Solutions of a functional equation in a special class of functions
Solutions of .
Solutions with big graph of iterative functional equations of the second order.
Solvability and algorithms for functional equations originating from dynamic programming.
Solving linear functional equations with computer.
Some logarithmic functional equations
The functional equation is solved for general solution. The result is then applied to show that the three functional equations , and are equivalent. Finally, twice differentiable solution functions of the functional equation are determined.
Some models of geometries and a functional equation
Some models of plane geometries and a functional equation
Some new functional equations connected with characterization problems.
Some recent applications of functional equations to the social and behavioral sciences. Further problems.
Some regularity properties of algorithms and additive functions with respect to them.
Some remarks on stability and solvability of linear functional equations.
Stabilities of cubic mappings in fuzzy normed spaces.
Stability of a functional equation deriving from cubic and quartic functions.
Stability of a Jensen type functional equation.
Stability of an additive-cubic-quartic functional equation.
Stability of generalized additive Cauchy equations.
Studie o funkcinálních rovnicích
Subadditive functions and partial converses of Minkowski's and Mulholland's inequalities
Let ϕ be an arbitrary bijection of . We prove that if the two-place function is subadditive in then must be a convex homeomorphism of . This is a partial converse of Mulholland’s inequality. Some new properties of subadditive bijections of are also given. We apply the above results to obtain several converses of Minkowski’s inequality.
Sugeno's negations and T-norms.
A functional characterization of Sugeno's negations is presented and as a consequence, we study a family of non strict Archimedean t-norms whose (vertical-horizontal) sections are straight lines.