数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (4): 1237-1253.doi: 10.1016/S0252-9602(14)60082-5

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FIXED POINT RESULTS ON METRIC-TYPE SPACES

Monica COSENTINO|Peyman SALIMI|Pasquale VETRO   

  1. 1. Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, Via Archirafi, 34, 90123 Palermo, Italy;
    2. Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran
  • 收稿日期:2012-12-01 修回日期:2013-12-09 出版日期:2014-07-20 发布日期:2014-07-20
  • 基金资助:

    The third author is supported by Universit`a degli Studi di Palermo (Local University Project ex 60%).

FIXED POINT RESULTS ON METRIC-TYPE SPACES

Monica COSENTINO|Peyman SALIMI|Pasquale VETRO   

  1. 1. Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, Via Archirafi, 34, 90123 Palermo, Italy;
    2. Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran
  • Received:2012-12-01 Revised:2013-12-09 Online:2014-07-20 Published:2014-07-20
  • Supported by:

    The third author is supported by Universit`a degli Studi di Palermo (Local University Project ex 60%).

摘要:

In this paper we obtain fixed point and common fixed point theorems for self-mappings defined on a metric-type space, an ordered metric-type space or a normal cone metric space. Moreover, some examples and an application to integral equations are given to illustrate the usability of the obtained results.

关键词: metric-type space, fixed point, common fixed point, Suzuki type mappings, cone metric space, integral equation

Abstract:

In this paper we obtain fixed point and common fixed point theorems for self-mappings defined on a metric-type space, an ordered metric-type space or a normal cone metric space. Moreover, some examples and an application to integral equations are given to illustrate the usability of the obtained results.

Key words: metric-type space, fixed point, common fixed point, Suzuki type mappings, cone metric space, integral equation

中图分类号: 

  • 47H10