Some sufficient conditions for fixed points of multivalued nonexpansive mappings.
Some surjectivity theorems with applications
In this paper a new class of mappings, known as locally -strongly -accretive mappings, where and have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly -accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally -strongly -accretive mappings by using Caristi-Kirk fixed point theorem. In the sequel, we introduce the notion...
Some theorems of random operator equations.
Some Theorems On The Fixed Point In Locally Convex Spaces
Some theorems on the fixed point in locally convex spaces.
Some topological properties preserved by nearness between operators and applications to P.D.E.
Some unified algorithms for finding minimum norm fixed point of nonexpansive semigroups in Hilbert spaces.
Some unifying results on stability and strong convergence for some new iteration processes.
Some weak convergence theorems for a family of asymptotically nonexpansive nonself mappings.
Somme Ponctuelle D'operateurs Maximaux Monotones Pointwise Sum of two Maximal Monotone Operators
∗ Cette recherche a été partiellement subventionnée, en ce qui concerne le premier et le dernier auteur, par la bourse OTAN CRG 960360 et pour le second auteur par l’Action Intégrée 95/0849 entre les universités de Marrakech, Rabat et Montpellier.The primary goal of this paper is to shed some light on the maximality of the pointwise sum of two maximal monotone operators. The interesting purpose is to extend some recent results of Attouch, Moudafi and Riahi on the graph-convergence of maximal monotone...
Spatial patterns for reaction-diffusion systems with conditions described by inclusions
We consider a reaction-diffusion system of the activator-inhibitor type with boundary conditions given by inclusions. We show that there exists a bifurcation point at which stationary but spatially nonconstant solutions (spatial patterns) bifurcate from the branch of trivial solutions. This bifurcation point lies in the domain of stability of the trivial solution to the same system with Dirichlet and Neumann boundary conditions, where a bifurcation of this classical problem is excluded.
Spectral integration and spectral theory for non-Archimedean Banach spaces.
Stability and boundedness of controllable continuous flows
In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.
Stability and convergence results based on fixed point theory for a generalized viscosity iterative scheme.
Stability of a generalization of the Fréchet functional equation
We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.
Stability of Critical Points under Small Perturbations. Part II: Analytic Theory.
Stability of Markov processes nonhomogeneous in time
We study the asymptotic behaviour of discrete time processes which are products of time dependent transformations defined on a complete metric space. Our sufficient condition is applied to products of Markov operators corresponding to stochastically perturbed dynamical systems and fractals.
Stability of Noor Iteration for a General Class of Functions in Banach Spaces
In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.
Stability results for some functional equations of quadratic-type.
Stabilization of a hybrid system: An overhead crane with beam model.