Continuity of the superposition of set-valued functions.
Continuity properties of nonlinear mappings
Continuous dependence on data for quasiautonomous nonlinear boundary value problems.
Continuous dependence on parameters of the fixed points set for some set-valued operators
In this paper we extend the notion of I⁰-continuity and uniform I⁰-continuity from [2] to set-valued operators. Using these properties, we prove some results on continuous dependence of the fixed points set for families of contractive type set-valued operators.
Continuous extension of order-preserving homogeneous maps
Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have at least...
Continuous extensions of multifunctions
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces.
Contraction mappings in -metric spaces
Contractions on probabilistic metric spaces: examples and counterexamples.
The notion of a contraction mapping for a probabilistic metric space recently introduced by T. L. Hicks is compared with the notion previously introduced by V. L. Sehgal and A. T. Bharucha-Reid. By means of appropriate examples, it is shown that these two notions are independent. It is further shown that every Hick's contraction on a PM space (S,F,tW) is an ordinary metric contraction with respect to a naturally defined metric on that space; and it is again pointed out that, in Menger spaces under...
Contractions over generalized metric spaces.
Contractive mappings on a premetric space.
Contractors and fixed points
Contribution a la théorie des équations non linéaires dans les espaces de Banach [Book]
Contribution to the solution of non-linear equations
Control functions and total boundedness in the space .
Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator
We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existence results for mild solutions of this problem under various growth conditions on the nonlinear part and...
Controllability of a class of nonlinear systems with distributed delays in control
Controllability of nonlinear delay systems with delay depending on state variable
Controllability of nonlinear implicit fractional integrodifferential systems
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo's fixed point theorem. Examples are included to verify the result.
Controllability of nonlinear systems with delays in both state and control variables