Results 11 to 20 of about 216 (132)
Mixed Coderivatives of Set–Valued Mappings in Variational Analysis
Journal of Applied Analysis, 1998 Abstract We consider a refined coderivative construction for nonsmooth and set-valued mappings between Banach spaces. This limiting mixed coderivative is different from “normal” coderivatives generated by normal cones/subdifferentials and turns out to be useful for studying some basic propertiers in variational analysis particularly ...
Mordukhovich, B.S., Shao, Y.
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Coderivations of Ranked Bigroupoids [PDF]
Journal of Applied Mathematics, 2012 The notion of (co)derivations of ranked bigroupoids is discussed by Alshehri et al. (in press), and their generalized version is studied by Jun et al. (under review press). In particular, Jun et al. (under review press) studied coderivations of ranked bigroupoids.
Young Bae Jun +2 more
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Projectional Coderivatives and Calculus Rules
Set-Valued and Variational Analysis, 2023 This paper is devoted to the study of a newly introduced tool, projectional coderivatives and the corresponding calculus rules in finite dimensions. We show that when the restricted set has some nice properties, more specifically, is a smooth manifold, the projectional coderivative can be refined as a fixed-point expression.
Wenfang Yao +3 more
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Relative Lipschitz-like property of parametric systems via projectional coderivative
, 2022 This paper concerns upper estimates of the projectional coderivative of implicit mappings and corresponding applications on analyzing the relative Lipschitz-like property.
Yang, Xiaoqi +5 more
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Cohomologies and deformations of coassociative coderivations
Communications in Algebra, 2023 To appear in Communications in ...
Du, Lei +3 more
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Stability Analysis of Stochastic Generalized Equation via Brouwer’s Fixed Point Theorem
Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 The stochastic generalized equation provides a unifying methodology to study several important stochastic programming problems in engineering and economics. Under some metric regularity conditions, the quantitative stability analysis of solutions of a stochastic generalized equation with the variation of the probability measure is investigated via ...
Qiang Liu +4 more
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Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016 We discuss the physics of interacting fields and particles living in a de Sitter Lorentzian manifold (dSLM), a submanifold of a 5‐dimensional pseudo‐Euclidean (5dPE) equipped with a metric tensor inherited from the metric of the 5dPE space. The dSLM is naturally oriented and time oriented and is the arena used to study the energy‐momentum conservation ...
Waldyr A. Rodrigues +2 more
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$A_{\infty}$-coderivations and the Gerstenhaber bracket on Hochschild cohomology [PDF]
Journal of Noncommutative Geometry, 2020 We show that Hochschild cohomology of an algebra over a field is a space of infinity coderivations on an arbitrary projective bimodule resolution of the algebra. The Gerstenhaber bracket is the graded commutator of infinity coderivations. We thus generalize, to an arbitrary resolution, Stasheff’s realization of the Gerstenhaber bracket on Hochschild ...
Negron, Cris +2 more
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The Natural Gas Cash‐Out Problem: A Bilevel Optimal Control Approach
Mathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015 The aim of this paper is threefold: first, it formulates the natural gas cash‐out problem as a bilevel optimal control problem (BOCP); second, it provides interesting theoretical results about Pontryagin‐type optimality conditions for a general BOCP where the upper level boasts a Mayer‐type cost function and pure state constraints, while the lower ...
Vyacheslav V. Kalashnikov +3 more
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Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A calmness condition for a general multiobjective optimization problem with equilibrium constraints is proposed. Some exact penalization properties for two classes of multiobjective penalty problems are established and shown to be equivalent to the calmness condition.
Shengkun Zhu +2 more
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