| (Φ,△)-TYPE PROBABILISTIC CONTRACTOR AND SOLUTIONS FOR A NONLINEAR OPERATOR EQUATIONS IN MENGER PN-SPACES |
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| 摘 要： | 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].
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| 收稿时间： | 22 November 1994 |
(Φ, Δ)-Type probabilistic contractor and solutions for a nonlinear operator equations in Menger PN-spaces |
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| Authors: | Fang Jinxuan |
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| Institution: | (1) Department of Mathematics, Nanjing Normal University, 210024 Nanjing, P. R. China |
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| Abstract: | The purpose of this paper is to introduce the concept of ( ,  )-type probabilistic contractor in Menger PN-spaces and to study the existence and uniqueness of solutions for the nonlinear operator equations with such probablistic contractor in Menger PN-spaces. The results presented in this paper improve and extend the corresponding results in 1] and 4–8].Project supported by the National Science Foundation of Educational Committee of Jiangsu Province of China |
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| Keywords: | Menger PN-space t-norm of h-type probabilistic contractor operator equation |
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