Certain locally convex spaces of scalar-valued mappings are shown to be finitedimensional.

In this paper, with the use of newly defined class up and down log–convex fuzzy-number valued mappings, we offer a few new original mappings by applying some mild restrictions over definition mapping. With these are able to develop partners Fejér-type inequalities for log–convexity, which improve upon certain previously established findings. The discussion also includes mappings’ characteristic...

This paper deals with some special integral transforms in the setting of quaternionic valued slice polyanalytic functions. In particular, using Fueter mappings, it is possible to construct a new family polynomials which are called generalized Appell polynomials. Furthermore, range mappings on two different Fock spaces characterized. Finally, we study Fueter–Bargmann transforms.

The best approximation problem in a hyperconvex metric space consists of finding conditions for given set-valued mappings F andG and a setX such that there is a point x0 ∈ X satisfying d G x0 , F x0 ≤ d x, F x0 for x ∈ X. When G I, the identity mapping, and when the set X is compact, best approximation theorems for mappings in hyperconvex metric spaces are given for the single-valued case in 1–...

For upper semicontinuous finite-dimensional set-valued mappings with either convex closed or aspheric closed values we prove the existence of special continuous e -approximations that point-wise converge to a Borel measurable selector of the set-valued mapping as e tends to zero. For convex-valued case the convergence holds on the entire domain while for aspheric-valued case — on a certain coun...

In this paper, we introduce new classes of proximal multi-valued contractions in a metric space and nonexpansive mappings Banach show the existence best proximity points for both classes. Further, mappings, prove point theorem on starshape sets. As consequence, also obtain some fixed theorems. Finally, give examples to illustrate our main results.

In the present paper, we introduced concept of generalized multi-valued contraction mappings, via class functions \(\Phi\) and \(\Psi\) Also proved some fixed point results for (\(\phi\),\(\mathfrak{F}\))- mappings on cone b-metric spaces over Banach algebra \(\mathfrak{V}\). The conditions existence uniqueness are investigated. We give an example to support our main result.