Common fixed point theorems for maps under a contractive condition of integral type

被引：20
|
作者：
Djoudi, A. [1 ]
Merghadi, R. [1 ]
机构：
[1] Univ Annaba, Lab Math Appl, Fac Sci, Dept Math, Annaba 23000, Algeria
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 341卷 / 02期
关键词：
weakly compatible maps; common fixed point; contractive condition of integral type;
D O I：
10.1016/j.jmaa.2007.10.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two common fixed point theorems for mapping of complete metric space under a general contractive inequality of integral type and satisfying minimal commutativity conditions are proved. These results extend and improve several previous results, particularly Theorem 4 of Rhoades [B.E. Rhoades, Two fixed point theorems for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci. 63 (2003) 4007-4013] and Theorem 4 of Sessa [S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. lust. Math. (Beograd) (N.S.) 32 (46) (1982) 149-153]. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：953 / 960
页数：8
相关论文
共 50 条
  • [31] Generalized α-ψ-contractive type mappings of integral type and related fixed point theorems
    Erdal Karapınar
    Priya Shahi
    Kenan Tas
    [J]. Journal of Inequalities and Applications, 2014
  • [32] SOME FIXED POINT THEOREMS FOR CONTRACTIVE CONDITION OF INTEGRAL TYPE IN INTUITIONISTIC GENERALIZED FUZZY METRIC SPACES
    Pazhani, V
    Vinoba, V.
    Jeyaraman, M.
    [J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2019, 18 (11): : 1453 - 1476
  • [33] Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type
    Djoudi, A.
    Aliouche, A.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 31 - 45
  • [34] Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications
    Zhang, Fengrong
    Zhang, Xiangshuai
    Hao, Yan
    [J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [35] Common fixed points of self maps satisfying an integral type contractive condition in fuzzy metric spaces
    Murthy, Penumarthy Parvateesam
    Kumar, Sanjay
    Tas, Kenan
    [J]. MATHEMATICAL COMMUNICATIONS, 2010, 15 (02) : 521 - 537
  • [36] Common fixed point theorems for a pair of orbitally contractive type mappings
    Zhang, SY
    Wang, L
    Shim, SH
    Kang, SM
    [J]. FIXED POINT THEORY AND APPLICATIONS, VOL 5, 2004, : 191 - 195
  • [37] GREGUS TYPE FIXED POINT THEOREMS FOR WEAKLY SUBSEQUENTIALLY CONTINUOUS MAPPINGS SATISFYING STRICT CONTRACTIVE CONDITION OF INTEGRAL TYPE
    Beloul, Said
    Chauhan, Sunny
    [J]. MATEMATICHE, 2016, 71 (02): : 3 - 15
  • [38] Fixed point theorems for weakly contractive multivalued maps
    Bae, JS
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 284 (02) : 690 - 697
  • [39] On Fixed Point Theorems for Contractive Mappings of Integral Type with w-distance
    Liu, Zeqing
    Hou, Feifei
    Kang, Shin Min
    Ume, Jeong Sheok
    [J]. FILOMAT, 2017, 31 (06) : 1515 - 1528
  • [40] COMMON FIXED POINT THEOREMS FOR RATIONALLY CONTRACTIVE MAPS IN COMPLEX VALUED METRIC SPACE
    Rani, Poonam
    Saxena, Arti
    Gautam, Pragati
    [J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 20 (07): : 1319 - 1328
12345