New Properties Under Generalized Contractive Conditions

Document Type : Original Article

Author

Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba, Algeria

Abstract

The aim of this contribution is to establish some common fixed point
theorems for single and set-valued maps under contractive conditions of
integral type on a symmetric space. These maps are assumed to satisfy new
properties which extend the results of Aliouche [3], Aamri and El
Moutawakil [2] and references therein, also they generalize the
notion of non-compatible and non-$\delta$-compatible maps in the setting of
symmetric spaces.

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Main Subjects

Khayyam Journal of Mathematics
Volume 3, Issue 2 - Serial Number 2
October 2017
Pages 185-194

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