Opuscula Mathematica
Opuscula Math. 33, no. 3 (2013), 455-465

Periodic solutions in multivariate invariance arguments

Jacek Chudziak
Sebastian Wójcik
Abstract. Inspired by the recent results of A. E. Abbas we determine continuous multivariate utility functions invariant with respect to a wide family of transformations related to the shift transformations.
Keywords: multivariate utility function, invariance, periodic solution, additive function, exponential function.
Mathematics Subject Classification: 39B22, 91B16.
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About the authors ▼
Jacek Chudziak
University of Rzeszów, Department of Mathematics, Rejtana 16 C, 35-959 Rzeszów, Poland
Sebastian Wójcik
University of Rzeszów, Department of Mathematics, Rejtana 16 C, 35-959 Rzeszów, Poland
About the article ▼
Received: 2012-10-10.
Revised: 2013-01-14.
Accepted: 2013-02-01.
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Jacek Chudziak, Sebastian Wójcik, Periodic solutions in multivariate invariance arguments, Opuscula Math. 33, no. 3 (2013), 455-465, http://dx.doi.org/10.7494/OpMath.2013.33.3.455.
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