A new class of composition operators.
A new class of nonexpansive type mappings and fixed points
In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
A new class of Ornstein transformations with singular spectrum
A new composite implicit iterative process for a finite family of nonexpansive mappings in Banach spaces.
A new convergence theorem for Steffensen's method on Banach spaces and applications.
A new general integral operator defined by Al-Oboudi differential operator.
A new general iterative method for a finite family of nonexpansive mappings in Hilbert spaces.
A new Hilbert-type linear operator with a composite kernel and its applications.
A new hybrid algorithm for a system of mixed equilibrium problems, fixed point problems for nonexpansive semigroup, and variational inclusion problem.
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings.
A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems.
A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces.
A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings.
A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings.
A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem.
A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities.
A new iterative method for solving equilibrium problems and fixed point problems for infinite family of nonexpansive mappings.
A new iterative scheme for countable families of weak relatively nonexpansive mappings and system of generalized mixed equilibrium problems.
A new Kantorovich-type theorem for Newton's method
A new Kantorovich-type convergence theorem for Newton's method is established for approximating a locally unique solution of an equation F(x)=0 defined on a Banach space. It is assumed that the operator F is twice Fréchet differentiable, and that F', F'' satisfy Lipschitz conditions. Our convergence condition differs from earlier ones and therefore it has theoretical and practical value.
A new look at boundary perturbations of generators.