Coupled fixed points for Chatterjea type maps with the mixed monotone property in partially ordered metric spaces

被引：2
|
作者：
Hristov, Miroslav [1 ]
Ilchev, Atanas [2 ]
Zlatanov, Boyan [2 ]
机构：
[1] Konstantin Preslavsky Univ Shumen, 115 Univ Str, Shumen 9712, Bulgaria
[2] Plovdiv Univ Paisii Hilendarski, Fac Math & Informat, Tsar Assen 24, Plovdiv 4000, Bulgaria
来源：
PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'19) | 2019年 / 2172卷
关键词：
THEOREMS; MAPPINGS;
D O I：
10.1063/1.5133531
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We apply generalization of Ekeland's variational principle in partially ordered complete metric spaces on sets defined by maps with the mix monotone property to obtain sufficient conditions for the existence of coupled fixed points for Chatterjea type of maps. If in addition every ordered pair of elements from the underlying space, considered as an element of the produced space endowed with the classical sum metric, has an upper or lower bound then the coupled fixed point is unique one.
引用
收藏
页数：5
相关论文
共 50 条
  • [21] Mixed g-monotone property and quadruple fixed point theorems in partially ordered metric spaces
    Zead Mustafa
    Hassen Aydi
    Erdal Karapinar
    Fixed Point Theory and Applications, 2012
  • [22] Mixed monotone property and tripled fixed point theorems in partially ordered bipolar-metric spaces
    Kishore, G. N., V
    Rao, B. Srinuvasa
    Rao, R. Subba
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42): : 598 - 615
  • [23] Tripled Fixed Points, Obtained by Ran-Reunrings Theorem for Monotone Maps in Partially Ordered Metric Spaces
    Ali, Aynur
    Dinkova, Cvetelina
    Ilchev, Atanas
    Kulina, Hristina
    Zlatanov, Boyan
    MATHEMATICS, 2025, 13 (05)
  • [24] COUPLED FIXED POINT THEOREMS FOR MONOTONE MAPPINGS IN PARTIALLY ORDERED METRIC SPACES
    Stojan Radenovic
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2014, 38 (02): : 249 - 257
  • [25] Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces
    Gordji, Madjid Eshaghi
    Akbartabar, Esmat
    Cho, Yeol Je
    Ramezani, Maryam
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [26] Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces
    Madjid Eshaghi Gordji
    Esmat Akbartabar
    Yeol Je Cho
    Maryam Ramezani
    Fixed Point Theory and Applications, 2012
  • [27] Coupled fixed point theorems for mixed g-monotone mappings in partially ordered metric spaces
    Turkoglu, Duran
    Sangurlu, Muzeyyen
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [28] Coupled fixed point theorems for mixed g-monotone mappings in partially ordered metric spaces
    Duran Turkoglu
    Muzeyyen Sangurlu
    Fixed Point Theory and Applications, 2013
  • [29] Fixed points and coupled fixed points in partially ordered nu-generalized metric spaces
    Abtahi, Mortaza
    Kadelburg, Zoran
    Radenovic, Stojan
    APPLIED GENERAL TOPOLOGY, 2018, 19 (02): : 189 - 201
  • [30] On Coupled Common Fixed Point Theorems for Nonlinear Contractions with the Mixed Weakly Monotone Property in Partially Ordered S-Metric Spaces
    Zhou, Mi
    Liu, Xiao-Lan
    JOURNAL OF FUNCTION SPACES, 2016, 2016
12345