Open AccessBest proximity point theorems for weak cyclic Kannan contractions
Author(s) -
Ancuţa Petric
Publication year - 2011
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1101145p
Subject(s) - mathematics , contraction (grammar) , regular polygon , banach space , contraction principle , weak convergence , point (geometry) , pure mathematics , discrete mathematics , combinatorics , fixed point theorem , geometry , computer science , medicine , computer security , asset (computer security)
In this paper we introduce the notion of weak cyclic Kannan contraction. We give some convergence and existence results for best proximity points for weak cyclic Kannan contractions in the setting of a uniformly convex Banach space.
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