Open AccessThe convergence of Iteration Scheme to Fixed Points in Modular Spaces
Author(s) -
Meena Fouad Abduljabbar,
Salwa Salman Abed
Publication year - 2019
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2019.60.10.13
Subject(s) - fixed point , modular design , mathematics , convergence (economics) , contraction (grammar) , regular polygon , fixed point iteration , scheme (mathematics) , limit (mathematics) , mathematical optimization , computer science , mathematical analysis , geometry , medicine , economics , economic growth , operating system
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.