Results 21 to 30 of about 1,773 (86)
Journal of Inequalities and Applications, 2019 Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s ...
Hamdy M. Ahmed +3 more
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Derivatives of orbital function and an extension of Berezin-Gel’fand’s theorem
Special Matrices, 2016 A generalization of a result of Berezin and Gel’fand in the context of Eaton triples is given. The generalization and its proof are Lie-theoretic free and requires some basic knowledge of nonsmooth analysis.
Tam Tin-Yau, Hill William C.
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Complexity, Volume 2020, Issue 1, 2020., 2020 This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP). First, a necessary optimality condition for approximate quasi weak efficient solutions to VEP is established by utilizing the separation theorem with respect to the quasirelative interior of
Yameng Zhang +3 more
wiley +1 more source
Second-order subdifferential calculus with applications to tilt stability in optimization [PDF]
, 2011 The paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in finitedimensional spaces. The main attention is paid to the so-called (full
Mordukhovich, B. S., Rockafellar, R. T.
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Complexity, Volume 2020, Issue 1, 2020., 2020 Due to the nonsmoothness of the small‐signal stability constraint, calculating the available transfer capability (ATC) limited by small‐signal stability rigorously through the nonlinear programming is quite difficult. To tackle this challenge, this paper proposes a sequential quadratic programming (SQP) method combined with gradient sampling (GS) in a ...
Peijie Li +4 more
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Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we consider the evolutionary Navier‐Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition, we use the Galerkin approximation method and a weak precompactness criterion to ensure the ...
Hicham Mahdioui +3 more
wiley +1 more source
Zero-Convex Functions, Perturbation Resilience, and Subgradient Projections for Feasibility-Seeking Methods [PDF]
, 2014 The convex feasibility problem (CFP) is at the core of the modeling of many problems in various areas of science. Subgradient projection methods are important tools for solving the CFP because they enable the use of subgradient calculations instead of ...
Daniel Reem, Daniel Reem, Yair Censor
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Optimizing condition numbers [PDF]
, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Jane J. Ye, Lewis A.S., Pierre Maréchal
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Subdifferential Test for Optimality
, 2013 We provide a first-order necessary and sufficient condition for optimality of lower semicontinuous functions on Banach spaces using the concept of subdifferential.
Jules, Florence, Lassonde, Marc
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function. First, the concept of SCN function is defined, where the SCN functions are nonconvex or nonsmooth.
Min Jiang +4 more
wiley +1 more source