Well-posedness, optimal control, and sensitivity analysis for a class of differential variational-hemivariational inequalities

S Zeng, S Migórski, Z Liu - SIAM Journal on Optimization, 2021 - SIAM
The objective of the paper is to investigate a dynamical system called a differential
variational-hemivariational inequality (DVHVI) which couples an abstract variational …

Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities

Y Liu, Z Liu, NS Papageorgiou - Journal of Differential Equations, 2023 - Elsevier
The aim of this paper is to investigate a nonlinear optimal control problem governed by a
complicated dynamic variational-hemivariational inequality (DVHVI, for short) with history …

[HTML][HTML] New class up and down λ-convex fuzzy-number valued mappings and related fuzzy fractional inequalities

MB Khan, HG Zaini, G Santos-García, MA Noor… - Fractal and …, 2022 - mdpi.com
The fuzzy-number valued up and down λ-convex mapping is originally proposed as an
intriguing generalization of the convex mappings. The newly suggested mappings are then …

Optimal feedback control for a class of fractional evolution equations with history-dependent operators

Y Liu, Z Liu, S Peng, CF Wen - Fractional Calculus and Applied Analysis, 2022 - Springer
In this paper, we will study optimal feedback control problems derived by a class of Riemann-
Liouville fractional evolution equations with history-dependent operators in separable …

Nonsmooth dynamical systems: From the existence of solutions to optimal and feedback control

S Zeng, NS Papageorgiou, VD Rǎdulescu - Bulletin des Sciences …, 2022 - Elsevier
In this paper, we investigate a nonlinear and nonsmooth dynamics system (NNDS, for short)
involving two multi-valued maps which are a convex subdifferential operator and a …

Existence and convergence results for an elastic frictional contact problem with nonmonotone subdifferential boundary conditions

Y Liu, S Migórski, VT Nguyen, S Zeng - Acta Mathematica Scientia, 2021 - Springer
The goal of this paper is to study a mathematical model of a nonlinear static frictional contact
problem in elasticity with the mixed boundary conditions described by a combination of the …

[HTML][HTML] New class up and down pre-invex fuzzy number valued mappings and related inequalities via fuzzy riemann integrals

MB Khan, G Santos-García, S Treanțǎ, MS Soliman - Symmetry, 2022 - mdpi.com
Numerous applications of the theory of convex and nonconvex mapping exist in the fields of
applied mathematics and engineering. In this paper, we have defined a new class of …

[HTML][HTML] Some Certain Fuzzy Fractional Inequalities for Up and Down -Pre-Invex via Fuzzy-Number Valued Mappings

MB Khan, A Catas, N Aloraini, MS Soliman - Fractal and Fractional, 2023 - mdpi.com
In this study, we apply a recently developed idea of up and down fuzzy-ordered relations
between two fuzzy numbers. Here, we consider fuzzy Riemann–Liouville fractional integrals …

[HTML][HTML] Some certain fuzzy aumann integral inequalities for generalized convexity via fuzzy number valued mappings

MB Khan, HA Othman, MG Voskoglou, L Abdullah… - Mathematics, 2023 - mdpi.com
The topic of convex and nonconvex mapping has many applications in engineering and
applied mathematics. The Aumann and fuzzy Aumann integrals are the most significant …

Second order evolutionary problems driven by mixed quasi-variational–hemivariational inequalities

J Zhao, J Chen, Z Liu - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
In this paper we introduce a differential quasi-variational inequality which consists of a
second order partial differential equation involving history-dependent operators and a mixed …