year of Publication : 2022
10.5281/zenodo.7438353

Authors: Kalyan V. A, and Dolhare U. P

         


Abstract
The Banach contraction principle [1] is the first important result on fixed points for contractive type mappings. In 1969 Kannan [9], in 1972 Chatterjee [4] and in 2001 Rhoades B. E. [13] gave some interesting results on fixed points. Boyd and Wong [2] obtained more general fixed point theorem by replacing the decreasing function in the theorem of Rakotch [14] and it was further generalized by Nalawade and Dolhare U. P. [12]. In this paper our aim is to discuss about fixed point theory. We have also established fixed point theorem in complete Metric Space, which is a new generalized result in fixed point theory.

Reference
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Keywords
— Fixed point, Fixed point theorem, Contraction mapping, Weakly contraction mapping.