(Φ, Δ)-Type Probabilistic Contractor and Solutions for a Nonlinear operator Equations in Menger PN-Spaces

Fang Jinxuan

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(6): 491-496

Fang Jinxuan. (Φ, Δ)-Type Probabilistic Contractor and Solutions for a Nonlinear operator Equations in Menger PN-Spaces[J]. Applied Mathematics and Mechanics, 1996, 17(6): 491-496.

Citation:

Fang Jinxuan. (Φ, Δ)-Type Probabilistic Contractor and Solutions for a Nonlinear operator Equations in Menger PN-Spaces[J]. Applied Mathematics and Mechanics, 1996, 17(6): 491-496.

Citation:

Fang Jinxuan. (Φ, Δ)-Type Probabilistic Contractor and Solutions for a Nonlinear operator Equations in Menger PN-Spaces[J]. Applied Mathematics and Mechanics, 1996, 17(6): 491-496.

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(Φ, Δ)-Type Probabilistic Contractor and Solutions for a Nonlinear operator Equations in Menger PN-Spaces

Fang Jinxuan

Department of Mathematics, Nanjing Normal University, Nanjing 210024, P. R. China

Received Date: 1994-11-22
Rev Recd Date: 1995-11-27
Publish Date: 1996-06-15

Abstract

Abstract

The purpose of this paper is to introduce the coneept of (Φ,△)-type probabilistic contractor in Menger PN-spaces and to study the existence and uniqueness of solutions for the nonlinear operator equations with such probabilistic contractor in Menger PN-spaces.The results presented in this paper improve and extend the corresponding results in [1] and [4-8].
- Menger PN-space,
- t-norm of h-type,
- probabilistic contractor,
- operator equation

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References(9)

References

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