A Note on Fixed Point Theorems in Menger Space

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Published: 2010-06-15
Keywords:
Menger space, Common fixed Point, Reciprocal continuity, Compatible maps, and weak compatible maps.

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D. Gopal, A. S. Ranadive and U. Mishra
Department of Pure & Applied Mathematics G. G. University, Bilaspur, Chhattisgarh, (India)
R. P. Pant
Department of Mathematics Kumaon University, D. S. B. Campus, Nainital, Uttarakhand (India)

Abstract

In the present paper we employ the notion of reciprocal continuity to obtain a common fixed point theorem in Menger space in
which the fixed point may be a point of discontinuity. We also investigate the relationship between continuity of mappings and reciprocal continuity in the setting of Menger spaces. Our result improves the recent result of Singh and Jain1 in Menger spaces and extends many known results in metric spaces.

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Vol. 14 No. 2 (2010): Table of Content

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How to Cite

1.
A Note on Fixed Point Theorems in Menger Space. J. Int. Acad. Phys. Sci. [Internet]. 2010 Jun. 15 [cited 2026 Oct. 23];14(2):195-203. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/316