Fixed Point Theorems for (p,q)-Quasi-Contraction Mappings in Cone Metric Spaces |
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| Authors: | Wajdi CHAKER Abdelaziz GHRIBI Aref JERIBI and Bilel KRICHEN |
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| Institution: | 1. Higher Institute of Applied Biology Medenine,El Jorf Road Km 22,Medenine,Tunisia;2. Higher Institute of Business Administration of Sfax,Airport Road Km 4 B.P.N1013 3018 B.P.1013,Sfax,Tunisia;3. Department of Mathematics,Faculty of Science of Sfax,Soukra Road Km 3.5,B.P.1171,3000,Sfax,Tunisia;4. Department of Mathematics,Preparatory Engineering Institute,Menzel Chaker Road Km 0.5,B.P.1172-3018,Sfax,Tunisia |
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| Abstract: | In this work, the authors introduce the concept of
$(p,q)$-quasi-contraction mapping in a cone metric space. We prove
the existence and uniqueness of a fixed point for a
$(p,q)$-quasi-contraction mapping in a complete cone metric space.
The results of this paper generalize and unify further fixed point
theorems for quasi-contraction, convex contraction mappings and
two-sided convex contraction of order $2$. |
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| Keywords: | Fixed points $(p q)$-Quasi-contractions Cone metric space |
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