Geodesic
Strong Convergence Theorems for an Infinite Family of Demimetric Mappings in a Hilbert Space
Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1357-1373
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Using the idea of Halpern iteration, we prove a strong convergence theorem for finding a common fixed point of an infinite family of demimetric mappings in a Hilbert space. Using this result, we obtain well-known and new strong convergence theorems in a Hilbert space.
Classification : 47H05, 47H09
Mots-clés : Common fixed point, demimetric mapping, metric projection, inverse strongly monotone mapping, Halpern iteration 
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     author = {H. Komiya and W. Takahashi},
     title = {Strong {Convergence} {Theorems} for an {Infinite} {Family} of {Demimetric} {Mappings} in a {Hilbert} {Space}},
     journal = {Journal of convex analysis},
     pages = {1357--1373},
     year = {2017},
     volume = {24},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a15/}
}
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H. Komiya; W. Takahashi. Strong Convergence Theorems for an Infinite Family of Demimetric Mappings in a Hilbert Space. Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1357-1373. http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a15/