g-reciprocal Continuity in Symmetric Spaces

Arvind Bhatt^1,

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

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

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:
fixed point theorems symmetric spaces g-reciprocal continuity noncompatible mappings g-compatible

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