New Properties Under Generalized Contractive Conditions

Document Type : Original Article

Author

Hakima Bouhadjera

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

10.22034/kjm.2017.51180

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.

Keywords

Weakly compatible maps

non-δ-compatible maps

properties $(E.A)$

$(H_{E})$

$(HB.1)$ and $(HB.2)$

common fixed point theorems

symmetric space

Subjects

• 37 Dynamical systems and ergodic theory
• 47 Operator theory
• 54 General topology
• 55 Algebraic topology

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