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Iterative Approximation of Endpoints for Multivalued Mappings in Banach Spaces.
- Source :
-
Journal of Function Spaces . 1/22/2020, p1-6. 6p. - Publication Year :
- 2020
-
Abstract
- The purpose of this paper is to introduce the modified Agarwal-O'Regan-Sahu iteration process (S-iteration) for finding endpoints of multivalued nonexpansive mappings in the setting of Banach spaces. Under suitable conditions, some weak and strong convergence results of the iterative sequence generated by the proposed process are proved. Our results especially improve and unify some recent results of Panyanak (J. Fixed Point Theory Appl. (2018)). At the end of the paper, we offer an example to illustrate the main results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*SET-valued maps
*FIXED point theory
*NONEXPANSIVE mappings
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 141399125
- Full Text :
- https://doi.org/10.1155/2020/2179059