A note on d'Alembert's functional equation
A Common Fixed Point Theorem for Expansive Mappings under Strict Implicit Conditions on b-Metric Spaces
In the setting of a b-metric space (see [Czerwik, S.: Contraction mappings in b-metric spaces Acta Math. Inform. Univ. Ostraviensis 1 (1993), 5–11.] and [Czerwik, S.: Nonlinear set-valued contraction mappings in b-metric spaces Atti Sem. Mat. Fis. Univ. Modena 46, 2 (1998), 263–276.]), we establish two general common fixed point theorems for two mappings satisfying the (E.A) condition (see [Aamri, M., El Moutawakil, D.: Some new common fixed point theorems under strict contractive conditions Math....
Fonctions sphériques associées à une mesure bornée, hermitienne et idempotente
Some boundary optimal control problems related to a singular cost functional
On the lambda-property and computation of the lambda-function of some normed spaces.
R. M. Aron and R. H. Lohman introduced, in [1], the notion of lambda-property in a normed space and calculated the lambda-function for some classical normed spaces. In this paper we give some more general remarks on this lambda-property and compute the lambda-function of other normed spaces, namely: B(S,∑,X) and M(E).
Optimality Conditions for a Nonlinear Boundary Value Problem Using Nonsmooth Analysis
We study in this paper a Lipschitz control problem associated to a semilinear second order ordinary differential equation with pointwise state constraints. The control acts as a coefficient of the state equation. The nonlinear part of the equation is governed by a Nemytskij operator defined by a Lipschitzian but possibly nonsmooth function. We prove the existence of optimal controls and obtain a necessary optimality conditions looking somehow to the Pontryagin’s maximum principle. These conditions...
Characterizations of seminorms given by continuous linear functionals on normed linear spaces and applications to Gel'fand measures.
Common fixed point theorems in connection to some results of J. Matkowski.
On an integral inequality of Feng Qi.
Coincidence points for multivalued mappings.
Approximations of fixed points for mappings in the class .
Improvements of some integral inequalities of H. Gauchman involving Taylor's remainder.
On Compact Sets of Compact Operators on Banach Spaces not Containing a Copy of l^1
On generalized d'Alembert functional equation.
Let G be a locally compact group. Let σ be a continuous involution of G and let μ be a complex bounded measure. In this paper we study the generalized d'Alembert functional equation D(μ) ∫G f(xty)dμ(t) + ∫G f(xtσ(y))dμ(t) = 2f(x)f(y) x, y ∈ G; where f: G → C to be determined is a measurable and essentially bounded function.
Weak stabilizability of a nonautonomous and nonlinear system.
On Hyers-Ulam stability of Cauchy and Wilson equations.
On Cauchy-type functional equations.
The superstability of the generalized d'Alembert functional equation.
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