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Mathematics
Volume 8
Issue 2
10.3390/math8020284
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Article

New Construction of Strongly Relatively Nonexpansive Sequences by Firmly Nonexpansive-Like Mappings

by
Hüseyin Işık
1,
Mohammad Reza Haddadi
2,*,
Vahid Parvaneh
3,
Choonkil Park
4,* and
Somayeh Kornokar
2
1
Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, 49250 Muş, Turkey
2
Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
3
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
4
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(2), 284; https://doi.org/10.3390/math8020284
Submission received: 19 November 2019 / Revised: 17 December 2019 / Accepted: 18 December 2019 / Published: 20 February 2020
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
Versions Notes

Abstract

In recent works, many authors generated strongly relatively nonexpansive sequences of mappings by the sequences of firmly nonexpansive-like mappings. In this paper, we introduce a new method for construction of strongly relatively nonexpansive sequences from firmly nonexpansive-like mappings.
Keywords: Banach space; firmly nonexpansive-like mapping; fixed point; mapping of type (r); mapping of type (sr) Banach space; firmly nonexpansive-like mapping; fixed point; mapping of type (r); mapping of type (sr)

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MDPI and ACS Style

Işık, H.; Haddadi, M.R.; Parvaneh, V.; Park, C.; Kornokar, S. New Construction of Strongly Relatively Nonexpansive Sequences by Firmly Nonexpansive-Like Mappings. Mathematics 2020, 8, 284. https://doi.org/10.3390/math8020284

AMA Style

Işık H, Haddadi MR, Parvaneh V, Park C, Kornokar S. New Construction of Strongly Relatively Nonexpansive Sequences by Firmly Nonexpansive-Like Mappings. Mathematics. 2020; 8(2):284. https://doi.org/10.3390/math8020284

Chicago/Turabian Style

Işık, Hüseyin, Mohammad Reza Haddadi, Vahid Parvaneh, Choonkil Park, and Somayeh Kornokar. 2020. "New Construction of Strongly Relatively Nonexpansive Sequences by Firmly Nonexpansive-Like Mappings" Mathematics 8, no. 2: 284. https://doi.org/10.3390/math8020284

APA Style

Işık, H., Haddadi, M. R., Parvaneh, V., Park, C., & Kornokar, S. (2020). New Construction of Strongly Relatively Nonexpansive Sequences by Firmly Nonexpansive-Like Mappings. Mathematics, 8(2), 284. https://doi.org/10.3390/math8020284

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