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

Hüseyin Işık, Mohammad Reza Haddadi, Vahid Parvaneh, Choonkil Park and Somayeh Kornokar
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Hüseyin Işık: Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, 49250 Muş, Turkey
Mohammad Reza Haddadi: Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
Vahid Parvaneh: Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
Choonkil Park: Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
Somayeh Kornokar: Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

Mathematics, 2020, vol. 8, issue 2, 1-7

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 ) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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