KANNAN FIXED POINT THEOREM IN C-METRIC SPACE

被引:0
|
作者
Lateef, Durdana [1 ]
机构
[1] Taibah Univ, Coll Sci, Dept Math, Al Madina Al Munawara 41411, Saudi Arabia
来源
JOURNAL OF MATHEMATICAL ANALYSIS | 2019年 / 10卷 / 05期
关键词
Fixed Point; Controlled Metric Spaces; Kannan type contraction; MAPPINGS; CONTRACTIONS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this article is to define Kannan type contraction in the setting of controlled metric space and establish some contemporary fixed point theorems. These results extend several familiar results of literature. An example and certain consequences are presented to illustrate significance of established results.
引用
收藏
页码:34 / 40
页数:7
相关论文
共 50 条
  • [41] Banach’s fixed point theorem, Ćirić’s and Kannan’s are equivalent via redefining the metric
    Jenjira Puiwong
    Satit Saejung
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
  • [42] ON A FIXED POINT THEOREM FOR A CYCLICAL KANNAN-TYPE MAPPING
    Chakraborty, Mitropam
    Samanta, Syamal Kumar
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2013, 28 (02): : 179 - 188
  • [43] Research article A new type of Kannan's fixed point theorem in strong b- metric spaces
    Doan, Hieu
    AIMS MATHEMATICS, 2021, 6 (07): : 7895 - 7908
  • [44] Fixed point theorem and iterated function system in φ-metric modular space
    Acharjee, Bikramjit
    Prasad, M. Guru Prem
    FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2024, 2024 (01):
  • [45] Fixed Point Theorem in Fuzzy Metric Space Via α-Series Contraction
    Sihag, Vizender
    Dinesh
    Vinod
    MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018, 2020, 306 : 151 - 159
  • [46] Fixed point theorem using contraction in complete multiplicative metric space
    Mohanraj, R. D.
    Rajesh, C.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2025, 20 (01): : 95 - 99
  • [47] A FIXED POINT THEOREM OF ALTERNATIVE FOR CONTRACTIONS ON A GENERALIZED COMPLETE METRIC SPACE
    DIAZ, JB
    MARGOLIS, B
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (02) : 305 - &
  • [48] FIXED POINT THEOREM WITH A PAIR (α, ρ) CONTRACTION IN F-METRIC SPACE
    Chauhan , Surjeet Singh
    Jyotsna
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2020, 19 (09): : 917 - 927
  • [49] A FIXED-POINT THEOREM FOR DENSIFYING MAPPING IN COMPLETE METRIC SPACE
    PANDE, RK
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1990, 21 (04): : 347 - 349
  • [50] COMMON FIXED POINT THEOREM IN CONE METRIC SPACE FOR RATIONAL CONTRACTIONS
    Uthayakumar, R.
    Prabakar, G. Arockia
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2013, 3 (02): : 112 - 118