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
  • [41] Common fixed point and coincidence point of generalized contractions in ordered metric spaces
    Ismat Beg
    Asma Rashid Butt
    Fixed Point Theory and Applications, 2012
  • [42] Common fixed point and coincidence point of generalized contractions in ordered metric spaces
    Beg, Ismat
    Butt, Asma Rashid
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [43] FIXED POINT THEOREMS FOR 1-SET CONTRACTIONS IN BANACH SPACES
    Djebali, Smail
    Hammache, Karima
    FIXED POINT THEORY, 2015, 16 (02): : 285 - 302
  • [44] Fixed point results of cyclic contractions in product spaces
    Shukla, Satish
    Abbas, Mujahid
    CARPATHIAN JOURNAL OF MATHEMATICS, 2015, 31 (01) : 119 - 126
  • [45] On φ-contractions and fixed point results in fuzzy metric spaces
    Saheli, Morteza
    Mohsenialhosseini, Seyed Ali Mohammad
    Goraghani, Hadi Saeidi
    APPLIED GENERAL TOPOLOGY, 2023, 24 (02): : 469 - 483
  • [46] Fixed Point Results for α-ψλ-Contractions on Gauge Spaces and Applications
    Jleli, Mohamed
    Karapinar, Erdal
    Samet, Bessem
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [47] Coupled Fixed Point Results in Banach Spaces with Applications
    Zada, Mian Bahadur
    Sarwar, Muhammad
    Abdeljawad, Thabet
    Mukheimer, Aiman
    MATHEMATICS, 2021, 9 (18)
  • [48] Fixed point theorems for almost contractions in partially ordered metric spaces
    Binayak S. Choudhury
    N. Metiya
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2012, 58 (1) : 21 - 36
  • [49] COMMON FIXED POINT FOR (ψ, φ)-WEAK CONTRACTIONS ON ORDERED GAUGE SPACES AND APPLICATIONS
    Ozturk, Vildan
    Turkoglu, Duran
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (03) : 473 - 483
  • [50] Fixed Point Theory of Weak Contractions in Partially Ordered Metric Spaces
    Chen, Chi-Ming
    Lee, Jin-Chirng
    Chen, Chao-Hung
    JOURNAL OF APPLIED MATHEMATICS, 2013,
12345