Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1399
7
1
gregorian
2020
10
1
15
2
online
1
fulltext
en
Existence and Iterative Approximations of Solution for Generalized Yosida Approximation Operator
عمومى
General
پژوهشي
Research paper
In this paper, we introduce and study a generalized Yosida approximation operator associated to H(·, ·)-co-accretive operator and discuss some of its properties. Using the concept of graph convergence and resolvent operator, we establish the convergence for generalized Yosida approximation operator. Also, we show an equivalence between graph convergence for H(·, ·)-co-accretive operator and generalized Yosida approximation operator. We also furnish an illustrative example to demonstrate our results. Furthermore, we suggest an iterative algorithm to solve a Yosida inclusion problem under some mild conditions in q-uniformly smooth Banach space and discuss the convergence and uniqueness of the solution.
Graph convergence, Resolvent operator, Iterative algorithm, Yosida approximation operator, Yosida inclusion problem
147
161
http://ijmsi.ir/browse.php?a_code=A-10-2918-1&slc_lang=en&sid=1
M.
Akram
`10031947532846007458`

10031947532846007458
Yes
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 107, KSA