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Asian Research Journal of Mathematics

Asian Research Journal of Mathematics, 2456-477X,Vol.: 3, Issue.: 2

 

Original-research-article

 

On Caristi-Type Fixed Point Theorem in Cone Metric Space and Application

 

 

Samih Lazaiz1*, Mohamed Aamri1 and Omar Zakary2
1Laboratory of Algebra Analysis and Applications, Department of Mathematics and Computer Science, Faculty of Sciences Ben MSik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco.
2Laboratory of Analysis, Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben MSik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco.

 

Abstracts

 

The aim of this paper is to generalize Caristi's fixed point theorem. For that we extend the Száz maximum principle in normed space and, we introduce a new class of functions which generalize the notion of dominated function in Caristi's fixed point theorem. As a consequence, we obtain some common fixed point results.

 

Keywords :

Cone metric space; Caristi's fixed point theorem; lower semi continuity; strongly minihedral cone; continuous cone.

 

Full Article - PDF    Page 1-13    Article Metrics

 

DOI : 10.9734/ARJOM/2017/31645

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