Hybrid iteration method for common fixed points of a finite family of nonexpansive mappings in Banach spaces.
Hybrid iteration method for fixed points of nonexpansive mappings in arbitrary Banach spaces.
Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces.
Hybrid methods for equilibrium problems and fixed points problems of a countable family of relatively nonexpansive mappings in Banach spaces.
Hybrid projection algorithms for generalized equilibrium problems and strictly pseudocontractive mappings.
Hybrid proximal-type algorithms for generalized equilibrium problems, maximal monotone operators, and relatively nonexpansive mappings.
Implicit and explicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings.
Implicit approximation methods for common fixed points of a finite family of strictly pseudocontractive mappings in Banach spaces
Implicit iteration methods with errors for discrete non-Lipschitzian families with perturbed mappings.
Implicit iteration process for common fixed points of strictly asymptotically pseudocontractive mappings in Banach spaces.
Implicit iteration process of nonexpansive non-self-mappings.
Implicit predictor-corrector iteration process for finitely many asymptotically (quasi-)nonexpansive mappings.
Infinite Iterated Function Systems: A Multivalued Approach
We prove that a compact family of bounded condensing multifunctions has bounded condensing set-theoretic union. Compactness is understood in the sense of the Chebyshev uniform semimetric induced by the Hausdorff distance and condensity is taken w.r.t. the Hausdorff measure of noncompactness. As a tool, we present an estimate for the measure of an infinite union. Then we apply our result to infinite iterated function systems.
Infinite products and paracontracting matrices.
Interpolation of the measure of non-compactness between quasi-Banach spaces.
We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.
Interpolation of the measure of non-compactness by the real method
We investigate the behaviour of the measure of non-compactness of an operator under real interpolation. Our results refer to general Banach couples. An application to the essential spectral radius of interpolated operators is also given.
Interpolation spaces with function parameter and measures of non-compactness.
Invariant approximation for fuzzy nonexpansive mappings
We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all -best approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a fuzzy metric...
Ishikawa iteration process with errors for nonexpansive mappings.
Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces.