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Coincidence point results in nonconvex domains of q-normed spaces
Mohammad Saeed Khan and Hemant Kumar Nashine
Source: Funct. Approx. Comment. Math. Volume 41, Number 1
(2009), 7-13.
Abstract
Coincidence points results for families of four relatively nonexpansive mappings on nonconvex domains in $q$-normed spaces have been obtained in the present work. As applications, best approximation results have been given. These results extend and generalize previously known results to a more general class of non commuting relatively nonexpansive mappings in a~space which is not necessarily locally convex.
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Keywords: Best approximant; common fixed point; compatible maps; contractive jointly continuous family; $q$-normed space; relatively nonexpansive mappings
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.facm/1254330156
Zentralblatt MATH identifier: 05635529
Mathematical Reviews number (MathSciNet): MR2568793
Digital Object Identifier: doi:10.7169/facm/1254330156
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