Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(6): 1839-1854

Printed November 30, 2015

https://doi.org/10.4134/BKMS.2015.52.6.1839

Copyright © The Korean Mathematical Society.

A generalized common fixed point theorem for two families of self-maps

T. Phaneendra

School of Advanced Sciences

Abstract

Brief developments in metrical fixed point theory are covered and a significant generalization of recent results obtained in \cite{kik11}, \cite{pba}, \cite{phas14} and \cite{psw} is established through an extension of the property (EA) to two sequences of self-maps using the notions of weak compatibility and implicit relation.

Keywords: property (EA), implicit relation, orbital completeness, weak compatibility, common fixed point

MSC numbers: 54H25