(Φ, Δ)型概率收缩与Menger PN-空间中非线性算子方程的解<sup>*</sup>

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(Φ, Δ)型概率收缩与Menger PN-空间中非线性算子方程的解^*

基金项目: * 江苏省教委自然科学基金

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

摘要: 本文在Menser概率赋范空间中引入了(Φ,Δ)型概率收缩的概念,研究了Menger概率赋范空间中具有这类概率收缩的非线性算子方程的解的存在性与唯一性。发展和改进了引文[1]、[4～8]的相应结果。
- Menger PN-空间 /
- h型t-范数 /
- 概率收缩 /
- 算子方程
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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[9]	O. Hadzit, Fixed point theorems for mufti-valued mapping in probabilistic metric space, Mat. Vesnik, 3, 16(1979), 125-133.

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