TY  - JOUR
T1  - A simple     proof for     Kazmi et al.'s  iterative scheme
AU  - Soori, Ebrahim
AU  - Agarwal, Ravi
PY  - 2022
DA  - March
DO  - 10.31197/atnaa.941403
JF  - Advances in the Theory of Nonlinear Analysis and its Application
JO  - ATNAA
PB  - Erdal KARAPINAR
WT  - DergiPark
SN  - 2587-2648
SP  - 28
EP  - 32
VL  - 6
IS  - 1
LA  - en
AB  - In this paper, a simple proof for the existence iterative scheme using two Hilbert spaces due to Kazmi et al.[K.R. Kazmi, R. Ali, M. Furkan, Hybrid iterative method for split monotone variational inclusion problemand hierarchical fixed point problem for a finite family of nonexpansive mappings, Numer. Algor., 2017] isprovided.
KW  - Weak convergence
KW  - Strongly  convergence
KW  - Hilbert space
CR  - [1] R.P. Agarwal, D. O'Regan and D.R. Sahu, Fixed point theory for Lipschitzian-type mappings with applications, in:
Topological Fixed Point Theory and its Applications, vol. 6, Springer, New York, 2009.
CR  - [2] C.E. Chidume, O.M. Romanus and U.V. Nnyaba, An iterative algorithm for solving split equality fixed point problems for
a class of nonexpansive-type mappings in Banach spaces, Numer Algor, 82 (2019), 987-1007.
CR  - [3] Z. Jouymandi, F. Moradlou, Extragradient Methods for Solving Equilibrium Problems, Variational Inequalities, and Fixed
Point Problems, Numer. Funct .Anal. Optim., 38:11, (2017), 1391-1409.
CR  - [4] Z. Jouymandi and F. Moradlou, Extragradient methods for split feasibility problems and generalized equilibrium problems
in Banach spaces, Math. Methods Appl. Sci., (2017), DOI: 10.1002/mma.4647.
CR  - [5] K.R. Kazmi, R. Ali, M. Furkan, Hybrid iterative method for split monotone variational inclusion problem and hierarchical
fixed point problem for a finite family of nonexpansive mappings, Numer Algor, (2017), https://doi.org/10.1007/s11075-
017-0448-0.
CR  - [6] A.E. Ofem and D.I. Igbokwe, A New Faster Four step Iterative Algorithm for Suzuki Generalized Nonexpansive Mappings
with an Application, Adv. Theory Nonlinear Anal. Appl. 5 (2021), 482-506.
CR  - [7] K. Shimoji and W. Takahashi, Strong convergence to common fixed points of infinite nonexpansive mappings and applications, Taiwanese J. Math., 5 (2001),387-404.
CR  - [8] L. Wangwe and S. Kumara, Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range
property in G-metric space, Results in Nonlinear Anal. 4 (2021), 87-104.
UR  - https://doi.org/10.31197/atnaa.941403
L1  - https://dergipark.org.tr/tr/download/article-file/1783390
ER  -