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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (2): 145-148.

• 论文 • 上一篇    下一篇

FIXED POINT WITH ORBITAL DIAMETRAL FUNCTION

B. K. Sharma, B. S. Thakur   

  1. School of Studies in Mathematics, Pt.Ravishankar Shukla University, Raipur 492010, India
  • 收稿日期:1994-11-03 出版日期:1996-02-18 发布日期:1996-02-18

FIXED POINT WITH ORBITAL DIAMETRAL FUNCTION

B. K. Sharma, B. S. Thakur   

  1. School of Studies in Mathematics, Pt.Ravishankar Shukla University, Raipur 492010, India
  • Received:1994-11-03 Online:1996-02-18 Published:1996-02-18

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摘要： A foremost general contraction condition is introduced to prove the existence of fixed points for a self-mapping in a somplete metric space whose orbital diametral functions are closed. This condition covers not only the Kannan type but also covers Reich, and Hardy and Roger’s type contractive conditions. An example is given in its support.

关键词: closed orbital diametral function, fixed point

Abstract: A foremost general contraction condition is introduced to prove the existence of fixed points for a self-mapping in a somplete metric space whose orbital diametral functions are closed. This condition covers not only the Kannan type but also covers Reich, and Hardy and Roger’s type contractive conditions. An example is given in its support.

Key words: closed orbital diametral function, fixed point

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