SATURATED VERSIONS OF SOME FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIONS

被引：2
|
作者：
Tongnoi, Buris [1 ,2 ]
机构：
[1] Naresuan Univ, Dept Math, Fac Sci, Mueang Phitsanulok Dist, Thailand
[2] Chiang Mai Univ, Grad PhD Program Math, Dept Math, Fac Sci, Chiang Mai 50200, Thailand
来源：
FIXED POINT THEORY | 2020年 / 21卷 / 02期
关键词：
Fixed point; complete metric space; Hardy-Rogers type operators; Ciric type operators; well-posed property; Ostrowski property; quasi-contraction;
D O I：
10.24193/fpt-ro.2020.2.54
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will give extended versions of two standard fixed point principles: one for Hardy-Rogers type operators and the other one for Ciric type operators in complete metric space. Our results generalize similar theorems given in [9].
引用
收藏
页码：755 / 766
页数：12
相关论文
共 50 条
  • [1] 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
  • [2] GENERALIZED CONTRACTIONS AND FIXED-POINT THEOREMS
    WONG, CS
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 42 (02) : 409 - 417
  • [3] Remarks on the generalized interpolative contractions and some fixed-point theorems with application
    Nazam, Muhammad
    Lashin, Maha M. A.
    Hussain, Aftab
    Al Sulami, Hamed H.
    OPEN MATHEMATICS, 2022, 20 (01): : 845 - 862
  • [4] Some Fixed Point Theorems for Pointwise Contractions
    Javidzadeh, H.
    Haddadi, M. R.
    JOURNAL OF MATHEMATICAL EXTENSION, 2011, 5 (02) : 93 - 100
  • [5] Multivalued Fixed Point Theorems for Generalized Contractions and Their Applications
    Shoaib, Muhammad
    Sarwar, Muhammad
    JOURNAL OF MATHEMATICS, 2016, 2016
  • [6] Common Fixed Point Theorems for Generalized Contractions Mappings
    Chandok, Sumit
    THAI JOURNAL OF MATHEMATICS, 2018, 16 (02): : 305 - 314
  • [7] Common fixed point theorems for generalized orthogonal contractions
    Ozturk, Vildan
    FILOMAT, 2024, 38 (05) : 1859 - 1867
  • [8] FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIONS WITH APPLICATIONS TO COUPLED FIXED POINT THEORY
    Petrusel, Adrian
    Petrusel, Gabriela
    Xiao, Yi-Bin
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (01) : 71 - 88
  • [9] SOME LOCAL FIXED POINT THEOREMS FOR GENERALIZED MULTI-VALUED CONTRACTIONS WITH APPLICATIONS
    Petrusel, Adrian
    Trusca, Radu
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (12) : 2835 - 2845
  • [10] Some common fixed point theorems for strict contractions
    Ahmed, Mohamed A.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 1445 - 1450
12345