KKM mappings in metric type spaces

被引：202
|
作者：
Khamsi, M. A. [1 ,2 ]
Hussain, N. [3 ]
机构：
[1] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 09期
关键词：
KKM property; Fixed point; Cone metric space; Admissible set; Totally bounded; Approximate fixed point property; FIXED-POINT THEOREMS; PROPERTY;
D O I：
10.1016/j.na.2010.06.084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we discuss some recent results about KKM mappings in cone metric spaces. We also discuss the fixed point existence results of multivalued mappings defined on such metric spaces. In particular we show that most of the new results are merely copies of the classical ones and do not necessitate the underlying Banach space nor the associated cone. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3123 / 3129
页数：7
相关论文
共 50 条
  • [41] GENERALIZED PRESIC TYPE MAPPINGS IN ORDER-b-METRIC SPACES
    Ali, Muhammad Usman
    Fahimuddin
    Postolache, Mihai
    JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 10 (03): : 1 - 13
  • [42] G-β-ψ-contractive type mappings in G-metric spaces
    Alghamdi, Maryam A.
    Karapinar, Erdal
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [43] Mappings of Generalized Condensing Type in Metric Spaces with Busemann Convex Structure
    Gabeleh, Moosa
    Kunzi, Hans-Peter A.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2020, 46 (05) : 1465 - 1483
  • [44] COMPATIBLE MAPPINGS OF TYPE (beta) AND WEAK COMPATIBILITY IN FUZZY METRIC SPACES
    Jain, Shobha
    Jain, Shishir
    Jain, Lal Bahadur
    MATHEMATICA BOHEMICA, 2009, 134 (02): : 151 - 164
  • [45] Mappings of Generalized Condensing Type in Metric Spaces with Busemann Convex Structure
    Moosa Gabeleh
    Hans-Peter A. Künzi
    Bulletin of the Iranian Mathematical Society, 2020, 46 : 1465 - 1483
  • [46] S-γ-φ-φ-contractive type mappings in S-metric spaces
    Zhou, Mi
    Liu, Xiao-Lan
    Radenovic, Stojan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1613 - 1639
  • [47] Multivalued Caristi'S Type Mappings in Fuzzy Metric Spaces and a Characterization of Fuzzy Metric Completeness
    Abbas, Mujahid
    Ali, Basit
    Romaguera, Salvador
    FILOMAT, 2015, 29 (06) : 1217 - 1222
  • [48] Quasihyperbolic mappings in length metric spaces
    Zhou, Qingshan
    Li, Yaxiang
    He, Yuehui
    COMPTES RENDUS MATHEMATIQUE, 2021, 359 (03) : 237 - 247
  • [49] On Equicontinuous Families of Mappings of Metric Spaces
    E. A. Sevost’yanov
    S. O. Skvortsov
    E. A. Petrov
    Ukrainian Mathematical Journal, 2021, 72 : 1634 - 1649
  • [50] ON PROXIMILY OPEN MAPPINGS OF METRIC SPACES
    POLYAKOV, VZ
    DOKLADY AKADEMII NAUK SSSR, 1969, 186 (05): : 1012 - &
12345