Multi-inertial parallel hybrid projection algorithm for generalized split null point problems

2021 ◽  
Author(s):  
Yasir Arfat ◽  
Poom Kumam ◽  
Muhammad Aqeel Ahmad Khan ◽  
Olaniyi S. Iyiola
Keyword(s):  
Null Point ◽  
Projection Algorithm ◽  
Parallel Hybrid ◽  
Hybrid Projection Algorithm

scholarly journals Hybrid Projection Algorithm for a New General System of Variational Inequalities in Hilbert Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-22
Author(s):  
S. Imnang
Keyword(s):  
Hilbert Space ◽  
Variational Inequalities ◽  
Nonexpansive Mapping ◽  
Real Hilbert Space ◽  
General System ◽  
Projection Algorithm ◽  
Common Element ◽  
System Of Variational Inequalities ◽  
Demiclosedness Principle ◽  
Hybrid Projection Algorithm

A new general system of variational inequalities in a real Hilbert space is introduced and studied. The solution of this system is shown to be a fixed point of a nonexpansive mapping. We also introduce a hybrid projection algorithm for finding a common element of the set of solutions of a new general system of variational inequalities, the set of solutions of a mixed equilibrium problem, and the set of fixed points of a nonexpansive mapping in a real Hilbert space. Several strong convergence theorems of the proposed hybrid projection algorithm are established by using the demiclosedness principle. Our results extend and improve recent results announced by many others.

scholarly journals A New Hybrid Algorithm forλ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Xin-dong Liu ◽  
Shih-sen Chang
Keyword(s):  
Banach Spaces ◽  
Hybrid Algorithm ◽  
Metric Projection ◽  
Projection Algorithm ◽  
Strong Convergence Theorem ◽  
Uniformly Convex ◽  
Uniformly Smooth ◽  
Hybrid Projection Algorithm ◽  
Uniformly Smooth Banach Spaces ◽  
Asymptotically Pseudocontractive Mapping

A new hybrid projection algorithm is considered for aλ-strict asymptotically pseudocontractive mapping. Using the metric projection, a strong convergence theorem is obtained in a uniformly convex and 2-uniformly smooth Banach spaces. The result presented in this paper mainly improves and extends the corresponding results of Matsushita and Takahashi (2008), Dehghan (2011) Kang and Wang (2011), and many others.

Convergence of a Hybrid Projection Algorithm in Banach Spaces

2008 ◽  
Vol 108 (2) ◽  
pp. 299-313 ◽  
Author(s):  
X. L. Qin ◽  
Y. J. Cho ◽  
S. M. Kang ◽  
H. Y. Zhou
Keyword(s):  
Banach Spaces ◽  
Projection Algorithm ◽  
Hybrid Projection Algorithm
Sign in / Sign up

Export Citation Format

Share Document