Advances in Functional Equations and Convex Analysis
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: closed (31 October 2023) | Viewed by 6720
Special Issue Editor
Interests: existence and properties of solutions of various functional equations and inequalities in different function spaces under the weakest possible regularity conditions; conditional and alternative functional equations and inequalities; applications of methods of the theory of functional equations in dealing with some special problems from geometry, algebra, and functional analysis; measure theory and probability theory; Hyers-Ulam stability of functional equations and inequalities; characterization of mappings via functional equations; analogies between measure and category and their generalizations; theory of mean values; some special problems in the theory of functional equations in a single variable and iteration theory; convex analysis, in particular, theory of convex mappings and their generalizations
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Special Issue Information
Dear Colleagues,
The theory of functional equations and inequalities has become one of the most rapidly developing parts of widely understood modern analysis and its applications. Among numerous monographs devoted to this field one should mention, for instance, the following items:
- János Aczél, Lectures on Functional Equations, Mathematics in Science and Engineering, Academic Press, New York-London, 1966.
- János Aczél & Jean Dhombres, Functional Equations in Several Variables: With Applications to Mathematics, Information Theory and to the Natural and Social Sciences, Encyclopedia of Mathematics and Its Applications, vol. 31, Cambridge University Press, Cambridge, 1989.
- Marek Kuczma, Functional Equations in a Single Variable, Mathematics Monographs, Polish Scientific Publishers, Warszawa, 1968.
- Marek Kuczma, Bogdan Choczewski & Roman Ger, Iterative Functional Equations, Encyclopedia of Mathematics and Its Applications, vol. 32, Cambridge University Press, Cambridge, 1990.
- Marek Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, Second edition, Edited and with a preface by Attila Gilányi, Birkhäuser Verlag, Basel, 2009,
- Henrik Stetkær, Functional Equations on Groups, World Scientific, New Jersey-London-Singapore-Beijing-Shanghai-Hong Kong, 2013.
- Laszló Székelyhidi, Convolution Type Functional Equations on Topological Abelian Groups, World Scientific Publishing Co., Inc., Teaneck, NJ, 1991.
- Antal Járai, Regularity Properties of Functional Equations in Several Variables, Advances in Mathematics (Springer), New York, 2005.
- Stefan Czerwik, Functional Equations and Inequalities in Several Variables, World Scientific Publishing Co, Singapore, 2002.
- Palaniappan Kannappan, Functional Equations and Inequalities with Applications, Springer, New York, 2009.
- H. Hyers, George Isac and Themistocles M. Rassias, Stability of Functional Equations in Several Variables, Birkhäuser Verlag, Boston, Basel, Berlin, 1998.
We invite our Colleagues to submit papers related to various aspects of Functional Equations and Inequalities and their applications including (but not limited to) solution methods of functional equations on various classic as well as abstract structures, characterizations of different mappings and spaces, convex functions (functionals) and their generalizations, stability and functional equations postulated almost everywhere, Hahn-Banach type separation theory, sandwich theorems, theory of means, orthogonal additivity, difference property, alienation of functional equations, iterations (dynamical systems), iterative functional equations, multifunctions and functional inclusions, functional equations in fuzzy logic and fuzzy set theory, invariant means and related topics.
Prof. Dr. Roman Ger
Guest Editor
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