Geodesic
The Split Common Fixed Point Problem by the Hybrid Method for Families of New Demimetric Mappings in Banach Spaces
Journal of convex analysis, Tome 27 (2020) no. 2, pp. 623-644
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We consider the split common fixed point problem for families of mappings in Banach spaces. Using the hybrid method, we prove two strong convergence theorems of finding a solution of the split common fixed point problem for families of generalized demimetric mappings in Banach spaces. We also apply these results to obtain well-known and new results for the split common fixed point problem in Banach spaces.
Classification : 47H05, 47H09
Mots-clés : Split common fixed point problem, metric projection, metric resolvent, generalized demi-metric mapping, hybrid method 
@article{JCA_2020_27_2_JCA_2020_27_2_a10,
     author = {W. Takahashi and C.-F. Wen and J.-C. Yao},
     title = {The {Split} {Common} {Fixed} {Point} {Problem} by the {Hybrid} {Method} for {Families} of {New} {Demimetric} {Mappings} in {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {623--644},
     year = {2020},
     volume = {27},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a10/}
}
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W. Takahashi; C.-F. Wen; J.-C. Yao. The Split Common Fixed Point Problem by the Hybrid Method for Families of New Demimetric Mappings in Banach Spaces. Journal of convex analysis, Tome 27 (2020) no. 2, pp. 623-644. http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a10/