Geodesic
The Split Common Fixed Point Problem and the Shrinking Projection Method in Banach Spaces
Journal of convex analysis, Tome 24 (2017) no. 3, pp. 1015-1028
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We consider the split common fixed point problem in Banach spaces. Using the shrinking projection method, we prove a strong convergence theorem for finding a solution of the common fixed point problem in Banach spaces. Using this result, we get well-known and new results which are connected with the split feasibility problem and the split common null point problem in Banach spaces.
Classification : 47H05, 47H09
Mots-clés : Split common fixed point problem, fixed point, metric projection, metric resolvent, shrinking projection method, duality mapping 
@article{JCA_2017_24_3_JCA_2017_24_3_a16,
     author = {W. Takahashi},
     title = {The {Split} {Common} {Fixed} {Point} {Problem} and the {Shrinking} {Projection} {Method} in {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {1015--1028},
     year = {2017},
     volume = {24},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a16/}
}
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W. Takahashi. The Split Common Fixed Point Problem and the Shrinking Projection Method in Banach Spaces. Journal of convex analysis, Tome 24 (2017) no. 3, pp. 1015-1028. http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a16/