Viscosity approximation methods for generalized mixed equilibrium problems and fixed points of a sequence of nonexpansive mappings.
Viscosity approximation methods for nonexpansive nonself-mappings in Hilbert spaces.
Viscosity approximation of common fixed points for -Lipschitzian semigroup of pseudocontractive mappings in Banach spaces.
Viscosity approximation to common fixed points of families of nonexpansive mappings with weakly contractive mappings.
Viscosity solutions for an optimal control problem with Preisach hysteresis nonlinearities
We study a finite horizon problem for a system whose evolution is governed by a controlled ordinary differential equation, which takes also account of a hysteretic component: namely, the output of a Preisach operator of hysteresis. We derive a discontinuous infinite dimensional Hamilton–Jacobi equation and prove that, under fairly general hypotheses, the value function is the unique bounded and uniformly continuous viscosity solution of the corresponding Cauchy problem.
Viscosity solutions for an optimal control problem with Preisach hysteresis nonlinearities
We study a finite horizon problem for a system whose evolution is governed by a controlled ordinary differential equation, which takes also account of a hysteretic component: namely, the output of a Preisach operator of hysteresis. We derive a discontinuous infinite dimensional Hamilton–Jacobi equation and prove that, under fairly general hypotheses, the value function is the unique bounded and uniformly continuous viscosity solution of the corresponding Cauchy problem.
Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in Banach space.
Weak and strong convergence of common fixed points for asymptotically quasi-nonexpansive type mappings in Banach spaces
Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings.
Weak and strong convergence of multistep iteration for finite family of asymptotically nonexpansive mappings.
Weak and strong convergence of projection methods in nonreflexive Banach spaces
Weak and strong convergence theorems for asymptotically strict pseudocontractive mappings in the intermediate sense.
Weak and strong convergence theorems for equilibrium problems and countable strict pseudocontractions mappings in Hilbert space.
Weak and strong convergence theorems for nonexpansive mappings in Banach spaces.
Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces.
Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces.
Weak and strong convergence theorems of an implicit iteration process for a countable family of nonexpansive mappings.
Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings
The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper generalize, improve and unify a few results due to Chang [1], Liu and Kang [5], Osilike and Aniagbosor [7], Rhoades [8] and Schu [9], [10] and others. An example is included to demonstrate that our results are sharp....
Weak conditions for the convergence of iterations to solutions of equations on partially ordered topological spaces.
Weak contractions, common fixed points, and invariant approximations.