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Numerical Algorithms
Erschienen in: Numerical Algorithms 3/2020

05.02.2020 | Original Paper

Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems

verfasst von: Adisak Hanjing, Suthep Suantai

Erschienen in: Numerical Algorithms | Ausgabe 3/2020

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Abstract

Our contribution in this paper, we introduce and analyze two new hybrid algorithms by combining Mann iteration and inertial method for solving split fixed point problems of demicontractive mappings and equilibrium problems in a real Hilbert space. By using a new technique of choosing step size, our algorithms do not need any prior information on the operator norm. In fact, an inertial type algorithm was proposed in order to accelerate its convergence rate. We then prove weak and strong convergence of proposed methods under some control conditions. Moreover, some numerical experiments for image restoration problems and oligopolistic market equilibrium problems are also provided for supporting our main results.
Vorheriger Artikel Existence and approximation of fixed points of multivalued generalized α-nonexpansive mappings in Banach spaces
Nächster Artikel Discontinuous Galerkin isogeometric analysis for elliptic problems with discontinuous diffusion coefficients on surfaces

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Metadaten
Titel
Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems
verfasst von
Adisak Hanjing
Suthep Suantai
Publikationsdatum
05.02.2020
Verlag
Springer US
Erschienen in
Numerical Algorithms / Ausgabe 3/2020
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-019-00855-y

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