We provide a complete answer to the problem which consists in finding an unpointed convex cone lying at minimal bounded Pompeiu–Hausdorff distance from a pointed one. We give also a simple and useful characterization of the radius of pointedness of a convex cone. A corresponding characterization for the radius of solidity of a convex cone is then derived by using a duality argument. c © 2007 El...

The aim of this paper is to continue the research work that we have done in a previous paper published in this journal see Mihail andMiculescu, 2008 . We introduce the notion of GIFS, which is a family of functions f1, . . . , fn : X → X, where X, d is a complete metric space in the above mentioned paper the case when X, d is a compact metric space was studied andm,n ∈ N. In case that the funct...

This paper introduces a complete Gn-Menger space and defines the Hausdorff–Pompeiu distance in space. Furthermore, we show novel fixed-point theorem for Gn-Menger-θ-contractions fractal spaces.

In theoretical setting, associated with a fractional [Formula: see text]-Fueter operator that depends on an additional vector of complex parameters real parts, this paper establishes analog Borel–Pompeiu formula as first step to develop text]-hyperholomorphic function theory and the related calculus.