Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 12 (2017), 35 -- 50

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C-CLASS FUNCTIONS ON COMMON FIXED POINTS FOR MAPPINGS SATISFYING LINEAR CONTRACTIVE CONDITION

Arslan Hojet Ansari and Said Beloul

Abstract. The purpose of this paper is to prove a common fixed point theorem, by using the concept of weakly subsequential continuity and compatibility of type (E) for two pairs of self mappings satisfying a linear contractive condition in metric spaces, we give two examples to illustrate our results.

2010 Mathematics Subject Classification: 47H10; 54H25.
Keywords: Common fixed point; C-class functions; weakly subsequentially continuous; compatible of type (E).

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Arslan Hojet Ansari
Department of Mathematics,
Karaj Branch, Islamic Azad University, Karaj, Iran.
e-mail:amiranalsismath3@gmail.com


Said Beloul
Department of Mathematics,
Faculty of Exact Sciences, University of El-Oued,
P.O.Box789, 39000, El Oued, Algeria.
e-mail:beloulsaid@gmail.com

http://www.utgjiu.ro/math/sma