We prove ?-convergence and strong convergence theorems of an iterative sequence generated by the Ishikawa’s method to a fixed point single-valued quasi-nonexpansive mappings in p-uniformly convex metric spaces without assuming convexity assumption. As consequence our version, we obtain result for multi-valued showing that every mapping taking compact values admits selection whose fixed-point se...

Abstract In this paper, we have established some fixed point theorems in the context of strong b-metric spaces. For purpose, Ciric type contraction for single-valued mapping and Nadler’s Banach Chatterjea contractions set-valued mappings are applied to obtain common points. A simple different technique has been used results. Our results unify, extend generalize existence corresponding present c...

in this paper, we have dened and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of levine. along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. every open subspaceof an s-topological vector space is ...

In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view and study its properties. We establish the relation between Hausdorff metric entropy and topological entropy of a semigroup defined by Bis. Some examples with positive or zero Hausdorff metric entropy are given. Moreov...

The problem of interpolating a set-valued function with convex images is addressed by means of directed sets. A directed set will be visualised as a usually non-convex set in Rn consisting of three parts together with its normal directions: the convex, the concave and the mixed-type part. In the Banach space of the directed sets, a mapping resembling the Kergin map is established. The interpola...

Background: A brain magnetic state (in terms of magnetic susceptibility distribution χ) can be detected by T2*-weighted MRI (T2*MRI) undergoing a cascade of data transformations. The MRI transformations cause distortions (or spatial morphing), which may be undone by solving the inverse imaging or mapping problem. Upon having a dataset acquired from Blood Oxygenation Level-Dependent (BOLD) funct...

In this paper, we fully characterize the duality mapping over space of matrices that are equipped with Schatten norms. Our approach is based on analysis saturation Hölder inequality for We prove in our main result that, p∈(1,∞), real-valued Schatten-p norm a continuous and single-valued function provide an explicit form its computation. For special case p = 1, set-valued; by adding rank constra...