A fixed-point principle for a pair of non-commutative operators

Penumarthy Parvateesam Murthy, Tanmoy Som, Erdal Karapinar

Abstract


In this paper, a fixed point principle for a pair of operators (fi,X,d), i = 1,2, where (X,d) is a metric space and f1, f2: X → X, is established under the generalized uniform equivalence condition of different orbits generated by the maps f1 and f2 separately, which gives another generalization of the fixed point principle of Leader [1] and estimates approximations to the fixed points of both the operators simultaneously.

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How to Cite this Article:

Penumarthy Parvateesam Murthy, Tanmoy Som, Erdal Karapinar, A fixed-point principle for a pair of non-commutative operators, Advances in Fixed Point Theory, Vol 4, No 4 (2014), 525-531

Copyright © 2014 Penumarthy Parvateesam Murthy, Tanmoy Som, Erdal Karapinar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

ISSN: 1927-6303

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