Results 1 to 10 of about 6,730 (164)
Approximate Convexity for Set-Valued Maps [PDF]
Mathematics Interdisciplinary Research, 2023 In this paper, we extend the notion of approximate convexity to set-valued maps and obtain some relations between approximate convexity and approximate monotonicity of their normal subdifferential.
Zohreh Kefayati, Morteza Oveisiha
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Results in Control and Optimization, 2023 This manuscript is devoted to analyse the solvability and trajectory controllability of Hilfer fractional non-instantaneous impulsive stochastic differential inclusion with Clarke subdifferential and deviated argument.
N. Durga, Muslim Malik
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Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential [PDF]
Yugoslav Journal of Operations Research, 2021 Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ε−solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints ...
Pham Thanh-Hung
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Generalized subdifferentials: a Baire categorical approach [PDF]
Transactions of the American Mathematical Society, 2001 The authors provide a general method for the construction of pathological cases regarding the differentiability of Lipschitz functions. Already in 1931, Banach and Mazurkiewicz pointed out that almost every continuous real-valued function is nowhere differentiable. These results are extended in the paper showing that almost all Lipschitz functions have
Borwein, Jonathan M. +2 more
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Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions
Open Mathematics, 2020 In this paper, we present the concepts of generalized derivative, directional generalized derivative, subdifferential and conjugate for n-dimensional fuzzy-number-valued functions and discuss the characterizations of generalized derivative and ...
Xie Ting, Gong Zengtai, Li Dapeng
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Results in Control and Optimization, 2022 In this work, a fractional evolution hemivariational inequalities driven by non-instantaneous impulses is studied. The solvability of the proposed system is obtained by fractional calculus, properties of generalized Clarke’s subdifferential and Dhage ...
N. Durga +2 more
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Generalized Subdifferentials of Spectral Functions over Euclidean Jordan Algebras [PDF]
SIAM Journal on Optimization, 2020 This paper is devoted to the study of generalized subdifferentials of spectral functions over Euclidean Jordan algebras. Spectral functions appear often in optimization problems playing the role of "regularizer", "barrier", "penalty function" and many others.
Bruno F. Lourenço, Akiko Takeda
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Generalized subdifferentials of the sign change counting function [PDF]
Journal of Global Optimization, 2015 15 pages, 7 figures, 16 ...
Fortin, Dominique, Tseveendorj, Ider
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Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we investigate a class of stochastic evolution inclusions of Clarke's subdifferential type in Hilbert spaces. The existence of mild solutions and controllability results are given and proved by using stochastic analysis techniques ...
Yunxiang Li, Liang Lu
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On Mond–Weir-Type Robust Duality for a Class of Uncertain Fractional Optimization Problems
Axioms, 2023 This article is focused on the investigation of Mond–Weir-type robust duality for a class of semi-infinite multi-objective fractional optimization with uncertainty in the constraint functions.
Xiaole Guo
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