Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 3 2 2015 06 28 On the Variations of Some Well Known Fixed Point Theorem in Metric Spaces 70 74 EN Krishna Patel Department of Mathematics, Sardar Patel University, Anand, Gujarat, India G M Deheri TJANT2015327 10.12691/tjant-3-2-7 2015 04 29 2015 05 25 2015 06 28 Results dealing with a Fixed Point for a map need not be continuous on a metric space, which improves a famous classical result, has been presented here, wherein the convergence aspect is duly addressed. This paper aims to present some fixed point theorems on metric spaces. It can be easily observed that these are significant improvement of some of the well-known classical result dealing with the generalization of Banach fixed point theorem. Further, here the rate of convergence aspects is duly taken care of.