eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2015-06-28
3
2
70
74
10.12691/tjant-3-2-7
TJANT2015327
article
On the Variations of Some Well Known Fixed Point Theorem in Metric Spaces
Krishna Patel
krishnappatel10@gmail.com
1
G M Deheri
1
Department of Mathematics, Sardar Patel University, Anand, Gujarat, India
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.
http://pubs.sciepub.com/tjant/3/2/7/tjant-3-2-7.pdf
fixed point
metric space
sequential convergent
subsequential convergent
uniqueness