zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
A Leontief-type input-output inclusion. (English) Zbl 1211.91089
Summary: A Leontief-type input-output inclusion problem based on a set-valued consuming map is studied. By applying a nonlinear analysis approach, in particular using the surjection and continuity technique with respect to set-valued mappings, solvability and stability results with and without continuity assumption concerning this inclusion are obtained.

91B02Fundamental topics on applicability to economics
91B60Trade models in economics
49J53Set-valued and variational analysis
Full Text: DOI EuDML
[1] Y. Liu, “A set-valued type inequality system,” Nonlinear Analysis: Theory, Methods & Applications, vol. 69, no. 11, pp. 4131-4142, 2008. · Zbl 1169.28008 · doi:10.1016/j.na.2007.10.043
[2] Y. F. Liu and T. P. Chen, “A solvability theorem on a class of conditional input-output equation,” Chinese Annals of Mathematics A, vol. 25, no. 6, pp. 791-798, 2004. · Zbl 1098.91045
[3] Y. F. Liu and X. H. Chen, “Some results on continuous type conditional input-output equation-fixed point and surjectivity methods,” Applied Mathematics and Mechanics, vol. 25, no. 3, pp. 358-366, 2004. · Zbl 1103.91058 · doi:10.1007/BF02437339
[4] Y. F. Liu and Q. Zhang, “Generalized input-output inequality systems,” Applied Mathematics and Optimization, vol. 54, no. 2, pp. 189-204, 2006. · Zbl 1111.46056 · doi:10.1007/s00245-006-0858-1
[5] Y. F. Liu and Q. Zhang, “The Rogalski-Cornet theorem and a Leontief-type input-output inclusion,” Nonlinear Analysis: Theory, Methods & Applications, vol. 69, no. 2, pp. 425-433, 2008. · Zbl 1141.91353 · doi:10.1016/j.na.2007.05.029
[6] J.-P. Aubin, Mathematical Methods of Game and Economic Theory, vol. 7 of Studies in Mathematics and Its Applications, North-Holland, Amsterdam, The Netherlands, 1979. · Zbl 0503.93011
[7] J.-P. Aubin, Optima and Equilibria. An Introduction to Nonlinear Analysis, vol. 140 of Graduate Texts in Mathematics, Springer, Berlin, Germany, 2nd edition, 1991. · Zbl 0936.62064
[8] J.-P. Aubin and I. Ekeland, Applied Nonlinear Analysis, Pure and Applied Mathematics, John Wiley & Sons, New York, NY, USA, 1984. · Zbl 0641.47066
[9] R. B. Holmes, Geometric Functional Analysis and Its Applications, Graduate Texts in Mathematics, no. 2, Springer, New York, NY, USA, 1974. · Zbl 0388.65035
[10] J. Wloka, Partial Differential Equations, Cambridge University Press, Cambridge, UK, 1987. · Zbl 0623.35006