Abstract
Recently Samet et al. introduced the notion of \(\alpha\)-\(\psi\)-contractive type mappings. They have been establish some fixed point theorems for the mappings in complete metric spaces. In this paper, we introduce the notion of \(\alpha _{*}\)-\(\psi\)-contractive and weakly increasing without order closed multi-valued mappings on ordered metric spaces with application to initial value problem.
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19 February 2021
The affilaition 1 was incorrect. The correct affiliation is “Department of Pure Mathematics, Sarab Branch, Islamic Azad University Sarab, Sarab, Iran”
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We would like to thank editor and all anonymous reviewers for their comments, which help to improve the quality of this paper.
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All authors contributed equally to the manuscript and typed, read, and approved the final manuscript.
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Sajjad Pahlavany declares that he has no conflict of interest. Jalal Hassanzadeh Asl declares that he has no conflict of interest. Shahram Razapour declares that he has no conflict of interest.
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Communicated by Samy Ponnusamy.
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Pahlavany, S., Asl, J.H. & Rezapour, S. Common fixed points of \(\alpha _{*}\)-\(\psi\)-contractive without order closed multi-valued mappings. J Anal 29, 1025–1042 (2021). https://doi.org/10.1007/s41478-020-00293-3
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DOI: https://doi.org/10.1007/s41478-020-00293-3