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Volume 8
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Article

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

by
Hüseyin Işık
1,
Babak Mohammadi
2,*,
Choonkil Park
3,* and
Vahid Parvaneh
4
1
Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, 49250 Muş, Turkey
2
Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
3
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
4
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(2), 292; https://doi.org/10.3390/math8020292
Submission received: 4 December 2019 / Revised: 20 December 2019 / Accepted: 24 December 2019 / Published: 21 February 2020
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
Versions Notes

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 common fixed point; endpoint; infinite family; multi-valued mapping; (HS) property

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MDPI and ACS Style

Işık, H.; Mohammadi, B.; Park, C.; Parvaneh, V. Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings. Mathematics 2020, 8, 292. https://doi.org/10.3390/math8020292

AMA Style

Işık H, Mohammadi B, Park C, Parvaneh V. Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings. Mathematics. 2020; 8(2):292. https://doi.org/10.3390/math8020292

Chicago/Turabian Style

Işık, Hüseyin, Babak Mohammadi, Choonkil Park, and Vahid Parvaneh. 2020. "Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings" Mathematics 8, no. 2: 292. https://doi.org/10.3390/math8020292

APA Style

Işık, H., Mohammadi, B., Park, C., & Parvaneh, V. (2020). Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings. Mathematics, 8(2), 292. https://doi.org/10.3390/math8020292

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