Generalization of Banach, Goebel and Kirk Fixed Point Theorems

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