Coincidence point theorems and minimization theorems in fuzzy metric spaces

被引:1
|
作者
Chang, SS
Cho, YJ
Lee, BS
Jung, JS
Kang, SM
机构
[1] KYUNGSUNG UNIV,DEPT MATH,PUSAN 608736,SOUTH KOREA
[2] SICHUAN UNIV,DEPT MATH,CHENGDU 610064,SICHUAN,PEOPLES R CHINA
[3] GYEONGSANG NATL UNIV,DEPT MATH,CHINJU 660701,SOUTH KOREA
[4] DONG A UNIV,DEPT MATH,PUSAN 604714,SOUTH KOREA
关键词
analysis; fuzzy number; generating spaces of quasi-metric family; coincidence points; fixed points; fuzzy metric spaces; probabilistic metric spaces;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, some new versions of coincidence point theorems and minimization theorems for single-valued and multi-valued mappings in generating spaces of the quasi-metric family are obtained. As applications, we utilize our main theorems to prove coincidence point theorems, fixed point theorems and minimization theorems for single-valued and multi-valued mappings in fuzzy metric spaces and probabilistic metric spaces. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:119 / 127
页数:9
相关论文
共 50 条
  • [41] Coupled coincidence point theorems in (intuitionistic) fuzzy normed spaces
    YJ Cho
    J Martínez-Moreno
    A Roldán
    C Roldán
    Journal of Inequalities and Applications, 2013
  • [42] FIXED POINT AND COINCIDENCE POINT THEOREMS IN b-METRIC SPACES WITH APPLICATIONS
    Petrusel, Adrian
    Petrusel, Gabriela
    Yao, Jen-Chih
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2017, 11 (01) : 199 - 215
  • [43] Coincidence Point Theorems,Intersection Theorems and Saddle Point Theorems on FC-spaces
    Piao Yong-jie and Yin Zhe(Department of Mathematics
    Communications in Mathematical Research, 2009, 25 (02) : 115 - 122
  • [44] Remarks on nonconvex minimization theorems and fixed point theorems in complete D-metric spaces
    Ume, JS
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (01): : 25 - 36
  • [45] Some Coincidence Point Theorems for Nonlinear Contraction in Ordered Metric Spaces
    Wasfi Shatanawi
    Zead Mustafa
    Nedal Tahat
    Fixed Point Theory and Applications, 2011
  • [46] Coincidence point theorems in generating spaces of quasi-metric family
    Jung, JS
    Cho, YJ
    Kang, SM
    Lee, BS
    Choi, YK
    FUZZY SETS AND SYSTEMS, 2000, 116 (03) : 471 - 479
  • [47] SOME COINCIDENCE AND COMMON FIXED POINT THEOREMS IN CONE METRIC SPACES
    Malhotra, S. K.
    Shukla, S.
    Sen, R.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (02): : 64 - 71
  • [48] Coincidence and common fixed and periodic point theorems in cone metric spaces
    Yang, Seung-Kab
    Bae, Jong-Sook
    Cho, Seong-Hoon
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 170 - 177
  • [49] Some Coincidence Point Theorems for Nonlinear Contraction in Ordered Metric Spaces
    Shatanawi, Wasfi
    Mustafa, Zead
    Tahat, Nedal
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 15
  • [50] Fixed point theorems for fuzzy ψ-contractive mappings in fuzzy metric spaces
    Turkoglu, Duran
    Sangurlu, Muzeyyen
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (01) : 137 - 142