Results 11 to 20 of about 15,245 (222)
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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Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure [PDF]
Journal of Optimization Theory and Applications, 2013 We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the DC structure of the function.
Baier, Robert +2 more
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On the theory of subdifferentials
Advances in Nonlinear Analysis, 2012 The theory presented in the paper consists of two parts. The first is devoted to basic concepts and principles such as the very concept of a subdifferential, trustworthiness and its characterizations, geometric consistence, fuzzy principles and calculus ...
Ioffe Alexander D.
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Subdifferential set of an operator [PDF]
Monatshefte für Mathematik (Print), 2022 Let X, Y be complex Banach spaces. Let L(X,Y)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin ...
T. S. S. R. K. Rao
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Bulletin of the Malaysian Mathematical Sciences Society, 2022 In this paper, Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential and nonlocal conditions are studied. By using fractional calculus, stochastic analysis, properties of Clarke subdifferential and nonsmooth ...
H. Ahmed, M. Ragusa
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Vector Optimization Problems and Generalized Vector Variational-Like Inequalities [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak ...
Ildar Sadeqi, Somayeh Nadi
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Journal of Nonlinear and Variational Analysis, 2022 . The goal of this paper is to study optimal feedback control for a class of non-autonomous second-order evolution inclusions with Clarke’s subdifferential in a separable reflexive Banach space.
Jun Chen +3 more
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Kuwait Journal of Science, 2021 In this work, interval-valued optimization problems are considered. Ordering cone is used in order to obtain a generalization of interval-valued optimization problems on real topological vector spaces.
Emrah KARAMAN
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The fourth-order total variation flow in $ \mathbb{R}^n $
Mathematics in Engineering, 2023 We define rigorously a solution to the fourth-order total variation flow equation in $ \mathbb{R}^n $. If $ n\geq3 $, it can be understood as a gradient flow of the total variation energy in $ D^{-1} $, the dual space of $ D^1_0 $, which is the ...
Yoshikazu Giga +2 more
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Bolza type problems in infinite dimensional discrete time [PDF]
Journal of Hyperstructures, 2013 In this paper we study a discrete time version of deterministic models in optimization in infinite dimensional. The functionals are assumed to be merely lower semi continuous.
Rahma Sahraoui
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