KKM mappings in metric type spaces

M. A. Khamsi; N. Hussain

doi:10.1016/j.na.2010.06.084

KKM mappings in metric type spaces

M. A. Khamsi
, N. Hussain

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

232 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	3123-3129
Number of pages	7
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	73
Issue number	9
DOIs	https://doi.org/10.1016/j.na.2010.06.084
State	Published - 1 Nov 2010

Keywords

Admissible set
Approximate fixed point property
Cone metric space
Fixed point
KKM property
Totally bounded

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2010.06.084

Cite this

@article{5ef035b071b04d00a560fef684035a72,

title = "KKM mappings in metric type spaces",

abstract = "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.",

keywords = "Admissible set, Approximate fixed point property, Cone metric space, Fixed point, KKM property, Totally bounded",

author = "Khamsi, \{M. A.\} and N. Hussain",

year = "2010",

month = nov,

day = "1",

doi = "10.1016/j.na.2010.06.084",

language = "English",

volume = "73",

pages = "3123--3129",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

number = "9",

}

TY - JOUR

T1 - KKM mappings in metric type spaces

AU - Khamsi, M. A.

AU - Hussain, N.

PY - 2010/11/1

Y1 - 2010/11/1

N2 - 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.

AB - 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.

KW - Admissible set

KW - Approximate fixed point property

KW - Cone metric space

KW - Fixed point

KW - KKM property

KW - Totally bounded

UR - https://www.scopus.com/pages/publications/77955654993

U2 - 10.1016/j.na.2010.06.084

DO - 10.1016/j.na.2010.06.084

M3 - Article

AN - SCOPUS:77955654993

SN - 0362-546X

VL - 73

SP - 3123

EP - 3129

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 9

ER -

KKM mappings in metric type spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this