Results 181 to 190 of about 1,510,217 (219)
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General -monotone operators and perturbed iterations for nonlinear set-valued relaxed cocoercive operator inclusion problems

Applied Mathematics and Computation, 2009
The article deals with some inclusion problems including general \(A\)-monotone operators \(M\). Let \({\mathcal B}\) be a Banach space with dual space \({\mathcal B}^*\), \(A: \;{\mathcal B} \to {\mathcal B}^*\) be a linear or nonlinear operator; a set-valued operator \(M: \;{\mathcal B} \to 2^{\mathcal B}\) is called (by the authors) general \(A ...
Lan, Heng-You, Cai, Le-Cai, Liu, Zi-Shan
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Set-valued extension of operators via Steiner selections(II)—Applications to approximation

Applied Mathematics and Mechanics, 2002
In part I [ibid. 23, 568--579 (2002; Zbl 1052.47024), see the preceding review], the authors proposed a method to extend an operator \(T\) defined in a space of continuous functions to an operator \(T^*\) defined in a space of continuous set-valued functions.
Terán, Pedro, López-Díaz, Miguel
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The generalized -projection operator and set-valued variational inequalities in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009
In [Bull. Aust. Math. Soc. 73, No. 2, 307--317 (2006; Zbl 1104.47053)], the authors introduced the following notion of generalized \(f\)-projection operator: Let \(B\) be a Banach space and \(B^{*}\) be its dual. Let \(K\) be a nonempty, closed and convex subset of \(B\).
Wu, Ke-Qing, Huang, Nan-Jing
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Point-Based Set-Valued Approximations, C -Differential Operators and Applications

Optimization, 2003
In this article, we investigate the point-based set-valued approximation [H. Xu (1999). Set-valued approximation and Newton's methods. Mathematical Programming , 84 , 401-420.] and the C -differential operator [L. Qi (1996). C -Differential operators, C -differentiability and generalized Newton methods, Applied Mathematics Report, AMR96/5, School of ...
openaire   +2 more sources

Proximal Methods for Variational Inequalities with Set-Valued Monotone Operators

2001
A general approach to analyse convergence and rate of convergence of the proximal-like methods for variational inequalities with set-valued maximal monotone operators is developed. It is oriented to methods coupling successive approximation of the variational inequality with the proximal point algorithm as well as to related methods using ...
A. Kaplan, R. Tichatschke
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

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