Generalized Gradients and Asymptotics of the Functional Trace

Deformations of Mathematical Structures ◽

10.1007/978-94-009-2643-1_23 ◽

1989 ◽

pp. 247-262 ◽

Cited By ~ 1

Author(s):

Thomas P. Branson ◽

Bent Ørsted

Keyword(s):

Generalized Gradients

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Generalized gradients and applications

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1975-0367131-6 ◽

1975 ◽

Vol 205 ◽

pp. 247-247 ◽

Cited By ~ 701

Author(s):

Frank H. Clarke

Keyword(s):

Generalized Gradients

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Market equilibria and money

Fixed Point Theory and Algorithms for Sciences and Engineering ◽

10.1186/s13663-021-00705-4 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Sjur Didrik Flåm

Keyword(s):

Fixed Point ◽

Steady State ◽

Value Added ◽

Pareto Optimal ◽

Generalized Gradients ◽

Market Mechanisms ◽

Mathematical Arguments ◽

Second Welfare Theorem ◽

Market Equilibria ◽

Welfare Theorem

AbstractBy the first welfare theorem, competitive market equilibria belong to the core and hence are Pareto optimal. Letting money be a commodity, this paper turns these two inclusions around. More precisely, by generalizing the second welfare theorem we show that the said solutions may coincide as a common fixed point for one and the same system.Mathematical arguments invoke conjugation, convolution, and generalized gradients. Convexity is merely needed via subdifferentiablity of aggregate “cost”, and at one point only.Economic arguments hinge on idealized market mechanisms. Construed as algorithms, each stops, and a steady state prevails if and only if price-taking markets clear and value added is nil.

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Characterization of nonsmooth functions through their generalized gradients

Optimization ◽

10.1080/02331939108843678 ◽

1991 ◽

Vol 22 (3) ◽

pp. 401-416 ◽

Cited By ~ 37

Author(s):

R. Ellaia ◽

A. Hassouni

Keyword(s):

Generalized Gradients ◽

Nonsmooth Functions

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Functions with generalized gradients in the theory of cell functions

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf02415195 ◽

1957 ◽

Vol 44 (1) ◽

pp. 135-152 ◽

Cited By ~ 5

Author(s):

C. Y. Pauc

Keyword(s):

Generalized Gradients ◽

Cell Functions

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The Parallel Sum of Generalized Gradients

Trends in The Theory and Practice of Non-Linear Analysis, Proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)72732-4 ◽

1985 ◽

pp. 371-376

Author(s):

Gregory B. Passty ◽

Ricardo Torrejón

Keyword(s):

Generalized Gradients ◽

Parallel Sum

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Generalized gradients of monotone type

Nonlinear Analysis ◽

10.1016/j.na.2003.09.007 ◽

2004 ◽

Vol 56 (2) ◽

pp. 201-212

Author(s):

Pandelis Dodos

Keyword(s):

Generalized Gradients ◽

Monotone Type

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A formula of the calculus of stochastic generalized gradients

Computational Mathematics and Modeling ◽

10.1007/bf01128756 ◽

1993 ◽

Vol 4 (4) ◽

pp. 331-335

Author(s):

S. K. Zavriev ◽

A. G. Perevozchikov

Keyword(s):

Generalized Gradients

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Generalized gradients on Lie algebroids

Annals of Global Analysis and Geometry ◽

10.1007/s10455-013-9368-y ◽

2013 ◽

Vol 44 (3) ◽

pp. 319-337 ◽

Cited By ~ 2

Author(s):

Bogdan Balcerzak ◽

Antoni Pierzchalski

Keyword(s):

Lie Algebroids ◽

Generalized Gradients

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On the pseudo-monotonicity of generalized gradients of nonconvex functions

Applicable Analysis ◽

10.1080/00036819208840138 ◽

1992 ◽

Vol 47 (1-4) ◽

pp. 151-172 ◽

Cited By ~ 17

Author(s):

Zdzisław Naniewicz

Keyword(s):

Generalized Gradients ◽

Nonconvex Functions

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Twisted Dirac operators and generalized gradients

Annals of Global Analysis and Geometry ◽

10.1007/s10455-016-9503-7 ◽

2016 ◽

Vol 50 (2) ◽

pp. 101-127 ◽

Cited By ~ 2

Author(s):

Yasushi Homma

Keyword(s):

Dirac Operators ◽

Generalized Gradients ◽

Twisted Dirac Operators

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