Results 151 to 160 of about 6,730 (164)

A generalized steepest descent method for continuously subdifferentiable functions

Optimization, 1994
A class of methods for unconstrained minimization of quasidifferentiable, especially subdifferentiable functions is described, which includes well-known algorithms as special cases. Moreover, it is shown that an algorithm previously published fails to converge to an e-inf-stationary point in general. Some preliminary numerical results are reported on.
B. Luderer, J. Weigelt
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Attractors of periodic systems generated by time-dependent subdifferentials

Nonlinear Analysis: Theory, Methods & Applications, 1999
In this very important work, attractors of periodic systems generated by time-dependent subdifferentials is examined. The authors deal (firstly) with the periodic system \[ \dot u(t)+\partial \varphi^t_p \bigl(u (t) \bigr)+ g_p\bigl(t,u(t) \bigr)\ni f_p(t)\text{ in }H,\;t\geq s,\leqno{(P)_s} \] where \(\varphi_p^t\) is a \(T_0\)-periodic proper l.s.c ...
Ito, Akio, Kenmochi, Nobuyuki, Yamazaki, Noriaki   +2 more
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On generalized $$\epsilon $$ ϵ -subdifferential and radial epiderivative of set-valued mappings

Optimization Letters, 2013
Le \(X\) be a real normed space, \(Y\) a real normed space ordered by a convex cone \(K\), and \(F:X\rightarrow2^{Y}\) a set-valued mapping. By using radial epiderivatives, the notion of generalized \(\varepsilon\) -subdifferential of \(F\) is introduced.
Guo, X. L., Zhao, C. J., Li, Z. W.
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On generalized conjugations and subdifferentials in abstract convex analysis

Optimization, 2009
We generalize the notion of a duality , where U and V are two complete lattices, to arbitrary partially ordered sets U and V. Then we consider abstract subdifferentials corresponding to such type of dualities and formulate conditions for the global minimum of a function in terms of these subdifferentials.
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Analysis of Generalized Conditional Joints as Subdifferential Constitutive Models

Mechanics of Structures and Machines, 1987
ABSTRACT The elements of a body whose stresses or strains or their combinations are governed by prescribed conditions are termed conditional joints. During a loading process, new contacts develop (locking of gaps) or existing connections become ineffective (plastification), causing physical nonlinearity of the body.
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Almost periodic stability for doubly nonlinear evolution equations generated by subdifferentials

Nonlinear Analysis: Theory, Methods & Applications, 2001
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An extension to sets of supernormal cones and generalized subdifferential

Optimization, 1994
In this research work we present some considerations concerning the supernormal (nuclear) cones. remarkable examples, a proper extension to sets of the supernormality and its immediate connections with an apprupriatc cunccpt of generalized ...
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Solutions of evolution inclusions generated by a difference of subdifferentials

Proceedings of the Steklov Institute of Mathematics, 2016
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Generalized Derivatives and Generalized Subdifferentials

2013
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Generalized Hukuhara Global Subdifferentiability in Interval Optimization Problems

2023
Krishan Kumar, Debdas Ghosh
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