An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework
A general nonlinear framework for an Ishikawa-hybrid proximal point algorithm using the notion of (A,η)-accretive is developed. Convergence analysis for the algorithm of solving a nonlinear set-valued inclusions problem and existence analysis of solution for the nonlinear set-valued inclu...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
SpringerOpen
2010
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/491905e86d55464db596f38987165953 |
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| Sumario: | A general nonlinear framework for an Ishikawa-hybrid proximal point algorithm using the notion of (A,η)-accretive is developed. Convergence analysis for the algorithm of solving a nonlinear set-valued inclusions problem and existence analysis of solution for the nonlinear set-valued inclusions problem are explored along with some results on the resolvent operator corresponding to (A,η)-accretive mapping due to Lan-Cho-Verma in Banach space. The result that sequence {xn} generated by the algorithm converges linearly to a solution of the nonlinear set-valued inclusions problem with the convergence rate θ is proved. |
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