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2015 | OriginalPaper | Chapter

5. An Iterative Algorithm for Split Common Fixed-Point Problem for Demicontractive Mappings

Authors : Yazheng Dang, Fanwen Meng, Jie Sun

Published in: Optimization Methods, Theory and Applications

Publisher: Springer Berlin Heidelberg

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Abstract

Inspired by the inertial proximal algorithms for finding a zero of a maximal monotone operator, we propose an inertial iteration algorithm for solving the split common fixed point problem for demicontractive mappings. We prove the asymptotical convergence of the algorithm under certain mild conditions. The results extend the result of Dang and Gao (Inverse Probl, 27:015007, 2011) and Moudafi (Inverse Probl 26:055007, 6pp, 2010. doi:10.1088/0266-5611/26/5/ 055007).

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previous chapter Existence of Solutions for Variational-Like Hemivariational Inequalities Involving Lower Semicontinuous Maps
next chapter On Constraint Qualifications for Multiobjective Optimization Problems with Vanishing Constraints
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Metadata
Title
An Iterative Algorithm for Split Common Fixed-Point Problem for Demicontractive Mappings
Authors
Yazheng Dang
Fanwen Meng
Jie Sun
Copyright Year
2015
Publisher
Springer Berlin Heidelberg
Book
Optimization Methods, Theory and Applications

Print ISBN: 978-3-662-47043-5

Electronic ISBN: 978-3-662-47044-2

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-662-47044-2_5