A Note on Probabilistic Contractor Couple and Solutions for a System of Nonlinear Equations in N.A.Menger PN-Spaces

Fang Jinxuan; Song Guian

Volume 21 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(7): 759-765

Fang Jinxuan, Song Guian. A Note on Probabilistic Contractor Couple and Solutions for a System of Nonlinear Equations in N.A.Menger PN-Spaces[J]. Applied Mathematics and Mechanics, 2000, 21(7): 759-765.

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A Note on Probabilistic Contractor Couple and Solutions for a System of Nonlinear Equations in N.A.Menger PN-Spaces

Department of Mathematics, Nanjing Normal University, Nanjing 210097, P R China

Received Date: 1999-02-09
Rev Recd Date: 2000-04-10
Publish Date: 2000-07-15

Abstract

Abstract

The concept of(Φ,Δ)-type probabilistic contractor couple was introduced which simplifies and weakens the definition of probabilistic contractor couple given by Zhang Shisheng.The existence and uniqueness of the solutions for a system of nonlinear operator equations with this kind of propabilistic contractor couple in N.A.Menger PN-spaces were studied.The works improve and extend the corrosponding results by M.Altman,A.C.Lee,W.J.Padgett et al.
- N A Menger PN-space,
- (Φ,Δ)-probabilistic contractor couple,
- selective operator,
- nonlinear operator equations

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References

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