Applications of W. A. Kirk's fixed-point theorem to generalized nonlinear variational-like inequalities in reflexive Banach spaces.
Approximate controllability by birth control for a nonlinear population dynamics model
In this paper we analyse an approximate controllability result for a nonlinear population dynamics model. In this model the birth term is nonlocal and describes the recruitment process in newborn individuals population, and the control acts on a small open set of the domain and corresponds to an elimination or a supply of newborn individuals. In our proof we use a unique continuation property for the solution of the heat equation and the Kakutani-Fan-Glicksberg fixed point theorem.
Approximate controllability by birth control for a nonlinear population dynamics model
In this paper we analyse an approximate controllability result for a nonlinear population dynamics model. In this model the birth term is nonlocal and describes the recruitment process in newborn individuals population, and the control acts on a small open set of the domain and corresponds to an elimination or a supply of newborn individuals. In our proof we use a unique continuation property for the solution of the heat equation and the Kakutani-Fan-Glicksberg fixed point theorem.
Approximate fixed points for nonexpansive mappings in uniformly convex spaces
Approximate proximal point algorithms for finding zeroes of maximal monotone operators in Hilbert spaces.
Approximating common fixed points of asymptotically nonexpansive mappings by composite algorithm in Banach spaces
Let E be a uniformly convex Banach space and K a nonempty convex closed subset which is also a nonexpansive retract of E. Let T 1, T 2 and T 3: K → E be asymptotically nonexpansive mappings with k n, l n and j n. [1, ∞) such that Σn=1∞(k n − 1) < ∞, Σn=1∞(l n − 1) < ∞ and Σn=1∞(j n − 1) < ∞, respectively and F nonempty, where F = x ∈ K: T 1x = T 2x = T 3 x = xdenotes the common fixed points set of T 1, T 2 and T 3. Let α n, α′ n and α″ n be real sequences in (0, 1) and ∈ ≤ α n, α′ n, α″...
Approximating common fixed points of families of quasi-nonexpansive mappings.
Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces.
Approximating fixed points of nonexpansive and generalized nonexpansive mappings.
Approximating fixed points of nonexpansive mappings.
Approximating fixed points of nonexpansive mappings in hyperspaces.
Approximating fixed points of nonexpansive type mappings.
Approximating fixed points of non-self asymptotically nonexpansive mappings in Banach spaces.
Approximating fixed points of total asymptotically nonexpansive mappings.
Approximating fixed points of -firmly nonexpansive mappings in Banach spaces.
Approximating the fixed points of some nonlinear operator equations
Approximating zero points of accretive operators with compact domains in general Banach spaces.
Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences.
Approximation du point fixe et applications faiblement contractantes.
Approximation methods for solving the Cauchy problem
In this paper we give some new results concerning solvability of the 1-dimensional differential equation with initial conditions. We study the basic theorem due to Picard. First we prove that the existence and uniqueness result remains true if is a Lipschitz function with respect to the first argument. In the second part we give a contractive method for the proof of Picard theorem. These considerations allow us to develop two new methods for finding an approximation sequence for the solution....