The onset of generalized synchronization of chaos in directionally coupled systems corresponds to the formation of a continuous mapping that enables one to persistently define the state of the response system from the trajectory of the drive system. A recently developed theory of generalized synchronization of chaos deals only with the case where this synchronization mapping is a single-valued ...

We consider a reaction-diffusion system exhibiting diffusion driven instability if supplemented by Dirichlet-Neumann boundary conditions. We impose unilateral conditions given by inclusions on this system and prove that global bifurcation of spatially nonhomogeneous stationary solutions occurs in the domain of parameters where bifurcation is excluded for the original mixed boundary value proble...

In this paper, we introduce and study a new class of generalized vector variational inequalities and complementarity problems for multivalued mappings. We prove the existence of solutions for this kind of vector variational inequality and discuss the relations between the solutions of the generalized vector variational inequalities and the solutions of generalized vector complementarity problem...

We introduce and study a new class of general nonlinear random multivalued operator equations involving generalized m-accretive mappings in Banach spaces. By using the Chang’s lemma and the resolvent operator technique for generalized m-accretive mapping due to Huang and Fang 2001 , we also prove the existence theorems of the solution and convergence theorems of the generalized random iterative...

In this paper, we study to approximate fixed points of Suzuki generalized multivalued nonexpansive mappings by using a three-step iterative scheme (1.1) introduced in [17]. We establish some weak and strong convergence results for satisfying condition (C) with the newly proposed framework uniformly convex real Banach spaces.

B. Damjanovi? and D. Dori?, Multivalued generalizations of the Kannan fixed point theorem, Filomat , vol. 25 (1) , DOI: 10. 2298/FIL 1101125D, (2011), 125-131. B. E. Rhoades and M. Abbas, Maps satisfying generalized contractive condition of integral type for which F(T) = F(Tn), International Journal of Pure and Applied Mathematics, vol. 45, no. 2 (2008), 225-231. D. Dori? and R. Lazovi?, Some S...

The purpose of this paper is to introduce a new extension the generalized admissible S-algorithm for approximating common fixed point three multivalued mappings satisfying two general classes contraction conditions in uniformly convex Banach space endowed with graph. As an application our result we establish solution image recovery problem Hilbert setting.

In the present work, we first discuss definition of a multivalued ($\psi$-$G$)-contraction mapping in metricspace endowed with graph as introduced \cite{1} and suggest generalization. Then, prove common fixed point theorem for mappings partial metric spaces graph. An example application illustrates main existence result some known results are derived.

In this article, we introduce a new mixed-type iterative algorithm for approximation of common fixed points two multivalued almost contractive mappings and satisfying condition (E) in hyperbolic spaces. We consider concepts weak w2-stability data dependence results involving mappings. provide examples to show the advantage our over some exiting algorithms. Moreover, prove several strong ?-conve...