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2014 Generalized split feasibility problem governed by widely more generalized hybrid mappings in Hilbert spaces
Mayumi Hojo, Wataru Takahashi
Nihonkai Math. J. 25(2): 127-146 (2014).

Abstract

Generalized split feasibility problem governed by a widely more generalized hybrid mapping is studied. In particular, strong convergence of this algorithm is proved. As tools, resolvents of maximal monotone operators are technically maneuvered to facilitate the argument of the proof to the main result. Applications to iteration methods for various nonlinear mappings and to equilibrium problem are included.

Citation

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Mayumi Hojo. Wataru Takahashi. "Generalized split feasibility problem governed by widely more generalized hybrid mappings in Hilbert spaces." Nihonkai Math. J. 25 (2) 127 - 146, 2014.

Information

Published: 2014
First available in Project Euclid: 26 March 2015

zbMATH: 06431055
MathSciNet: MR3326632

Subjects:
Primary: 47H05, 47H09, 47H20

Rights: Copyright © 2014 Niigata University, Department of Mathematics

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Vol.25 • No. 2 • 2014
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