Cyclic (φ)-Contractions in Uniform Spaces and Related Fixed Point Results

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Date

2014

Journal Title

Journal ISSN

Volume Title

Publisher

Hindawi Ltd

Open Access Color

GOLD

Green Open Access

No

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Abstract

First, we define cyclic (phi)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (phi)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Hussain, Nawab/0000-0001-6585-2202; Firouzian, Siamak/0000-0002-0713-4998

Keywords

[No Keyword Available], QA1-939, Mathematics, Fixed-point theorems, Fixed-point and coincidence theorems (topological aspects), Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Fields of Science

0101 mathematics, 01 natural sciences

Citation

WoS Q

Scopus Q

Q3
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OpenCitations Citation Count
4

Source

Abstract and Applied Analysis

Volume

2014

Issue

Start Page

1

End Page

7

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CrossRef : 2

Scopus : 9

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Mendeley Readers : 2

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3.7425

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