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| Fixed Point Theorems for (p,q)-Quasi-Contraction Mappings in Cone Metric Spaces |
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Citation： |
Wajdi CHAKER,Abdelaziz GHRIBI,Aref JERIBI,Bilel KRICHEN.Fixed Point Theorems for (p,q)-Quasi-Contraction Mappings in Cone Metric Spaces[J].Chinese Annals of Mathematics B,2016,37(2):211~220 |
| Page view： 6594
Net amount： 4023 |
Authors： |
Wajdi CHAKER; Abdelaziz GHRIBI;Aref JERIBI;Bilel KRICHEN |
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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 $2$. |
Keywords： |
Fixed points, $(p,q)$-Quasi-contractions, Cone metric space |
Classification： |
54E40, 47H09, 47H10, 54H25 |
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