New Properties Under Generalized Contractive Conditions

Document Type : Original Article


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


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.


Main Subjects