scholarly journals Fixed point algorithms for split feasibility problems

2019 ◽  
Vol 20 (1) ◽  
pp. 245-254 ◽  
Author(s):  
A.E. Al-Mazrooei ◽  
◽  
A. Latif ◽  
X. Qin ◽  
J.C. Yao ◽  
...  
Keyword(s):  
Fixed Point ◽  
Split Feasibility Problems ◽  
Fixed Point Algorithms ◽  
Split Feasibility

scholarly journals ALGORITHMIC AND ANALYTICAL APPROACHES TO THE SPLIT FEASIBILITY PROBLEMS AND FIXED POINT PROBLEMS

2013 ◽  
Vol 17 (5) ◽  
pp. 1839-1853 ◽  
Author(s):  
Yeong-Cheng Liou ◽  
Li-Jun Zhu ◽  
Yonghong Yao ◽  
Chiuh-Cheng Chyu
Keyword(s):  
Fixed Point ◽  
Fixed Point Problems ◽  
Split Feasibility Problems ◽  
Analytical Approaches ◽  
Split Feasibility

scholarly journals The common solutions of the split feasibility problems and fixed point problems

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Abdelouahed Hamdi ◽  
Yeong-Cheng Liou ◽  
Yonghong Yao ◽  
Chongyang Luo
Keyword(s):  
Fixed Point ◽  
Fixed Point Problems ◽  
Split Feasibility Problems ◽  
The Common ◽  
Split Feasibility

scholarly journals An iterative method for solving multiple-set split feasibility problems in Banach spaces

2020 ◽  
Vol 36 (1) ◽  
pp. 1-13
Author(s):  
SULIMAN AL-HOMIDAN ◽  
BASHIR ALI ◽  
YUSUF I. SULEIMAN
Keyword(s):  
Fixed Point ◽  
Iterative Method ◽  
Banach Spaces ◽  
Nonexpansive Mappings ◽  
Convergence Result ◽  
Uniformly Convex ◽  
Split Feasibility Problems ◽  
Uniformly Smooth ◽  
Convex Problem ◽  
Split Feasibility

"In this paper, we study generalized multiple-set split feasibility problems (in short, GMSSFP) in the frame workof p-uniformly convex real Banach spaces which are also uniformly smooth. We construct an iterative algo-rithm which is free from an operator norm and prove its strong convergence to a solution of GMSSFP, thatis, a solution of convex problem and a common fixed point of a countable family of Bregman asymptoticallyquasi-nonexpansive mappings without requirement for semi-compactness on the mappings. We illustrate ouralgorithm and convergence result by a numerical example. "

scholarly journals Iterative methods for solving split feasibility problems and fixed point problems in Banach spaces

Filomat ◽  
2019 ◽  
Vol 33 (16) ◽  
pp. 5345-5353
Author(s):  
Min Liu ◽  
Shih-Sen Changb ◽  
Ping Zuo ◽  
Xiaorong Li
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Strong Convergence ◽  
Recent Result ◽  
Banach Spaces ◽  
Hilbert Spaces ◽  
Proximal Point Algorithm ◽  
Proximal Point ◽  
Split Feasibility Problems ◽  
Split Feasibility

In this paper, we consider a class of split feasibility problems in Banach space. By using shrinking projective method and the modified proximal point algorithm, we propose an iterative algorithm. Under suitable conditions some strong convergence theorems are proved. Our results extend a recent result of Takahashi-Xu-Yao (Set-Valued Var. Anal. 23, 205-221 (2015)) from Hilbert spaces to Banach spaces. Moreover, the method of proof is also different.

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