Approximate Best Proximity Pairs in Metric Space
Joint Authors
Mohsenalhosseini, S. A. M.
Dehghan, M. A.
Mazaheri, H.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Let A and B be nonempty subsets of a metric space X and also T:A∪B→A∪B and T(A)⊆B, T(B)⊆A.
We are going to consider element x∈A such that d(x,Tx)≤d(A,B)+ϵ for some ϵ>0.
We call pair (A,B) an approximate best proximity pair.
In this paper, definitions of approximate best proximity pair for a map and two maps, their diameters, T-minimizing a sequence are given in a metric space.
American Psychological Association (APA)
Mohsenalhosseini, S. A. M.& Mazaheri, H.& Dehghan, M. A.. 2011. Approximate Best Proximity Pairs in Metric Space. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-483853
Modern Language Association (MLA)
Mohsenalhosseini, S. A. M.…[et al.]. Approximate Best Proximity Pairs in Metric Space. Abstract and Applied Analysis No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-483853
American Medical Association (AMA)
Mohsenalhosseini, S. A. M.& Mazaheri, H.& Dehghan, M. A.. Approximate Best Proximity Pairs in Metric Space. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-483853
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483853
