Fixed point results for enriched ordered contractions in noncommutative Banach spaces

被引:5
|
作者
Rawat, Shivam [1 ]
Kukreti, Shivani [1 ]
Dimri, R. C. [1 ]
机构
[1] HNB Garhwal Univ, Dept Math, Srinagar 246174, Uttarakhand, India
来源
JOURNAL OF ANALYSIS | 2022年 / 30卷 / 04期
关键词
Noncommutative Banach space; Enriched ordered contraction; NONEXPANSIVE-MAPPINGS;
D O I
10.1007/s41478-022-00418-w
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we acquaint with the notion of enriched ordered contractions to prove existence and uniqueness of fixed point theorems and approximation results using Krasnoselskij iteration in a convex noncommutative Banach space. An example is also constructed to indicate the relevance of our newly obtained results in comparison to some of the existing ones in the literature.
引用
收藏
页码:1555 / 1566
页数:12
相关论文
共 50 条
  • [21] Some fixed point results for weakly isotone mappings in ordered Banach spaces
    Sintunavarat, Wutiphol
    Kumam, Poom
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 826 - 834
  • [22] Fixed point results for contractions involving generalized altering distances in ordered metric spaces
    Hemant Kumar Nashine
    Bessem Samet
    Jong Kyu Kim
    Fixed Point Theory and Applications, 2011
  • [23] Common fixed-point results for nonlinear contractions in ordered partial metric spaces
    Bessem Samet
    Miloje Rajović
    Rade Lazović
    Rade Stojiljković
    Fixed Point Theory and Applications, 2011
  • [24] Fixed point results for contractions involving generalized altering distances in ordered metric spaces
    Nashine, Hemant Kumar
    Samet, Bessem
    Kim, Jong Kyu
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [25] Common fixed-point results for nonlinear contractions in ordered partial metric spaces
    Samet, Bessem
    Rajovic, Miloje
    Lazovic, Rade
    Stojiljkovic, Rade
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 14
  • [26] Generalized fixed point results of rational type contractions in partially ordered metric spaces
    N. Seshagiri Rao
    K. Kalyani
    BMC Research Notes, 14
  • [27] Generalized fixed point results of rational type contractions in partially ordered metric spaces
    Rao, N. Seshagiri
    Kalyani, K.
    BMC RESEARCH NOTES, 2021, 14 (01)
  • [28] FIXED-POINT THEOREMS FOR SEMIDIFFERENTIABLE K-SET-CONTRACTIONS IN ORDERED BANACH-SPACES
    PETRYSHYN, WV
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 133 (02) : 297 - 305
  • [29] Novel fixed point results for a class of enriched nonspreading mappings in real Banach spaces
    Razzaque, Asima
    Agwu, Imo Kalu
    Saleem, Naeem
    Igbokwe, Donatus Ikechi
    Aphane, Maggie
    AIMS MATHEMATICS, 2025, 10 (02): : 3884 - 3909
  • [30] Fixed Point Results in Cone Banach Spaces
    Develi, Faruk
    Yildirim, Isa
    7TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2018), 2018, 2037