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Annals of the Alexandru Ioan Cuza University - Mathematics

The Journal of "Alexandru Ioan Cuza" University from Iasi

Editor-in-Chief: Oniciuc, Cezar

2 Issues per year


CiteScore 2016: 0.34

SCImago Journal Rank (SJR) 2016: 0.231
Source Normalized Impact per Paper (SNIP) 2016: 0.488

Mathematical Citation Quotient (MCQ) 2015: 0.10

Open Access
Online
ISSN
1221-8421
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Fixed Point Theorems for Set-Valued Mappings under Contractive Condition in Quasi-Metric Spaces

M. Eshaghi Gordji / S. Mohseni Kolagar / Y.J. Cho / H. Baghani
Published Online: 2015-03-04 | DOI: https://doi.org/10.1515/aicu-2015-0015

Abstract

In this paper, we introduce the concept of a generalized weak contraction for set-valued mappings defined on quasi-metric spaces. We show the existence of fixed points for generalized weakly contractive set-valued mappings. Indeed, we have a generalization of Nadler’s fixed point theorem and Banach’s fixed point theorem in quasi-metric spaces and, further, investigate the convergence of iterate scheme of the form xn+1 ∈ Fxn with error estimates.

Keywords: quasi-metric space; Smyth-complete; left K-complete; left K-Cauchy sequence; weakly contraction; generalized weakly contraction

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About the article

Received: 2011-12-12

Revised: 2012-07-19

Accepted: 2012-11-12

Published Online: 2015-03-04


Citation Information: Annals of the Alexandru Ioan Cuza University - Mathematics, ISSN (Online) 1221-8421, DOI: https://doi.org/10.1515/aicu-2015-0015.

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© Alexandru Ioan Cuza University in Iaşi . This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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