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Duality Fixed Point and Zero Point Theorems and Applications
Joint Authors
Cheng, Qingqing
Su, Yongfu
Zhang, Jingling
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The following main results have been given.
(1) Let E be a p-uniformly convex Banach space and let T:E→E* be a (p-1)-L-Lipschitz mapping with condition 0<(pL/c2)1/(p-1)<1.
Then T has a unique generalized duality fixed point x*∈E and (2) let E be a p-uniformly convex Banach space and let T:E→E* be a q-α-inverse strongly monotone mapping with conditions 1/p+1/q=1, 0<(q/(q-1)c2)q-1<α.
Then T has a unique generalized duality fixed point x*∈E.
(3) Let E be a 2-uniformly smooth and uniformly convex Banach space with uniformly convex constant c and uniformly smooth constant b and let T:E→E* be a L-lipschitz mapping with condition 0<2b/c2<1.
Then T has a unique zero point x*.
These main results can be used for solving the relative variational inequalities and optimal problems and operator equations.
American Psychological Association (APA)
Cheng, Qingqing& Su, Yongfu& Zhang, Jingling. 2012. Duality Fixed Point and Zero Point Theorems and Applications. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-468410
Modern Language Association (MLA)
Cheng, Qingqing…[et al.]. Duality Fixed Point and Zero Point Theorems and Applications. Abstract and Applied Analysis No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-468410
American Medical Association (AMA)
Cheng, Qingqing& Su, Yongfu& Zhang, Jingling. Duality Fixed Point and Zero Point Theorems and Applications. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-468410
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468410