Fixed point results on metric and partial metric spaces via simulation functions

被引：0
作者：
Nastasi, Antonella [1 ]
Vetro, Pasquale [1 ]
机构：
[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 06期
关键词：
Fixed point; metric space; partial metric space; nonlinear contraction; simulation function; THEOREMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove existence and uniqueness of fixed point, by using a simulation function and a lower semi-continuous function in the setting of metric space. As consequences of this study, we deduce several related fixed point results, in metric and partial metric spaces. An example is given to support the new theory. (C) 2015 All rights reserved.
引用
收藏
页码：1059 / 1069
页数：11
相关论文
共 28 条
  • [1] Argoubi H., NONLINEAR CONT UNPUB
  • [2] Banach S., 1922, Fund. math, V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
  • [3] Berinde V, 1993, SEM FIX POINT THOER, V3, P3
  • [4] ON NONLINEAR CONTRACTIONS
    BOYD, DW
    WONG, JSW
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) : 458 - &
  • [5] Bukatin M. A., 1997, Logical Foundations of Computer Science. 4th International Symposium, LFCS '97. Proceedings, P33
  • [6] Bukatin M.A., 1998, LECT NOTES COMPUTER, VVolume 1378, P33
  • [7] Common fixed point theorems for families of occasionally weakly compatible mappings
    Ciric, Ljubomir
    Samet, Bessem
    Vetro, Calogero
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 631 - 636
  • [8] Ciric U, 2012, FIXED POINT THEOR-RO, V13, P59
  • [9] FIXED POINT RESULTS ON METRIC-TYPE SPACES
    Cosentino, Monica
    Salimi, Peyman
    Vetro, Pasquale
    [J]. ACTA MATHEMATICA SCIENTIA, 2014, 34 (04) : 1237 - 1253
  • [10] Khojasteh F., 2014, NEW APPROAC IN PRESS
123