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.
Ishikawa iterative process for a pair of single-valued and multivalued nonexpansive mappings in Banach spaces.
Ishikawa iterative sequence with errors for strongly pseudocontractive operators in arbitrary Banach spaces.
Iterates of maps which are non-expansive in Hilbert's projective metric
The cycle time of an operator on gives information about the long term behaviour of its iterates. We generalise this notion to operators on symmetric cones. We show that these cones, endowed with either Hilbert’s projective metric or Thompson’s metric, satisfy Busemann’s definition of a space of non- positive curvature. We then deduce that, on a strictly convex symmetric cone, the cycle time exists for all maps which are non-expansive in both these metrics. We also review an analogue for the Hilbert...
Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings.
Iterative algorithm for a convex feasibility problem.
Iterative algorithms for finding common solutions to variational inclusion equilibrium and fixed point problems.