Shrinking Projection Methods for Maximal Monotone Operators and Quasi-nonexpansive Mappings
In this paper, we consider a new shrinking projection method for finding common elements of the set of fixed points of a quasi-φ-nonexpansive mapping and the set of zero points of a maximal monotone operator. We establish a strong convergence theorem of common elements by using new analysis techniqu...
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Published in | 2010 International Conference on Computational Aspects of Social Networks pp. 247 - 250 |
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Main Authors | , |
Format | Conference Proceeding |
Language | English |
Published |
IEEE
01.09.2010
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Abstract | In this paper, we consider a new shrinking projection method for finding common elements of the set of fixed points of a quasi-φ-nonexpansive mapping and the set of zero points of a maximal monotone operator. We establish a strong convergence theorem of common elements by using new analysis techniques in the setting of reflexive, strictly convex, smooth Banach spaces with the property (K). As an application, the problem of finding a minimizer of a convex function is considered. |
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AbstractList | In this paper, we consider a new shrinking projection method for finding common elements of the set of fixed points of a quasi-φ-nonexpansive mapping and the set of zero points of a maximal monotone operator. We establish a strong convergence theorem of common elements by using new analysis techniques in the setting of reflexive, strictly convex, smooth Banach spaces with the property (K). As an application, the problem of finding a minimizer of a convex function is considered. |
Author | Lerong Ma Xinghui Gao |
Author_xml | – sequence: 1 surname: Xinghui Gao fullname: Xinghui Gao email: yadxgaoxinghui@163.com organization: Coll. of Math. & Comput. Sci., Yanan Univ., Yanan, China – sequence: 2 surname: Lerong Ma fullname: Lerong Ma email: malerong2008@163.com organization: Coll. of Math. & Comput. Sci., Yanan Univ., Yanan, China |
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Snippet | In this paper, we consider a new shrinking projection method for finding common elements of the set of fixed points of a quasi-φ-nonexpansive mapping and the... |
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StartPage | 247 |
SubjectTerms | Artificial neural networks Convergence Convex functions Mathematical model maximal monotone operator Optical wavelength conversion quasi-f-nonexpansive mapping shrinking projection methods Social network services System-on-a-chip the property(K) |
Title | Shrinking Projection Methods for Maximal Monotone Operators and Quasi-nonexpansive Mappings |
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