Results 71 to 80 of about 149 (133)

The approximate and the Clarke subdifferentials can be different everywhere

Journal of Mathematical Analysis and Applications, 2008
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Optimality and scalarization of robust approximate solutions for semi-infinite vector equilibrium problems

Journal of Inequalities and Applications
This paper investigates the optimality conditions and scalarization theorems for robust approximate solutions to semi-infinite vector equilibrium problems with data uncertainty in the constraints.
Shan Cai, Xiaoping Li
doaj   +1 more source

Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance

Electronic Journal of Differential Equations, 2019
In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove
Silvia Frassu, Eugenio M. Rocha, Vasile Staicu   +2 more
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Generalization of Clark’s derivation and subdifferential [PDF]

, 2009
In this talk, we first introduce some new concepts of nonsmooth analysis for locally convex topological vector spaces and then by using these definition we obtain some results. Moreover we generalizes Lebourg’s mean value theorem to locally convex spaces.
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Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]

J Optim Theory Appl, 2022
Wang J, Li S, Feng M.
europepmc   +1 more source

Existence of solutions for a second order boundary value problem with the Clarke subdifferential

Filomat, 2017
In this paper, we prove a theorem on the existence of solutions for a second order differential inclusion governed by the Clarke subdifferential of a Lipschitzian function and by a mixed semicontinuous perturbation.
Azzam-Laouir, Dalila, Melit, Samira
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On compositions of special cases of Lipschitz continuous operators. [PDF]

Fixed Point Theory Algorithm Sci Eng, 2021
Giselsson P, Moursi WM.
europepmc   +1 more source

Lagrange Duality and Saddle-Point Optimality Conditions for Nonsmooth Interval-Valued Multiobjective Semi-Infinite Programming Problems with Vanishing Constraints

Axioms
This article deals with a class of nonsmooth interval-valued multiobjective semi-infinite programming problems with vanishing constraints (NIMSIPVC). We introduce the VC-Abadie constraint qualification (VC-ACQ) for NIMSIPVC and employ it to establish ...
Balendu Bhooshan Upadhyay, Shivani Sain, Ioan Stancu-Minasian   +2 more
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A new class of dual systems of fractional differential equations with hemivariational inequalities

Journal of Inequalities and Applications
The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential ...
Mohd Adnan, Esmail Alshaban, Fahad M. Alamrani, Abdur Raheem, Areefa Khatoon, Faizan A. Khan   +5 more
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A New Study on the Approximate Controllability of Sobolev-Type Stochastic ABC-Fractional Impulsive Differential Inclusions with Clarke Sub-Differential and Poisson Jumps

Fractal and Fractional
This paper undertakes a rigorous analytical exposition of the approximate controllability of a novel class of Sobolev-type stochastic impulsive differential inclusions, incorporating the Atangana–Baleanu fractional derivative in the Caputo configuration ...
Yousef Alnafisah, Hamdy M. Ahmed, A. M. Sayed Ahmed   +2 more
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