An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces

2015 ◽  
Vol 72 (4) ◽  
pp. 835-864 ◽  
Author(s):  
Y. Shehu ◽  
O. S. Iyiola ◽  
C. D. Enyi
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Iterative Algorithm ◽  
Fixed Point Problems ◽  
Split Feasibility Problems ◽  
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. "

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