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COMMON FIXED POINTS IN CONVEX 2-METRIC SPACES


SANJAY KUMAR
CIET, NCERT, NEW DELHI-110016-INDIA, email: sanjaymudgal2004@yahoo.com

Issue:

SSRSMI, Number 1, Volume XIX

Section:

Volume 19, Number 1

Abstract:

In this paper, we introduce the concept of convex 2-metric spaces and present a generalization of Banach contraction principle in this newly defined space. Our result is a generalization of some well known results of 2-metric spaces. In 1970 Takahashi [4] introduced the notion of convex metric spaces and studied some fixed point theorems for non-expansive mappings in this space. Gahler [1] introduced the concept of 2-metric space alike to metric space. The purpose of this paper is to introduce the concept of convex 2-metric space analogue to convex metric space and obtain a generalization of Banach contraction principle in this space.

Keywords:

concept of convex 2-metric space, W-affine mapping, common fixed point.

Code [ID]:

SSRSMI200901V19S01A0009 [0003014]

Full paper:

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