A Fixed Point Theorem in Generalized Menger Spaces

被引:0
|
作者
Choudhury, Binayak S. [1 ]
Das, Krishnapada [1 ]
机构
[1] Bengal Engn & Sci Univ, Dept Math, POB Garden, Howrah 711103, W Bengal, India
来源
THAI JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 02期
关键词
Generalized Menger space; Fixed point; Contraction mapping; t-norm;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The present authors had introduced generalized Menger space as a generalization of certain probabilistic metric spaces. In this paper we establish a basic fixed point theorem in this types of spaces. Our result is supported by an example.
引用
收藏
页码:363 / 370
页数:8
相关论文
共 50 条
  • [1] A Related Fixed Point Theorem in Two Menger Spaces
    Chauhan, Sunny
    Beg, Ismat
    Pant, B. D.
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2014, 27 (01): : 659 - 662
  • [2] A FIXED POINT THEOREM IN GENERALIZED METRIC SPACES
    Kikina, Luljeta
    Kikina, Kristaq
    DEMONSTRATIO MATHEMATICA, 2013, 46 (01) : 181 - 190
  • [3] Fixed point results for cyclic contractions in Menger PM-spaces and generalized Menger PM-spaces
    Wu, Zhaoqi
    Zhu, Chuanxi
    Yuan, Chenggui
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (02) : 449 - 462
  • [4] Fixed point results for cyclic contractions in Menger PM-spaces and generalized Menger PM-spaces
    Zhaoqi Wu
    Chuanxi Zhu
    Chenggui Yuan
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 449 - 462
  • [5] Altering Distances and a Common Fixed Point Theorem in Menger Probabilistic Metric Spaces
    Jesic, Sinisa N.
    Cirovic, Natasa A.
    O'Regan, Donal
    FILOMAT, 2017, 31 (02) : 175 - 181
  • [6] A common fixed point theorem in Menger probabilistic quasi-metric spaces
    Rezaiyan, R.
    Cho, Y. J.
    Saadati, R.
    CHAOS SOLITONS & FRACTALS, 2008, 37 (04) : 1153 - 1157
  • [7] A Common Fixed Point Theorem in Strictly Convex Menger PM-spaces
    Jesic, Sinisa N.
    Nikolic, Rale M.
    Babacev, Natasa A.
    FILOMAT, 2014, 28 (04) : 735 - 743
  • [8] A note on a fixed point theorem in Menger probabilistic quasi-metric spaces
    Mihet, Dorel
    CHAOS SOLITONS & FRACTALS, 2009, 40 (05) : 2349 - 2352
  • [9] Generalized Partial Metric Spaces With A Fixed Point Theorem
    Aydi, H.
    Karapinar, E.
    JOURNAL OF MATHEMATICAL EXTENSION, 2019, 13 (03) : 99 - 108
  • [10] GENERALIZED DISTANCE AND COMMON FIXED POINT THEOREMS IN MENGER PROBABILISTIC METRIC SPACES
    Saadati, R.
    O'Regan, D.
    Vaezpour, S. M.
    Kim, J. K.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2009, 35 (02) : 97 - 117