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
Controllability of Urysohn integral inclusions of Volterra type.
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces.
Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions.
Convergence of a random iteration scheme to a random fixed point.
Convergence of an iteration leading to a solution of a random operator equation.
Convergence of approximating fixed points sets for multivalued nonexpansive mappings
Let be a closed convex subset of a Hilbert space and a nonexpansive multivalued map with a unique fixed point such that . It is shown that we can construct a sequence of approximating fixed points sets converging in the sense of Mosco to .
Convergence of fixed point of asymptotically quasi-nonexpansive type mappings in convex metric space.