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I. Kubiaczyk and S. Sharma, Some common fixed point theorems in Menger space under strict contractive conditions, Southeast Asian Bull. Math., 32(2008), 117-124.

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Article

g-reciprocal Continuity in Symmetric Spaces

1Applied Science Department, Bipin Tripahti Kumaon Institute of Technology, Almora, India


American Journal of Mathematical Analysis. 2013, Vol. 1 No. 3, 39-41
DOI: 10.12691/ajma-1-3-3
Copyright © 2013 Science and Education Publishing

Cite this paper:
Arvind Bhatt. g-reciprocal Continuity in Symmetric Spaces. American Journal of Mathematical Analysis. 2013; 1(3):39-41. doi: 10.12691/ajma-1-3-3.

Correspondence to: Arvind Bhatt, Applied Science Department, Bipin Tripahti Kumaon Institute of Technology, Almora, India. Email: arvindbhu_6june@rediffmail.com

Abstract

In this paper, we obtain a common fixed point theorem by employing the notion of g-reciprocal continuity in symmetric spaces. We demonstrate that g-reciprocal continuity ensures the existence of common fixed point under strict contractive conditions, which otherwise do not ensure the existence of fixed points.

Keywords