Results 31 to 40 of about 73 (72)

Existence and optimal control results for Caputo fractional delay Clark's subdifferential inclusions of order r∈(1,2) with sectorial operators

Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.
The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja, Velusamy Vijayakumar, Kalyana Chakravarthy Veluvolu, Anurag Shukla, Kottakkaran Sooppy Nisar   +4 more
wiley   +1 more source

A Nonconvex Proximal Bundle Method for Nonsmooth Constrained Optimization

Complexity, Volume 2024, Issue 1, 2024.
An implementable algorithm for solving nonsmooth nonconvex constrained optimization is proposed by combining bundle ideas, proximity control, and the exact penalty function. We construct two kinds of approximations to nonconvex objective function; these two approximations correspond to the convex and concave behaviors of the objective function at the ...
Jie Shen, Fang-Fang Guo, Na Xu, Sigurdur F. Hafstein   +3 more
wiley   +1 more source

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
doaj  

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.
openaire  

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

On the topological properties of the generalized Clarke subdifferential [PDF]

Miskolc Mathematical Notes, 2008
openaire   +2 more sources

Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization. [PDF]

J Optim Theory Appl, 2020
Constantin E.
europepmc   +1 more source

Using Positive Spanning Sets to Achieve d-Stationarity with the Boosted DC Algorithm. [PDF]

Vietnam J Math, 2020
Artacho FJA, Campoy R, Vuong PT.
europepmc   +1 more source

A fractional order nonlinear model of the love story of Layla and Majnun.

Sci Rep, 2023
Sabir Z, Said SB.
europepmc   +1 more source