Results on fixed point theorems
J. Achari (1978)
Matematički Vesnik
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J. Achari (1978)
Matematički Vesnik
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Matusevich, Laura Felicia (2000)
Beiträge zur Algebra und Geometrie
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J. Achari (1979)
Publications de l'Institut Mathématique
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J. Siciak (1962)
Annales Polonici Mathematici
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Krystyna Ziętak (1974)
Applicationes Mathematicae
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Eduard Wirsing (1993)
Acta Arithmetica
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W. Szafrański (1983)
Applicationes Mathematicae
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Katarzyna Domańska (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) on components of the denition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1] and his work was followed by paper [3] of the author. The aim of the present paper is to describe local solutions of the equation considered for some singular associative rational functions.
Krystyna Ziętak (1974)
Applicationes Mathematicae
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Artur Korniłowicz, Adam Naumowicz (2016)
Formalized Mathematics
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This article formalizes the proof of Niven’s theorem [12] which states that if x/π and sin(x) are both rational, then the sine takes values 0, ±1/2, and ±1. The main part of the formalization follows the informal proof presented at Pr∞fWiki (https://proofwiki.org/wiki/Niven’s_Theorem#Source_of_Name). For this proof, we have also formalized the rational and integral root theorems setting constraints on solutions of polynomial equations with integer coefficients [8, 9].
Lutterodt, Clement H. (1981)
International Journal of Mathematics and Mathematical Sciences
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Jacinto González Pachón, Sixto Ríos-Insua (1992)
Extracta Mathematicae
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We consider the multiobjective decision making problem. The decision maker's (DM) impossibility to take consciously a preference or indifference attitude with regard to a pair of alternatives leads us to what we have called doubt attitude. So, the doubt may be revealed in a conscient way by the DM. However, it may appear in an inconscient way, revealing judgements about her/his attitudes which do not follow a certain logical reasoning. In this paper, doubt will be considered...
Gerald Myerson (1993)
Aequationes mathematicae
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L. E. Dickson (1923)
Journal de Mathématiques Pures et Appliquées
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