Inequalities in metric spaces with applications

M. A. Khamsi; A. R. Khan

doi:10.1016/j.na.2011.03.034

Inequalities in metric spaces with applications

M. A. Khamsi
, A. R. Khan

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

78 Scopus citations

Abstract

Analogues of the parallelogram identity and the (CN) inequality of Bruhat and Tits in uniformly convex metric spaces are established. As an application of the new inequalities, we prove two fixed point results for single-valued and multi-valued Lipschitzian mappings.

Original language	English
Pages (from-to)	4036-4045
Number of pages	10
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	12
DOIs	https://doi.org/10.1016/j.na.2011.03.034
State	Published - Aug 2011

Keywords

Best approximant
Fixed point
Hyperbolic metric space
Inequality
Nonexpansive mapping
Uniformly Lipschitzian mapping
Uniformly convex metric space

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2011.03.034

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@article{e920b817f5104806aa62044be6df2853,

title = "Inequalities in metric spaces with applications",

abstract = "Analogues of the parallelogram identity and the (CN) inequality of Bruhat and Tits in uniformly convex metric spaces are established. As an application of the new inequalities, we prove two fixed point results for single-valued and multi-valued Lipschitzian mappings.",

keywords = "Best approximant, Fixed point, Hyperbolic metric space, Inequality, Nonexpansive mapping, Uniformly Lipschitzian mapping, Uniformly convex metric space",

author = "Khamsi, \{M. A.\} and Khan, \{A. R.\}",

year = "2011",

month = aug,

doi = "10.1016/j.na.2011.03.034",

language = "English",

volume = "74",

pages = "4036--4045",

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

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number = "12",

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T1 - Inequalities in metric spaces with applications

AU - Khamsi, M. A.

AU - Khan, A. R.

PY - 2011/8

Y1 - 2011/8

N2 - Analogues of the parallelogram identity and the (CN) inequality of Bruhat and Tits in uniformly convex metric spaces are established. As an application of the new inequalities, we prove two fixed point results for single-valued and multi-valued Lipschitzian mappings.

AB - Analogues of the parallelogram identity and the (CN) inequality of Bruhat and Tits in uniformly convex metric spaces are established. As an application of the new inequalities, we prove two fixed point results for single-valued and multi-valued Lipschitzian mappings.

KW - Best approximant

KW - Fixed point

KW - Hyperbolic metric space

KW - Inequality

KW - Nonexpansive mapping

KW - Uniformly Lipschitzian mapping

KW - Uniformly convex metric space

UR - https://www.scopus.com/pages/publications/79955764038

U2 - 10.1016/j.na.2011.03.034

DO - 10.1016/j.na.2011.03.034

M3 - Article

AN - SCOPUS:79955764038

SN - 0362-546X

VL - 74

SP - 4036

EP - 4045

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 12

ER -

Inequalities in metric spaces with applications

Abstract

Keywords

ASJC Scopus subject areas

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