Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2012; 27(4): 733-743

Printed December 1, 2012

https://doi.org/10.4134/CKMS.2012.27.4.733

Copyright © The Korean Mathematical Society.

Coincidence and common fixed point theorems for single-valued and set-valued mappings

Badri Datt Pant, Bessem Samet, and Sunny Chauhan

Government Degree College,, Universit\'{e} de Tunis, Ecole Sup\'{e}rieure des Sciences et Techniques de Tunis,, R. H. Government Postgraduate College,

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In the present paper, we prove common fixed point theorems for single-valued and set-valued occasionally weakly compatible mappings in Menger spaces. Our results improve and extend the results of Chen and Chang [Chi-Ming Chen and Tong-Huei Chang, $Common$ $fixed$ $point$ $theorems$ $in$ $Menger$ $spaces$, Int. J. Math. Math. Sci. $\bf 2006$ (2006), Article ID 75931, Pages 1--15].

Keywords: triangle norm, Menger space, occasionally weakly compatible maps, fixed point.

MSC numbers: Primary 47H10; Secondary 54H25

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