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Singh B., Jain S., A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl., 301(2005), 439-448.

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Article

Some Fixed Point Theorems of Semi Compatible and Occasionally Weakly Compatible Mappings in Menger Space

1NIT Manipur, Takyelpat, Imphal, Pin, Manipur, India

2D. M. College of Science, Imphal, Pin, Manipur, India


American Journal of Applied Mathematics and Statistics. 2015, Vol. 3 No. 1, 29-33
DOI: 10.12691/ajams-3-1-6
Copyright © 2015 Science and Education Publishing

Cite this paper:
Y. Rohen Singh, L. Premila Devi. Some Fixed Point Theorems of Semi Compatible and Occasionally Weakly Compatible Mappings in Menger Space. American Journal of Applied Mathematics and Statistics. 2015; 3(1):29-33. doi: 10.12691/ajams-3-1-6.

Correspondence to: Y.  Rohen Singh, NIT Manipur, Takyelpat, Imphal, Pin, Manipur, India. Email: ymnehor2008@yahoo.com

Abstract

The notion of semi compatible mappings was introduced by Cho. Sharma and Sahu (Semicompatibility and fixed points, Math. Japon, 42(1), 1995, 91-98) and the notion of occationally weakly compatible mappings was introduced by Al-Thagafi M. A., Shahzad N. (Generalized I-non expansive selfmaps and invariant approximations, Acta. Math. Sinica (English series) 24(5), 2008, 867-876). In this paper, we prove a common fixed point theorem in Menger space using the concept of semi compatible and occasionally weakly compatible mappings. Some results are also given as corollaries. Our results generalise some similar results in the literature.

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