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The convergence of Iteration Scheme to Fixed Points in Modular Spaces.
- Source :
-
Iraqi Journal of Science . 2019, Vol. 60 Issue 10, p2196-2201. 6p. - Publication Year :
- 2019
-
Abstract
- The aim of this paper is to study the convergence of an iteration scheme for multi-valued mappings which defined on a subset of a complete convex real modular. There are two main results, in the first result, we show that the convergence with respect to a multi-valued contraction mapping to a fixed point. And, in the second result, we deal with two different schemes for two multivalued mappings (one of them is a contraction and other has a fixed point) and then we show that the limit point of these two schemes is the same. Moreover, this limit will be the common fixed point the two mappings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FIXED point theory
*SET-valued maps
*MODULAR design
*ORLICZ spaces
*VECTOR spaces
Subjects
Details
- Language :
- English
- ISSN :
- 00672904
- Volume :
- 60
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Iraqi Journal of Science
- Publication Type :
- Academic Journal
- Accession number :
- 139679925
- Full Text :
- https://doi.org/10.24996/ijs.2019.60.10.13