Cyclic Contractions on -Metric Spaces

E. Karapınar; A. Yıldız-Ulus; İ. M. Erhan

doi:10.1155/2012/182947

Abstract and Applied Analysis (Jan 2012)

Cyclic Contractions on -Metric Spaces

E. Karapınar,
A. Yıldız-Ulus,
İ. M. Erhan

Affiliations

E. Karapınar: Department of Mathematics, Atilim University, 06836 incek, Turkey
A. Yıldız-Ulus: Department of Mathematics, Galatasaray University, 34349 Istanbul, Turkey
İ. M. Erhan: Department of Mathematics, Atilim University, 06836 incek, Turkey

DOI: https://doi.org/10.1155/2012/182947
Journal volume & issue: Vol. 2012

Abstract

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Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on -metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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