On the steepest descent approximation method for the zeros of generalized accretive operators
| Autor: | Siniša N. Ješić, Jeong Sheok Ume, Marina M. Milovanović, Ljubomir Ćirić |
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| Rok vydání: | 2008 |
| Předmět: |
Applied Mathematics
010102 general mathematics Mathematical analysis Zero (complex analysis) Banach space 01 natural sciences 010101 applied mathematics Nonlinear system Operator (computer programming) Approximation process Convergence (routing) Method of steepest descent Applied mathematics 0101 mathematics Gradient descent Analysis Mathematics |
| Zdroj: | Nonlinear Analysis: Theory, Methods & Applications. 69:763-769 |
| ISSN: | 0362-546X |
| DOI: | 10.1016/j.na.2007.06.021 |
| Popis: | In this paper we present certain characteristic conditions for the convergence of the generalized steepest descent approximation process to a zero of a generalized strongly accretive operator, defined on a uniformly smooth Banach space. Our study is based on an important result of Reich [S. Reich, An iterative procedure for constructing zeros of accretive sets in Banach spaces, Nonlinear Anal. 2 (1978) 85–92] and given results extend and improve some of the earlier results which include the steepest descent approximation method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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