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... NONEXPANSIVE MAPPINGS
IN HILBERT SPACE
B. E. RHO ADES
Received 10 September 2003
Given a finite family of nonexpansive self -mappings of a Hilbert space, a particular qua-
dratic functional, and a strongly ... com-
mutativity.
Finding an optimal point in the intersection F of the fixed point sets of a family of
nonexpansive maps is one that occurs freque...
... of
Single-valued and Multivalued Nonexpansive
Mappings in Banach Spaces
K. Sokhuma
1
and A. Kaewkhao
2
1
Department of Mathematics, Faculty of Science, Burapha University, Chonburi 20131, Thailand
2
Department ... point for a multivalued mapping T if x ∈ Tx.
We use the notation FixT standing for the set of fixed points of a mapping T and
Fixt ∩ FixT standing f...
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324–353, 1974.
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vol. 65 of CBMS Regional Conference Series in Mathematics, A merican Mathematical Society,
Washington, DC, USA, 1986.
23 A. Ambrosetti...
... asymptotically nonexpansive and nonexpansive maps are asymptotically
pointwise nonexpansive maps, all the so far obtained results also apply for any of these
mappings.
A set-valued map T : C → ... ε-semicontinuous maps under different conditions of commu-
tativity.
1. Introduction
Fixed point theory for nonexpansive and related mappings has played a fundamental role
i...
... Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, vol. 5 of Notes and Reports in
Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988.
Advances in Difference ... “Eigenvalue problems for nonlinear differential equations on a measure
chain,” Journal of Mathematical Analysis and Applications, vol. 245, no. 2, pp. 547–559, 2000.
18 V. Lak...
... Calculus of Variations and Optimal Control, Springer, New York,
NY, USA, 2006.
7 A. D. Ioffe and A. J. Zaslavski, “Variational principles and well-posedness in optimization and calculus
of variations,” ... with
functional constraints,” Journal of Inequalities and Applications, vol. 2008, Article ID 657329, 14 pages,
2008.
4 J P. Aubin and I. Ekeland, Applied Nonlinear Analysis,...
... and
Quasi -Nonexpansive Mappings in Hyperspaces
Zeqing Liu,
1
Jeong Sheok Ume,
2
and Shin Min Kang
3
1
Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, China
2
Department ... points of these mappings, respectively. Ishikawa 7 established that the
Mann iteration methods can be used to approximate fixed points of nonexpansive mappings
in Ban...
... University, Jiangsu Nanjing 210097, China
Email address: zdyang
jin@263.net
Bing Xu: Institute of Mathematics, School of Mathematics and Computer Sciences,
Nanjing Normal University, Jiangsu Nanjing 210097, ... class of sublinear elliptic equations,” Nonlinear
Analysis, vol. 58, no. 1-2, pp. 205–218, 2004.
Zuodong Yang: Institute of Mathematics, School of Mathematics and Computer Sc...
... originally
available in the ATDCA algorithm. The parallel versions
are quantitatively and comparatively analyzed (in terms of
target detection accuracy and parallel performance) in the
framework of a real ... hyperspectral sensors provide image data containing rich information in both the spatial and the spectral domain,
and this information can be used to address detection tasks...