Fixed Point Theorems for Various Classes of Cyclic Mappings-Reference-Cited by-同舟云学术

Fixed Point Theorems for Various Classes of Cyclic Mappings

Published:2012 Issue: Volume:2012 Page:1-15
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Aydi Hassen¹,Karapınar Erdal²^ORCID,Samet Bessem³^ORCID

Affiliation:

1. Institut Supérieur d'Informatique et des Techniques de Communication de Hammam Sousse, Université de Sousse, Route GP1, 4011 Hammam Sousse, Tunisia

2. Department of Mathematics, Atilim University, 06836 Incek, Ankara, Turkey

3. Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia

Abstract

We introduce new classes of cyclic mappings and we study the existence and uniqueness of fixed points for such mappings. The presented theorems generalize and improve several existing results in the literature.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/867216.pdf

Reference34 articles.

1. Partial Hausdorff metric and Nadlerʼs fixed point theorem on partial metric spaces

2. Common fixed points of mappings satisfying implicit contractive conditions

3. On nonlinear contractions

4. A Generalization of a Fixed Point Theorem of Reich

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