Fixed point theorems in E-Convex Metric Spaces

Author:
S. Shyamala Malini1, P. Thangavelu1 and P. Jeyanthi2
Affiliation:

1Department of Mathematics, Aditanar College, Tiruchendur India

2Department of Mathematics, Govindammal Aditanar Colege for Women Tiruchendur India

Email:-ptvelu12@gmail.com

Keyword:
Fixed points, E-convex metric spaces and E-nonexpansive mappings. MSC 2010: 47H10
Issue Date:
April 2013
Abstract:

Wataru Takahashi introduced a convex structure in metric spaces and formulated some fixed point theorems for nonexpansive mappings. Youness introduced the concept of E-convex sets in Rn. Sheiba Grace and Thangavelu discussed the algebraic properties of E-convex sets. The purpose of this paper is to introduce an E-convexity in metric spaces and to formulate some fixed point theorems in E- convex metric spaces.

Pages:
21-28
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

S. Shyamala Malini1, P. Thangavelu1 and P. Jeyanthi2 , "Fixed point theorems in E-Convex Metric Spaces ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 21-28, 2016

Copy the following to cite this URL:

S. Shyamala Malini1, P. Thangavelu1 and P. Jeyanthi2 , "Fixed point theorems in E-Convex Metric Spaces ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 21-28, 2016

Available from: https://www.ultrascientist.org/paper/678/

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