Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (8): 721-733.

• 论文 • 上一篇    下一篇

COINCIDENCE POINT THEOREMS IN PROBABILISTIC METRIC SPACES WITH A CONVEX STRUCTURES

朴渭汰1, 朴根生1, 赵烈济1, 金钟圭2   

  1. 1. Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea;
    2. Department of Mathematics, Kyungnam University, Masan 630-701 Korea
  • 收稿日期:1993-09-17 出版日期:1994-08-18 发布日期:1994-08-18

COINCIDENCE POINT THEOREMS IN PROBABILISTIC METRIC SPACES WITH A CONVEX STRUCTURES

Wee Tae Park1, Keun Saeng Park1, Yeol Je Cho1, Jong Kyu Kim2   

  1. 1. Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea;
    2. Department of Mathematics, Kyungnam University, Masan 630-701 Korea;
    3. Received Sept. 17, 1993; Communicated by Zhang Shi-sheng
  • Received:1993-09-17 Online:1994-08-18 Published:1994-08-18

摘要: In this paper we draw some coincidence and common fixed point theorems for nonlinear hybrid contraction mappings on probabilistic metric spaces with a convex structure.

关键词: free-surface wave, viscous wake, viscosity, submergence depth, Oseenlet, Lighthill’s two-stage scheme, asymptotic solution, probabilistic metric spaces, a convex structure, commuting mappings, coincidence and common fixed points

Abstract: In this paper we draw some coincidence and common fixed point theorems for nonlinear hybrid contraction mappings on probabilistic metric spaces with a convex structure.

Key words: free-surface wave, viscous wake, viscosity, submergence depth, Oseenlet, Lighthill’s two-stage scheme, asymptotic solution, probabilistic metric spaces, a convex structure, commuting mappings, coincidence and common fixed points

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