Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications
| Autor: | Giuseppe Marino, Daya Ram Sahu, Vittorio Colao |
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| Rok vydání: | 2012 |
| Předmět: |
Discrete mathematics
Mathematics::Functional Analysis Control and Optimization Iterative method Applied Mathematics Banach space Management Science and Operations Research Fixed point Computer Science Applications Mathematics::Logic Convex optimization Convergence (routing) Countable set Uncountable set Equilibrium problem Mathematics |
| Zdroj: | Journal of Global Optimization. 56:1631-1651 |
| ISSN: | 1573-2916 0925-5001 |
| DOI: | 10.1007/s10898-012-9929-9 |
| Popis: | An implicit algorithm for finding common fixed points of an uncountable family of nonexpansive mappings is proposed. A new inexact iteration method is also proposed for countable family of nonexpansive mappings. Several strong convergence theorems based on our main results are established in the setting of Banach spaces. Both algorithms are applied for finding zeros of accretive operators and for solving convex minimization, split feasibility and equilibrium problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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