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2011, vol. 15, iss. 2, pp. 69-71
A question of priority regarding a fixed point theorem in a Cartesian product of metric spaces
University of Belgrade, Faculty of Mathematics, Serbia
Keywords: Kuratowski's problem; fixed points; Cartesian product; complete metric spaces; Cauchy's sequence; Banach's principle of contraction
We prove that a result of Ćirić and Prešić [Acta Math. Univ. Comenianae, 76 (2007), 143-147, Theorem 2, p. 144] has been for the first time proved before 31 years in Tasković [Publ. Inst. Math., 34 (1976), 231-242, Theorem 3, p. 238]. But the authors neglected and ignored this historical fact.
Brown, R.F. (1982) The fixed point property and Cartesian products. American Mathematical Monthly, 89(9): 654
Ćirić, Lj.B., Prešić, S.B. (2007) On Prešic type generalization of the Banach contraction mapping principle. Acta Math. Univ. Comenianae, 76, 2, 143-147
Tasković, M.R. (1976) Some results in the fixed point theory. Publications de l'Institut mathematique, 34, 231-242
Tasković, M.R. (1977) On the convergence of certain sequences and some applications - II. Publ. Inst. Math., Beograd, 22, 271-281
Tasković, M.R. (1975) Einige Abbildungen vom β-typus (der Fixpunkt). Publ. Inst. Math, 18, 32, 197-206
Tasković, M.R. (1986) Osnove teorije fiksne tačke. Beograd: Mat. Biblioteka
Tasković, M.R. (1993) Nonlinear functional analysis: Fundamental elements of theory. Beograd: Zavod za udžbenike i nastavna sredstva, part I, vol. 1, 713-752


article language: English
document type: unclassified
DOI: 10.5937/MatMor1102069T
published in SCIndeks: 27/03/2012

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