Research on Adjoint Kernelled Quasidifferential
Joint Authors
Xiao, Fu-Min
Pang, Li-Ping
Lin, Sida
Xia, Zun-quan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-05
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The quasidifferential of a quasidifferentiable function in the sense of Demyanov and Rubinov is not uniquely defined.
Xia proposed the notion of the kernelled quasidifferential, which is expected to be a representative for the equivalence class of quasidifferentials.
Although the kernelled quasidifferential is known to have good algebraic properties and geometric structure, it is still not very convenient for calculating the kernelled quasidifferentials of −f and minfi∣i∈a finite index set I, where f and fi are kernelled quasidifferentiable functions.
In this paper, the notion of adjoint kernelled quasidifferential, which is well-defined for −f and minfi∣i∈I, is employed as a representative of the equivalence class of quasidifferentials.
Some algebraic properties of the adjoint kernelled quasidifferential are given and the existence of the adjoint kernelled quasidifferential is explored by means of the minimal quasidifferential and the Demyanov difference of convex sets.
Under some condition, a formula of the adjoint kernelled quasidifferential is presented.
American Psychological Association (APA)
Lin, Sida& Xiao, Fu-Min& Xia, Zun-quan& Pang, Li-Ping. 2014. Research on Adjoint Kernelled Quasidifferential. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033538
Modern Language Association (MLA)
Lin, Sida…[et al.]. Research on Adjoint Kernelled Quasidifferential. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033538
American Medical Association (AMA)
Lin, Sida& Xiao, Fu-Min& Xia, Zun-quan& Pang, Li-Ping. Research on Adjoint Kernelled Quasidifferential. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033538
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033538