Generalization of a fixed point theorem of Suzuki type in complete metric space

Rakesh Tiwari; K. C. Deshmukh; Savita Gupta

Rakesh Tiwari Associate Prof. in Mathematics, Govt. V. Y. T. PG. Autonomous College, Durg (C.G.)491001 India
K. C. Deshmukh Department of Mathematics, R. T. M. Nagpur University Nagpur (Maharashtra), 440013 India
Savita Gupta Department of Mathematics, Shri Shankaracharya Institute of Technology and Management Bhilai(C.G.), 492001, India

Keywords: Common fixed point, Complete metric Space.

Abstract

The aim of this paper is to generalize a fixed point result given by Popescu[17]. Our results complement and extend very recent results proved by Suzuki [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008) 1861 - 1869]. To validate our result an example is given.

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