Some notes on PD-operator pairs

Ravindra K Bisht; Vladimir Rakočević

Vol. 18 No. 2 (2013)

Regular Articles

Some notes on PD-operator pairs

Published 2013-10-11

Ravindra K Bisht
Vladimir Rakočević

Ravindra K Bisht
Department of Mathematics-Applied Sciences and Humanities, Bipin Tripahti Kumaon Institute of Technology, Dwarahat-262553 Almora, India

Vladimir Rakočević
University of Nis, Faculty of Sciences and Mathematics, Visegradska 33, 18000 Nis, Serbia

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Abstract

This paper points out several remarks on the paper of Pathak and Rai[H. K.Pathak and D. Rai, Common fixed point theorems for PD-operator pairs under relaxed con-ditions with applications, Journal of Computational and Applied Mathematics 239 (2013)103-113]. In fact, under contractive conditions (assumed in the above paper), proving existence of common fixed point by assuming the notion of PD-operator is equivalent to proving the existence of common fixed point by assuming the existence of common fixed point.

Keywords

coincidence point, point of coincidence, common fixed point

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