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A New Nonsmooth Bundle-Type Approach for a Class of Functional Equations in Hilbert Spaces
Joint Authors
Shen, Jie
Guo, Fang-Fang
Tian, Miao
Zhang, Jun-Nan
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A new bundle-type approach for solving a class of functional equations is presented by combining bundle idea for nonsmooth optimization with common iterative process for functional equations.
Our strategy is to approximate the nonsmooth function in functional equation by a sequence of convex piecewise linear functions, as in the bundle method; this makes the problem more tractable and reduces the difficulty of implementation of method.
We only require the piecewise linear convex approximate functions, rather than the actual function, to satisfy the uniform boundedness condition with respect to one variable at stability centers.
One example is given to demonstrate the application of the proposed method.
American Psychological Association (APA)
Shen, Jie& Tian, Miao& Guo, Fang-Fang& Zhang, Jun-Nan. 2017. A New Nonsmooth Bundle-Type Approach for a Class of Functional Equations in Hilbert Spaces. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1176417
Modern Language Association (MLA)
Shen, Jie…[et al.]. A New Nonsmooth Bundle-Type Approach for a Class of Functional Equations in Hilbert Spaces. Journal of Function Spaces No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1176417
American Medical Association (AMA)
Shen, Jie& Tian, Miao& Guo, Fang-Fang& Zhang, Jun-Nan. A New Nonsmooth Bundle-Type Approach for a Class of Functional Equations in Hilbert Spaces. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1176417
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176417