Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (6): 515-521.

• 论文 • 上一篇    下一篇

(Φ,△)-TYPE PROBABILISTIC CONTRACTOR AND SOLUTIONS FOR A NONLINEAR OPERATOR EQUATIONS IN MENGER PN-SPACES

方锦暄   

  1. Department of Mathematics, Nanjing Normal University, Nanjing 210024, P. R. China
  • 收稿日期:1994-11-22 修回日期:1995-11-27 出版日期:1996-06-18 发布日期:1996-06-18
  • 基金资助:
    Project supported by the National Science Foundation of Educational Committee of Jiangsu Province of China

(Φ,△)-TYPE PROBABILISTIC CONTRACTOR AND SOLUTIONS FOR A NONLINEAR OPERATOR EQUATIONS IN MENGER PN-SPACES

Fang Jinxuan   

  1. Department of Mathematics, Nanjing Normal University, Nanjing 210024, P. R. China
  • Received:1994-11-22 Revised:1995-11-27 Online:1996-06-18 Published:1996-06-18
  • Supported by:
    Project supported by the National Science Foundation of Educational Committee of Jiangsu Province of China

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].

关键词: Menger PN-space, t-norm of h-type, probabilistic contractor, operator equation

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].

Key words: Menger PN-space, t-norm of h-type, probabilistic contractor, operator equation

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