GENERALIZED DISTANCE AND COMMON FIXED POINT THEOREMS IN MENGER PROBABILISTIC METRIC SPACES

被引：0
|
作者：
Saadati, R. [1 ]
O'Regan, D. [2 ]
Vaezpour, S. M. [1 ]
Kim, J. K. [3 ]
机构：
[1] Amir Kabir Univ Technol, Dept Math & Comp Sci, Tehran 15914, Iran
[2] Natl Univ Ireland, Dept Math, Galway, Ireland
[3] Kyungnam Univ, Dept Math, Masan 631701, Kyungnam, South Korea
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2009年 / 35卷 / 02期
关键词：
Nonlinear probabilistic contractive mapping; complete probabilistic metric space; Menger space; fixed point theorem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the concept of r-distance on a Menger probabilistic metric space. Furthermore we prove some fixed point theorems in a complete Menger probabilistic metric space generalizing some famous fixed point theorems.
引用
收藏
页码：97 / 117
页数：21
相关论文
共 50 条
  • [41] COUPLED COMMON FIXED POINT THEOREMS FOR φ-CONTRACTIONS IN PROBABILISTIC METRIC SPACES AND APPLICATIONS
    Wang, S. H.
    Abdou, A. A. N.
    Cho, Y. J.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (06): : 95 - 108
  • [42] Some Common Fixed Point Theorems in Menger PM Spaces
    Imdad, M.
    Tanveer, M.
    Hasan, M.
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [43] Some Common Fixed Point Theorems in Menger PM Spaces
    M Imdad
    M Tanveer
    M Hasan
    Fixed Point Theory and Applications, 2010
  • [44] SOME FIXED POINT THEOREMS VIA COMMON LIMIT RANGE PROPERTY IN NON-ARCHIMEDEAN MENGER PROBABILISTIC METRIC SPACES
    Nashine, Hemant Kumar
    Kadelburg, Zoran
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (03) : 789 - 807
  • [45] Generalization of fixed point theorems in ordered metric spaces concerning generalized distance
    Elham Graily
    Seiyed Mansour Vaezpour
    Reza Saadati
    Yeol JE Cho
    Fixed Point Theory and Applications, 2011
  • [46] Generalization of fixed point theorems in ordered metric spaces concerning generalized distance
    Graily, Elham
    Vaezpour, Seiyed Mansour
    Saadati, Reza
    Cho, Yeol J. E.
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [47] On Fixed Point Theorems in Probabilistic Metric Spaces and Applications
    Golet, Ioan
    Golet, Ionut
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2008, 1048 : 235 - +
  • [48] Multivalued Operator with Respect Generalized Distance on Menger Probabilistic Metric Spaces
    Saadati, Reza
    FILOMAT, 2016, 30 (07) : 1675 - 1682
  • [49] COMPATIBLE MAPS AND COMMON FIXED POINTS IN MENGER PROBABILISTIC METRIC SPACES
    Kutukcu, Servet
    Sharma, Sushil
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 24 (01): : 17 - 27
  • [50] Generalized common fixed point theorems in complex valued metric spaces and applications
    Wutiphol Sintunavarat
    Poom Kumam
    Journal of Inequalities and Applications, 2012
12345