Some common fixed-point and invariant approximation results with generalized almost contractions

被引：8
|
作者：
Rathee, Savita [1 ]
Kumar, Anil [1 ]
机构：
[1] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India
来源：
FIXED POINT THEORY AND APPLICATIONS | 2014年
关键词：
best approximation; Banach operator pair; generalized almost contraction; property (N); jointly continuous contractive family; BANACH OPERATOR PAIRS; NONEXPANSIVE-MAPPINGS; CIRIC-TYPE; THEOREMS;
D O I：
10.1186/1687-1812-2014-23
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the concept of a generalized almost (f,g)-contraction is introduced and we establish some common fixed-point results for the noncommuting generalized almost (f,g)-contraction in the setup of metric spaces and normed linear spaces, where the set of fixed points of f and g need not be starshaped. As applications, invariant approximation results are proved. Supporting examples are also given.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Some common fixed-point and invariant approximation results with generalized almost contractions
    Savita Rathee
    Anil Kumar
    Fixed Point Theory and Applications, 2014
  • [2] COMMON FIXED POINT AND APPROXIMATION RESULTS FOR GENERALIZED φ-CONTRACTIONS
    Hussain, N.
    Berinde, V.
    Sbafqat, N.
    FIXED POINT THEORY, 2009, 10 (01): : 111 - 124
  • [3] On Fixed-Point Results of Generalized Contractions
    Kanwal, Shazia
    Hanif, Umair
    Noorwali, Maha Eshaq
    Alam, Md. Ashraful
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [4] Generalized Fixed-Point Results for Almost (α, Fσ)-Contractions with Applications to Fredholm Integral Inclusions
    Al-Mezel, Saleh Abdullah
    Ahmad, Jamshaid
    SYMMETRY-BASEL, 2019, 11 (09):
  • [5] On some fixed-point theorems for generalized contractions and their perturbations
    Borkowski, Marcin
    Bugajewski, Dariusz
    Zima, Miroslawa
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 367 (02) : 464 - 475
  • [6] Common fixed point and approximation results for generalized (f, g)-weak contractions
    Akbar, Farhana
    Khan, Abdul Rahim
    Sultana, Nazra
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [7] Common fixed point and approximation results for generalized (f, g)-weak contractions
    Farhana Akbar
    Abdul Rahim Khan
    Nazra Sultana
    Fixed Point Theory and Applications, 2012
  • [8] Common fixed point and invariant approximation results
    Kutbi, Marwan A.
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [9] Common fixed point and invariant approximation results
    Abbas, Mujahid
    Kim, Jong Kyu
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (03) : 537 - 545
  • [10] Common fixed point and invariant approximation results
    Marwan A Kutbi
    Fixed Point Theory and Applications, 2013
12345