Existence of a common solution of an integral equations system by (ψ,α,β)-weakly contractions

被引：0
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作者：
Parvaneh Lo’lo’
Seiyed Mansour Vaezpour
Reza Saadati
Choonkil Park
机构：
[1] Islamic Azad University (IAU),Department of Mathematics, Science and Research Branch
[2] Amirkabir University of Technology,Department of Mathematics and Computer Science
[3] Iran University of Science and Technology,Department of Mathematics
[4] Hanyang University,Department of Mathematics, Research Institute for Natural Sciences
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
coincidence point; common fixed point; partially weakly increasing mappings; compatible pair of mappings; weakly compatible pair of mappings; semi-compatible pair of mapping; -weakly contraction; reciprocally continuous mappings; -weak reciprocally continuous mappings;
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摘要：
In this paper, we consider a system of integral equations and apply the coincidence and common fixed point theorems for four mappings satisfying a (ψ,α,β)-weakly contractive condition in ordered metric spaces to prove the existence of a common solution to integral equations. Also we furnish suitable examples to demonstrate the validity of the hypotheses of our results.
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