RT - Journal Article
T1 - Existence and Iterative Approximations of Solution for Generalized Yosida Approximation Operator
JF - IJMSI
YR - 2020
JO - IJMSI
VO - 15
IS - 2
UR - http://ijmsi.ir/article-1-1150-en.html
SP - 147
EP - 161
K1 - Graph convergence
K1 - Resolvent operator
K1 - Iterative algorithm
K1 - Yosida approximation operator
K1 - Yosida inclusion problem
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-1150-en.html
M3
ER -