Some Common Fixed Point Theorems in Menger PM Spaces

被引：11
|
作者：
Imdad, M. [2 ]
Tanveer, M. [1 ]
Hasan, M. [3 ]
机构：
[1] Jawaharlal Nehru Univ, Sch Comp & Syst Sci, New Delhi 110067, India
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[3] Aligarh Muslim Univ, Dept Appl Math, Aligarh 202002, Uttar Pradesh, India
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
关键词：
WEAKLY COMPATIBLE MAPPINGS; SYMMETRIC-SPACES; CONTRACTIVE CONDITIONS; COINCIDENCE; MAPS;
D O I：
10.1155/2010/819269
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Employing the common property (E.A), we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontraction condition as well as psi-type contraction condition are also proved in Menger PM spaces. Our results substantially improve the corresponding theorems contained in (Branciari, (2002); Rhoades, (2003); Vijayaraju et al., (2005)) and also some others in Menger as well as metric spaces. Some related results are also derived besides furnishing illustrative examples.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Common fixed point theorems for self-mappings in Menger PM-spaces with nonlinear contractive condition
    Siniša N. Ješić
    Rale M. Nikolić
    R. P. Pant
    Journal of Fixed Point Theory and Applications, 2018, 20
  • [22] 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
  • [23] Common fixed point theorems of compatible and weakly compatible maps in Menger spaces
    Fang, Jin-Xuan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1833 - 1843
  • [24] New multipled common fixed point theorems in Menger PMT-spaces
    Ji, Cuiru
    Zhu, Chuanxi
    Wu, Zhaoqi
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 419 - 428
  • [25] Common fixed point theorems under strict contractive conditions in Menger spaces
    Fang, Jin-xuan
    Gao, Yang
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 184 - 193
  • [26] COMMON FIXED POINT THEOREMS IN MENGER PROBABILISTIC QUASI-METRIC SPACES
    Pant, B. D.
    Abbas, Mujahid
    Chauhan, Sunny
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (03): : 34 - 42
  • [27] Common Fixed Points Theorems for Self-Mappings in Menger PM-Spaces
    Nikolic, Rale M.
    Pant, Rajandra P.
    Ristic, Vladimir T.
    Sebekovic, Aleksandar
    MATHEMATICS, 2022, 10 (14)
  • [28] Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation
    Gopal, Dhananjay
    Abbas, Mujahid
    Vetro, Calogero
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 : 955 - 967
  • [29] 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
  • [30] Fixed Point Theorems for Nonlinear Contractions in Menger Spaces
    Ume, Jeong Sheok
    ABSTRACT AND APPLIED ANALYSIS, 2011,
12345