ATTRACTIVE AND MEAN CONVERGENCE THEOREMS FOR TWO COMMUTATIVE NONLINEAR MAPPINGS IN BANACH SPACES

TitleATTRACTIVE AND MEAN CONVERGENCE THEOREMS FOR TWO COMMUTATIVE NONLINEAR MAPPINGS IN BANACH SPACES
Publication TypeJournal Article
Year of Publication2017
AuthorsTAKAHASHI WATARU, WEN CHING-FENG, YAO JEN-CHIH
JournalDynamic Systems and Applications
Volume26
Issue2
Start Page327
Pagination19
Date Published2017
ISSN1056-2176
AMS Subject Classification47H05, 47H09
Abstract

In this paper, using the class of 2-generalized nonspreading mappings which was defined by [29] in a Banach space and covers 2-generalized hybrid mappings in a Hilbert space, we prove an attractive point theorem in a Banach space. Then we prove a mean convergence theorem of Baillon’s type [2] without convexity for commutative 2-generalized nonspreading mappings in a Banach space.
PDFhttps://acadsol.eu/dsa/articles/26/2/7.pdf
DOI10.12732/dsa.v26i2.7
Refereed DesignationRefereed