Nonlinear relaxed cocoercive variational inclusions involving ( A, η)-accretive mappings in banach spaces
In this paper, we introduce a new concept of ( A, η)-accretive mappings, which generalizes the existing monotone or accretive operators. We study some properties of ( A, η)-accretive mappings and define resolvent operators associated with ( A, η)-accretive mappings. By using the new resolvent operat...
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Veröffentlicht in: | Computers & mathematics with applications (1987) 2006-05, Vol.51 (9), p.1529-1538 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper, we introduce a new concept of (
A, η)-accretive mappings, which generalizes the existing monotone or accretive operators. We study some properties of (
A, η)-accretive mappings and define resolvent operators associated with (
A, η)-accretive mappings. By using the new resolvent operator technique, we also construct a new perturbed iterative algorithm with mixed errors for a class of nonlinear relaxed Cocoercive variational inclusions involving (
A, η)-accretive mappings and study applications of (
A, η)-accretive mappings to the approximation-solvability of this class of nonlinear relaxed Cocoercive variational inclusions in
q-uniformly smooth Banach spaces. Our results improve and generalize the corresponding results of recent works. |
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ISSN: | 0898-1221 1873-7668 |
DOI: | 10.1016/j.camwa.2005.11.036 |