Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces

被引:0
|
作者
Berinde, Vasile [1 ,2 ]
机构
[1] Tehn Univ Cluj Napoca, North Univ Ctr Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430122, Romania
[2] Acad Romanian Scientists, 3 Ilfov, Bucharest 050044, Romania
关键词
quasi-Banach space; quasi-norm; b-metric; contraction; fixed point; Krasnoselskij iteration; NONEXPANSIVE-MAPPINGS; THEOREMS;
D O I
10.37193/CJM.2024.02.03
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the previous results for enriched contractions defined on Banach spaces [Berinde, V.; Pacurar, M. Approximating fixed points of enriched contractions in Banach spaces. J. Fixed Point Theory Appl. 22 (2020), no. 2, Paper No. 38, 10 pp.]. The theoretical results are illustrated by means of an appropriate example of enriched contraction on a quasi-Banach space which is not a Banach space and thus show that our new results are effective generalizations of the previous ones in literature.
引用
收藏
页码:263 / 274
页数:12
相关论文
共 50 条
  • [31] On the Properties of Quasi-Banach Function Spaces
    Nekvinda, Ales
    Pesa, Dalimil
    JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (08)
  • [32] Stochastic integration in quasi-Banach spaces
    Cioica-Licht, Petru A.
    Cox, Sonja G.
    Veraar, Mark C.
    STUDIA MATHEMATICA, 2023, 269 (01) : 1 - 64
  • [33] Lipschitz structure of quasi-Banach spaces
    Albiac, F.
    Kalton, N. J.
    ISRAEL JOURNAL OF MATHEMATICS, 2009, 170 (01) : 317 - 335
  • [34] ON INTERPOLATION OF SOME QUASI-BANACH SPACES
    MASTYLO, M
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 147 (02) : 403 - 419
  • [35] Lipschitz structure of quasi-Banach spaces
    F. Albiac
    N. J. Kalton
    Israel Journal of Mathematics, 2009, 170
  • [36] BANACH ENVELOPES OF SOME INTERPOLATION QUASI-BANACH SPACES
    MASTYLO, M
    LECTURE NOTES IN MATHEMATICS, 1988, 1302 : 321 - 329
  • [37] Fixed point results for enriched ordered contractions in noncommutative Banach spaces
    Rawat, Shivam
    Kukreti, Shivani
    Dimri, R. C.
    JOURNAL OF ANALYSIS, 2022, 30 (04): : 1555 - 1566
  • [38] APPROXIMATING FIXED POINTS OF ENRICHED QUASINONEXPANSIVE MAPPINGS IN BANACH SPACES
    Shahzad, Naseer
    Alansari, Monairah
    Albideewi, Ashwaq
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (07) : 1791 - 1802
  • [39] An iterative method of fixed points for closed and quasi-strict pseudo-contractions in Banach spaces
    Zhou H.
    Gao X.
    Journal of Applied Mathematics and Computing, 2010, 33 (1-2) : 227 - 237
  • [40] Fixed point results for enriched ordered contractions in noncommutative Banach spaces
    Shivam Rawat
    Shivani Kukreti
    R. C. Dimri
    The Journal of Analysis, 2022, 30 : 1555 - 1566