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Existence of a common solution of an integral equations system by (psi, alpha, beta)-weakly contractionsopen access

Authors
Lo'lo, ParvanehVaezpour, Seiyed MansourSaadati, RezaPark, Choonkil
Issue Date
Dec-2014
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Keywords
coincidence point; common fixed point; partially weakly increasing mappings; compatible pair of mappings; weakly compatible pair of mappings; semi-compatible pair of mapping; (psi, alpha, beta)-weakly contraction; reciprocally continuous mappings; f-weak reciprocally continuous mappings
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 20
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
20
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143943
DOI
10.1186/1029-242X-2014-517
ISSN
1025-5834
Abstract
In this paper, we consider a system of integral equations and apply the coincidence and common fixed point theorems for four mappings satisfying a (psi, alpha, beta)-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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