Published December 2008 | Version v1
Journal article

Common fixed points theorems for fuzzy mappings

  • 1. Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Campus of College of Electrical and Mechanical Engineering, Peshawar Road, Rawalpindi (Pakistan)

Description

Recently, Abu-Donia [Abu-Donia HM. Common fixed points theorems for fuzzy mappings in metric space under φ contraction condition. Chaos, Solitons and Fractals 2007;34:538-43] studied the Hausdorff metric between fuzzy subsets via its correspondence between the two classical sets and established two common fixed point theorems for two fuzzy mappings which are useful in geometric problems arising in high energy physics. However, the proofs of Abu-Donia's main results are incorrect. The purpose of this paper is to present correct proofs of these results

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2008.04.031

Additional details

Identifiers

DOI
10.1016/j.chaos.2008.04.031;
PII
S0960-0779(08)00208-7;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
38
Journal Issue
5
Journal Page Range
p. 1378-1382
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40014531
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHAOS THEORY; CONTRACTION; FUZZY LOGIC; HIGH ENERGY PHYSICS; MAPPING; MATHEMATICAL SPACE; METRICS
Descriptors DEC
MATHEMATICAL LOGIC; MATHEMATICS; PHYSICS; SPACE

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.