Unique fixed point theorems in partially ordered metric spaces

被引：14
作者：
Rao, N. Seshagiri [1 ]
Kalyani, K. [2 ]
机构：
[1] Adama Sci & Technol Univ, Sch Appl Nat Sci, Dept Appl Math, Post Box 1888, Adama, Ethiopia
[2] Vignans Fdn Sci Technol & Res, Dept Math, Vadlamudi 522213, Andhra Pradesh, India
来源：
HELIYON | 2020年 / 6卷 / 11期
关键词：
Mathematics; Partially ordered metric spaces; Rational contractions; Fixed point; CONTRACTIVE MAPPING THEOREMS; GENERALIZED CONTRACTIONS; SETS; OPERATORS;
D O I：
10.1016/j.heliyon.2020.e05563
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we establish some fixed point results of a mapping satisfying certain rational type contractive conditions in the frame work of a metric space endowed with partial order. Our results generalize and extend the result of Singh and Chatterjee (1988) [7] in partially ordered metric spaces and some existing results in the literature. Few illustrative examples are given to support our results.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Remarks on: "Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces
    Fabiano, Nicola
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2022, 15 (01): : 13 - 16
  • [22] On coupled fixed point theorems on partially ordered G-metric spaces
    Karapinar, Erdal
    Kaymakcalan, Billur
    Tas, Kenan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [23] GENERALIZED DISTANCE AND FIXED POINT THEOREMS IN PARTIALLY ORDERED PROBABILISTIC METRIC SPACES
    Saadati, Reza
    MATEMATICKI VESNIK, 2013, 65 (01): : 82 - 93
  • [24] QUADRUPLE FIXED POINT THEOREMS FOR NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED METRIC SPACES
    Karapinar, Erdal
    Berinde, Vasile
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2012, 6 (01): : 74 - 89
  • [25] Multidimensional fixed point theorems for isotone mappings in partially ordered metric spaces
    Shuang Wang
    Fixed Point Theory and Applications, 2014
  • [26] Triple fixed point theorems via α-series in partially ordered metric spaces
    Vats, Ramesh Kumar
    Tas, Kenan
    Sihag, Vizender
    Kumar, Amit
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [27] Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
    Lakshmikantham, V.
    Ciric, Ljubomir
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) : 4341 - 4349
  • [28] Fixed point theorems in generalized partially ordered G-metric spaces
    Saadati, R.
    Vaezpour, S. M.
    Vetro, P.
    Rhoades, B. E.
    MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (5-6) : 797 - 801
  • [29] Coupled fixed point theorems on partially ordered G-metric spaces
    Karapinar, Erdal
    Kumam, Poom
    Erhan, Inci M.
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [30] Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
    Kadelburg, Zoran
    Pavlovic, Mirjana
    Radenovic, Stojan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (09) : 3148 - 3159
12345