Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings

Hüseyin Işık, Babak Mohammadi, Choonkil Park and Vahid Parvaneh
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Hüseyin Işık: Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, 49250 Muş, Turkey
Babak Mohammadi: Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
Choonkil Park: Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
Vahid Parvaneh: Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

Mathematics, 2020, vol. 8, issue 2, 1-12

Abstract: We prove some common fixed point and endpoint theorems for a countable infinite family of multi-valued mappings, as well as Allahyari et al. (2015) did for self-mappings. An example and an application to a system of integral equations are given to show the usability of the results.

Keywords: common fixed point; endpoint; infinite family; multi-valued mapping; (HS) property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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