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Weak Subdifferential in Nonsmooth Analysis and Optimization [PDF]
Journal of Applied Mathematics, 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 ...
Şahlar F. Meherrem, Refet Polat
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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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Approximate Subdifferential of the Difference of Two Vector Convex Mappings
Mathematics, 2023 This paper deals with the strong approximate subdifferential formula for the difference of two vector convex mappings in terms of the star difference. This formula is obtained via a scalarization process by using the approximate subdifferential of the ...
Abdelghali Ammar +3 more
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The External Estimate of the Compact Set by Lebesgue Set of the Convex Function [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The finite-dimensional problem of embedding a given compact D ⊂ R p into the lower Lebesgue set G(α) = {y ∈ R p : f(y) 6 α} of the convex function f(·) with the smallest value of α due to the offset of D is considered.
Abramova, Veronika V. +2 more
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Half-Space Relaxation Projection Method for Solving Multiple-Set Split Feasibility Problem
Mathematical and Computational Applications, 2020 In this paper, we study an iterative method for solving the multiple-set split feasibility problem: find a point in the intersection of a finite family of closed convex sets in one space such that its image under a linear transformation belongs to the ...
Guash Haile Taddele +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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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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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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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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Calculus Rules for V-Proximal Subdifferentials in Smooth Banach Spaces
Journal of Function Spaces, 2016 In 2010, Bounkhel et al. introduced new proximal concepts (analytic proximal subdifferential, geometric proximal subdifferential, and proximal normal cone) in reflexive smooth Banach spaces.
Messaoud Bounkhel
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