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Erschienen in:
Statistics of Critical Avalanches in Vertical Nanopillar Arrays Kapitel lesen Erstes Kapitel lesen

2014 | OriginalPaper | Buchkapitel

Modified Iterative Scheme for Multivalued Nonexpansive Mappings, Equilibrium Problems and Fixed Point Problems in Banach Spaces

verfasst von : Uamporn Witthayarat, Kriengsak Wattanawitoon, Poom Kumam

Erschienen in: Transactions on Engineering Technologies

Verlag: Springer Netherlands

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Abstract

In this research, we modified iterative scheme for finding common element of the set of fixed point of total quasi-\(\phi \)-asymptotically nonexpansive multivalued mappings, the set of solution of an equilibrium problem and the set of fixed point of relatively nonexpansive mappings in Banach spaces. In addition, the strong convergence for approximating common solution of our mentioned problems is proved under some mild conditions. Our results extend and improve some recent results announced by some authors. We divide our research details into three main sections including Introduction, Preliminaries, Main Results. First, we introduce the backgrounds and motivations of this research and follow with the second section, Preliminaries, which mention about the tools that will be needed to prove our main results. In the last section, Main Results, we propose the theorem and corollary which is the most important part in our research.

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Vorheriges Kapitel A Finite Difference Method for Electrostatics with Curved Boundaries
Nächstes Kapitel Counting the Number of Multi-player Partizan Cold Games Born by Day d
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Metadaten
Titel
Modified Iterative Scheme for Multivalued Nonexpansive Mappings, Equilibrium Problems and Fixed Point Problems in Banach Spaces
verfasst von
Uamporn Witthayarat
Kriengsak Wattanawitoon
Poom Kumam
Copyright-Jahr
2014
Verlag
Springer Netherlands
Buch
Transactions on Engineering Technologies

Print ISBN: 978-94-007-7683-8

Electronic ISBN: 978-94-007-7684-5

Copyright-Jahr: 2014

DOI
https://doi.org/10.1007/978-94-007-7684-5_20

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