Results 21 to 30 of about 216 (132)
Error Bound for Conic Inequality in Hilbert Spaces
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We consider error bound issue for conic inequalities in Hilbert spaces. In terms of proximal subdifferentials of vector‐valued functions, we provide sufficient conditions for the existence of a local error bound for a conic inequality. In the Hilbert space case, our result improves and extends some existing results on local error bounds.
Jiangxing Zhu +3 more
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Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The concept of sharp efficient solution for vector equilibrium problems on Banach spaces is proposed. Moreover, the Fermat rules for local efficient solutions of vector equilibrium problems are extended to the sharp efficient solutions by means of the Clarke generalized differentiation and the normal cone.
Si-Huan Li +4 more
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ON TRIPLE CODERIVATIONS OF CORINGS
International Electronic Journal of Algebra, 2015 We introduce the notion of a triple coderivation, which is a triplet of maps from a (C, C)-bicomodule to a coring C satisfying a certain condition closely related to the definition of a coderivation. We determine the structure of the module consisting of all triple coderivations.
Komatsu, Hiroaki, Nakajima, Atsushi
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Metric Subregularity for Subsmooth Generalized Constraint Equations in Banach Spaces
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 This paper is devoted to metric subregularity of a kind of generalized constraint equations. In particular, in terms of coderivatives and normal cones, we provide some necessary and sufficient conditions for subsmooth generalized constraint equations to be metrically subregular and strongly metrically subregular in general Banach spaces and Asplund ...
He Qinghai +3 more
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Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 This paper deals with the following Dirichlet problem: d*A(x, g + du) = d*h in Ω, uT = 0 on ∂Ω. Based on its solvability, we derive some properties of its solutions. In this paper, we mainly get three results. Firstly, we establish an integral estimate for the solutions of the above Dirichlet boundary value problem.
Tingting Wang +2 more
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Weak Sharp Minima in Set‐Valued Optimization Problems
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We introduce the notion of a weak ψ‐sharp minimizer for set‐valued optimization problems. We present some sufficient and necessary conditions that a pair point is a weak ψ‐sharp minimizer through the outer limit of set‐valued map and develop the characterization of the weak ψ‐sharp minimizer in terms of a generalized nonlinear scalarization function ...
Ming-hao Jin +3 more
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Weak Subdifferential in Nonsmooth Analysis and Optimization
Journal of Applied Mathematics, Volume 2011, Issue 1, 2011., 2011 Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and Inceoglu, 2010), the author proves some theorems connecting weak subdifferential in nonsmooth and ...
Şahlar F. Meherrem +2 more
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Generalized coderivations of bicomodules
Journal of the Mathematical Society of Japan, 2016 In a previous paper, [Int. J. Pure Appl. Math. 77, No. 4, 579-593 (2012; Zbl 1253.16041)], the author extended a generalized derivation to a map from a bimodule to a bimodule. By dualizing, it is possible to extend the definition of a generalized coderivation to a map from a bicomodule to a bicomodule over corings.
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Modeling a Quantum Hall System via Elliptic Equations
Advances in Mathematical Physics, Volume 2009, Issue 1, 2009., 2009 Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology. In particular, it is a good framework to search for universal principles relevant to nanosystem modeling and nanosystem‐specific signal processing. Recently, we have been able to construct a partial differential equations‐based model of a quantum Hall ...
Artur Sowa, Shao-Ming Fei
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Generalized Moisil‐Théodoresco Systems and Cauchy Integral Decompositions
International Journal of Mathematics and Mathematical Sciences, Volume 2008, Issue 1, 2008., 2008 Let ℝ01,m+(s) be the space of s‐vectors (0 ≤ s ≤ m + 1) in the Clifford algebra ℝ0,m+1 constructed over the quadratic vector space ℝ0,m+1, let r, p, q ∈ ℕ with 0 ≤ r ≤ m + 1, 0 ≤ p ≤ q, and r + 2q ≤ m + 1, and let ℝ01,m+(r,p,q)=∑j=pq⨁ℝ01,m+(r+2j). Then, an ℝ01,m+(r,p,q)‐valued smooth function W defined in an open subset Ω ⊂ ℝm+1 is said to satisfy the ...
Ricardo Abreu Blaya +4 more
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