Results 11 to 20 of about 27,706 (253)

On generalized global fractional-order composite dynamical systems with set-valued perturbations

Journal of Nonlinear and Variational Analysis, 2022
In this paper, we investigate a class of generalized global fractional-order composite dynamical systems involving set-valued perturbations in real separable Hilbert spaces.
L. Ceng, N. Huang, C. Wen
semanticscholar   +1 more source

A New Class of Accretive Mappings in Semi-Inner Product Space with an Application to Solve Variational Inclusion

Axioms, 2023
This work aims to develop a new class of accretive mappings and investigate its associated class of proximal mappings. This new class of accretive mappings is known as generalized (Hk,φ)-η-accretive mappings.
Sanjeev Gupta, Nifeen Hussain Altaweel
doaj   +1 more source

Vector parametric quasi-equilibrium problems for the sum of two set-valued mappings

Journal of Nonlinear and Variational Analysis, 2021
. In this paper, we consider parametric quasi-equilibrium problems for the sum of two set-valued mappings. We present sufficient conditions for the existence of solution of these problems by using a generalized KKM-type theorem in topological vector ...
M. Darabi, Z. Soltani, J. Zafarani
semanticscholar   +1 more source

Set-valued orthogonality and nearness

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020
The theory of set-valued mappings has grown with the development of modern variational analysis. It is a key in convex and non-smooth analysis, in game theory, in mathematical economics and in control theory.
Annamaria Barbagallo, Octavian E. Ernst, Michel Théra   +2 more
doaj   +1 more source

The Least Singular Value Function in Variational Analysis [PDF]

Set-Valued and Variational Analysis
Metric regularity is among the central concepts of nonlinear and variational analysis, constrained optimization, and their numerous applications. However, metric regularity can be elusive for some important ill-posed classes of problems including ...
Mario Jelitte, B. Mordukhovich
semanticscholar   +1 more source

Approximate amplitude encoding in shallow parameterized quantum circuits and its application to financial market indicators

Physical Review Research, 2022
Efficient methods for loading given classical data into quantum circuits are essential for various quantum algorithms. In this paper, we propose an algorithm called Approximate Amplitude Encoding that can effectively load all the components of a given ...
Kouhei Nakaji, Shumpei Uno, Yohichi Suzuki, Rudy Raymond, Tamiya Onodera, Tomoki Tanaka, Hiroyuki Tezuka, Naoki Mitsuda, Naoki Yamamoto   +8 more
doaj   +1 more source

Extremality of Families of Sets and Set-Valued Optimization [PDF]

Set-Valued and Variational Analysis
The paper continues our recent work (Cuong et al. in Optimization 73(12):3593–3607, 2024) where another extension of the extremal principle has been established.
N. D. Cuong, Alexander Y. Kruger, N. H. Thao   +2 more
semanticscholar   +1 more source

Set-Valued Stochastic Differential Equations with Unbounded Coefficients [PDF]

Set-Valued and Variational Analysis
In this paper, we mainly focus on the set-valued (stochastic) analysis on the space of convex, closed, but possibly unbounded sets, and try to establish a useful theoretical framework for studying the set-valued stochastic differential equations with ...
Atiqah Almuzaini, Jin Ma
semanticscholar   +1 more source

Optimality conditions and duality relations in nonsmooth fractional interval-valued multiobjective optimization [PDF]

Applied Set-Valued Analysis and Optimization, 2022
This paper deals with Pareto solutions of a nonsmooth fractional interval-valued multiobjective optimization. We first introduce four types of Pareto solutions of the considered problem by considering the lower-upper interval order relation and then ...
N. Hung, N. Tuyen
semanticscholar   +1 more source

On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions [PDF]

Set-Valued and Variational Analysis
Variational convexity, together with ist strong counterpart, of extended-real-valued functions has been recently introduced by Rockafellar. In this paper we present second-order characterizations of these properties, i.e., conditions using first-order ...
Helmut Gfrerer
semanticscholar   +1 more source