On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Zeitschrift für Analysis und ihre Anwendungen, 1994 Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators N_F generated by a set-valued function F: \Omega \times X \to 2^Y
Rolewicz, S., Wen, Song
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Integral inequalities for some convexity classes via Atangana-Baleanu integral operators [PDF]
, 2021 In this paper, firstly, definitions of different classes of convexity, Riemann-Liouville fractional integral and Atangana-Baleanu fractional integral operator are given.
Akdemir, A. O. +3 more
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Aggregation operators in interval-valued fuzzy and Atanassov's intuitionistic fuzzy set theory [PDF]
, 2008 In this paper we give an overview of some recent advances on aggregation operators on L^I, where L^I is the underlying lattice of interval-valued fuzzy set theory (which is equivalent to Atanassov’s intuitionistic fuzzy set theory).
Kerre, EtienneWE02801000205272F358CFA4-F0ED-11E1-A9DE-61C894A0A6B4 +4 more
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Vector valued logarithmic residues and the extraction of elementary factors [PDF]
An analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple
Bart, H., Silbermann, B., Ehrhardt, T.
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Bregman Distance and Strong Convergence of Proximal-Type Algorithms
Abstract and Applied Analysis, 2013 The purpose of this paper is to discuss some fundamental properties of Bregman distance, generalized projection operators, firmly nonexpansive mappings, and resolvent operators of set-valued monotone operators corresponding to a functional Φ(∥·∥).
Li-Wei Kuo, D. R. Sahu
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Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators
Constructive ApproximationAbstract We introduce an adaptation of integral approximation operators to set-valued functions (SVFs, multifunctions), mapping a compact interval [a, b] into the space of compact non-empty subsets of $${\mathbb {R}}^d$$ R
Elena E. Berdysheva +3 more
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Approximation of convex set-valued functions [PDF]
, 1979 Approximation of set-valued functions is introduced and discussed under a convexity assumption.
Vitale, Richard A
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Partial Smoothness, Subdifferentials and Set-valued Operators
Over the past decades, the concept "partial smoothness" has been playing as a powerful tool in several fields involving nonsmooth analysis, such as nonsmooth optimization, inverse problems and operation research, etc. The essence of partial smoothness is that it builds an elegant connection between the optimization variable and the objective function ...
Qin, Ziqi, Liang, Jingwei
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An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains [PDF]
, 2011 The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains.
Filippo Cagnetti (4464373) +9 more
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IEEE Access, 2019 In multi-criteria decision making (MCDM), it is difficult for decision-makers to give accurate evaluation values, and one-dimensional fuzzy set theory cannot capture periodic and seasonal information.
Jian-Ping Fan, Rui Cheng, Mei-Qin Wu
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