Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 3 (2008), 177 -- 182

A UNIQUE COMMON FIXED POINT THEOREM FOR OCCASIONALLY WEAKLY COMPATIBLE MAPS

Hakima Bouhadjera, Ahcène Djoudi and Brian Fisher

Abstract. The aim of this paper is to establish a unique common fixed point theorem for two pairs of occasionally weakly compatible single and multi-valued maps in a metric space. This result improves the result of Türkoglu et al. [6] and references therein.

2000 Mathematics Subject Classification: 47H10; 54H25.
Keywords: weakly commuting maps; compatible maps; weakly compatible maps; occasionally weakly compatible maps; single and multi-valued maps; common fixed point theorem; metric space.

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References

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Hakima Bouhadjera Ahcène Djoudi
Laboratoire de Mathématiques Appliquées, Laboratoire de Mathématiques Appliquées,
Université Badji Mokhtar, Université Badji Mokhtar,
B. P. 12, 23000, Annaba B. P. 12, 23000, Annaba
Algérie. Algérie.
e-mail: b_hakima2000@yahoo.fr e-mail: adjoudi@yahoo.com
Brian Fisher
Department of Mathematics,
University of Leicester,
Leicester, LE1 7RH, U.K.
e-mail: fbr@le.ac.uk

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