Fixed point theorems for rational type F-contraction

被引：2
作者：
Acar, O. [1 ]
机构：
[1] Selcuk Univ, Konya, Turkey
来源：
CARPATHIAN MATHEMATICAL PUBLICATIONS | 2021年 / 13卷 / 01期
关键词：
fixed point; multivalued mapping; F-contraction of rational type; com-plete metric space;
D O I：
10.15330/cmp.13.1.39-47
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider rational type F-contraction for multivalued integral type mapping on a complete metric space. Using Wardowski's technique, we establish the existence of a fixed point of the multivalued integral type mapping, if this mapping or the F-contraction is continuous. In the end, we give an example which shows that our result is the best.
引用
收藏
页码：39 / 47
页数：9
相关论文
共 19 条
  • [1] Acar Ö, 2014, B IRAN MATH SOC, V40, P1469
  • [2] A Fixed Point Theorem for Multivalued Mappings with δ-Distance
    Acar, Ozlem
    Altun, Ishak
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [3] Agarwal RP, 2009, TOPOL FIXED POINT TH, V6, P1, DOI 10.1007/978-0-387-75818-3_1
  • [4] Altun I, 2011, ARAB J SCI ENG, V36, P1471, DOI 10.1007/s13369-011-0135-8
  • [5] Banach S., 1922, Fund. Math, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]
  • [6] Berinde V, 2013, CREATIVE MATH INFORM, V22, P143
  • [7] Berinde V., 2003, Carpatian J. Math, V19, P7
  • [8] Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]
  • [9] GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE
    CIRIC, LB
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) : 267 - 273
  • [10] Multi-valued nonlinear contraction mappings
    Ciric, Ljubomir
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2716 - 2723
12