Caristi type hybrid fixed point theorems in menger probabilistic metric space

被引:0
作者
Chuan S. [1 ]
机构
[1] Department of Applied Mathematics, Nanjing University of Science and Technology
关键词
Caristi's fixed point theorem; Common hybrid fixed point; Hybrid fixed point; Menger space; Probabilistic metric space;
D O I
10.1007/BF02458020
中图分类号
学科分类号
摘要
This paper brings forward the concept of Caristi type hybrid fixed point in M-PM-space, by giving two hybrid fixed point theorems and two common hybrid fixed point theorems of sequences of set-valued mappings, the theorems improve and generalize the Caristi's fixed point and correspond to recent important results.
引用
收藏
页码:201 / 209
页数:8
相关论文
共 50 条
  • [41] Common fixed point theorems under strict contractive conditions in Menger spaces
    Fang, Jin-xuan
    Gao, Yang
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 184 - 193
  • [42] Some metrics on Menger spaces and a characterization of probabilistic contractions having a fixed point
    Radu, V
    [J]. FIXED POINT THEORY AND APPLICATIONS, VOL 2, 2001, : 53 - 60
  • [43] A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces
    Hadzic, O
    Pap, E
    [J]. FUZZY SETS AND SYSTEMS, 2002, 127 (03) : 333 - 344
  • [44] ON FIXED-POINT THEOREMS IN FUZZY METRIC-SPACES
    FANG, JX
    [J]. FUZZY SETS AND SYSTEMS, 1992, 46 (01) : 107 - 113
  • [45] Common Fixed Point Theorems for Occasionally Weakly Compatible Mappings in Menger Spaces and Applications
    Pant, B. D.
    Chauhan, S.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (02): : 13 - 23
  • [46] Common fixed point theorem for six self mappings in Menger space
    Liu, Xiao-lan
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 404 (02) : 351 - 361
  • [47] Common Fixed Points for PD - Operator on Probabilistic Metric Space
    Bhatt, Arvind
    [J]. GAZI UNIVERSITY JOURNAL OF SCIENCE, 2015, 28 (03): : 457 - 463
  • [48] COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES
    Sharma, Sushil
    Deshpande, Bhavana
    Tiwari, Rashmi
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (02): : 135 - 151
  • [49] Common fixed point theorems for multi-valued mappings in Menger PM-spaces
    Zhang, FR
    Kang, SM
    Shim, SH
    [J]. FIXED POINT THEORY AND APPLICATIONS, VOL 4, 2003, : 213 - 219
  • [50] Fixed Point Theorem With The CLR's Property and OWC Mappings in Menger Space
    Satyanna, K.
    Srinvas, V
    [J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2021, 12 (03): : 499 - 508