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Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings
Author(s) -
Bunlue Nuttawut,
Suantai Suthep
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5227
Subject(s) - mathematics , hilbert space , convergence (economics) , class (philosophy) , algorithm , point (geometry) , fixed point , discrete mathematics , pure mathematics , mathematical analysis , computer science , geometry , artificial intelligence , economics , economic growth
In this paper, we first introduce a new class of generalized nonself nonexpansive mappings, called C‐Berinde nonexpansive mappings, and study common best proximity point of two mappings in this class. We propose two hybrid algorithms for finding common best proximity points of two best proximally nonexpansive mappings for which one of them is C‐Berinde nonself nonexpansive mapping. Strong convergence analysis of the proposed methods are discussed in a real Hilbert space. Moreover, we also give a numerical example to support our main results.