On the Variations of Some Well Known Fixed Point Theorem in Metric Spaces

Krishna Patel^1, and G M Deheri¹

¹Department of Mathematics, Sardar Patel University, Anand, Gujarat, India

Cite this paper:
Krishna Patel and G M Deheri. On the Variations of Some Well Known Fixed Point Theorem in Metric Spaces. Turkish Journal of Analysis and Number Theory. 2015; 3(2):70-74. doi: 10.12691/tjant-3-2-7

Abstract

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.

Keywords:
fixed point metric space sequential convergent subsequential convergent uniqueness

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