Some Results on Continuous Type Conditional Input-Output Equation——Fixed Point and Surjectivity Methods

LIU Ying-fan; CHEN Xiao-hong

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LIU Ying-fan, CHEN Xiao-hong. Some Results on Continuous Type Conditional Input-Output Equation——Fixed Point and Surjectivity Methods[J]. Applied Mathematics and Mechanics, 2004, 25(3): 323-330.

Citation:

LIU Ying-fan, CHEN Xiao-hong. Some Results on Continuous Type Conditional Input-Output Equation——Fixed Point and Surjectivity Methods[J]. Applied Mathematics and Mechanics, 2004, 25(3): 323-330.

Citation:

LIU Ying-fan, CHEN Xiao-hong. Some Results on Continuous Type Conditional Input-Output Equation——Fixed Point and Surjectivity Methods[J]. Applied Mathematics and Mechanics, 2004, 25(3): 323-330.

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Some Results on Continuous Type Conditional Input-Output Equation——Fixed Point and Surjectivity Methods

LIU Ying-fan^1,2,
CHEN Xiao-hong¹

1.
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;

Received Date: 2002-07-17
Rev Recd Date: 2003-10-06
Publish Date: 2004-03-15

Abstract

Abstract

Based on the classical(matrix type) input-output analysis, a type of nonlinear(continuous type) conditional Leontief model, input-output equation were introduced, as well as three corresponding questions, namely, solvability, continuity and surjectivity, and some fixed point and surjectivity methods in nonlinear analysis were used to deal with these questions. As a result, the main theorems are obtained, which provide some sufficient criterions to solve above questions described by the boundary properties of the enterprise s consuming operator.
- input-output equation,
- solvability,
- continuity,
- surjectivity,
- fixed point, upper semi-continuous,
- upper hemi-continuous,
- nonlinear analysis,

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References(16)

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