On the fixed points of nonexpansive mappings in modular metric spaces

Afrah A.N. Abdou; Mohamed A. Khamsi

doi:10.1186/1687-1812-2013-229

On the fixed points of nonexpansive mappings in modular metric spaces

Afrah A.N. Abdou^*
, Mohamed A. Khamsi

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

17 Scopus citations

Abstract

The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, have been recently introduced. In this paper we investigate the existence of fixed points of modular nonexpansive mappings. We also discuss some compactness properties of the family of admissible sets in modular metric spaces with uniform normal structure property.

Original language	English
Article number	229
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2013
DOIs	https://doi.org/10.1186/1687-1812-2013-229
State	Published - Aug 2013

Keywords

Fixed point
Modular function space
Modular metric spaces
Nonexpansive mapping
Orlicz spaces

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/1687-1812-2013-229

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abstract = "The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, have been recently introduced. In this paper we investigate the existence of fixed points of modular nonexpansive mappings. We also discuss some compactness properties of the family of admissible sets in modular metric spaces with uniform normal structure property.",

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AB - The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, have been recently introduced. In this paper we investigate the existence of fixed points of modular nonexpansive mappings. We also discuss some compactness properties of the family of admissible sets in modular metric spaces with uniform normal structure property.

KW - Fixed point

KW - Modular function space

KW - Modular metric spaces

KW - Nonexpansive mapping

KW - Orlicz spaces

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DO - 10.1186/1687-1812-2013-229

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On the fixed points of nonexpansive mappings in modular metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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