Martínez, Luis Tapia, Héctor Pinedo Ramirez, Edwar

Let X be a compact Hausdorff space. In this work we translate partial actions of X to partial actions on some hyperspaces determined by X, this gives an endofunctor 2- in the category of partial actions on compact Hausdorff spaces which generates a monad in this category. Moreover, structural relations between partial actions θ on X and partial det...

Goubault-Larrecq, Jean

We show that the Kantorovich-Rubinstein quasi-metrics d_KR and d^a_KR of Part I extend naturally to various spaces of previsions, and in particular not just the linear previsions (roughly, measures) of Part I. There are natural isomorphisms between the Hoare and Smyth powerdomains, as used in denotational semantics, and spaces of discrete sublinear...

Beshimov, R. B. Safarova, D. T.
Published in
Lobachevskii Journal of Mathematics

AbstractIn this paper, the connection between a finally compact, pceudocompact, extremely disconnected, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\aleph$$\end{doc...

Barragán, Franco Santiago-Santos, Alicia Tenorio, Jesús F.

Let X be a continuum and let n be a positive integer. We consider the hyperspaces Fn(X) and SFn(X). If m is an integer such that n > m ≥ 1, we consider the quotient space SFnm(X). For a given map f : X â†’ X, we consider the induced maps Fn(f) : Fn(X) â†’ Fn(X), SFn(f) : SFn(X) â†’ SFn(X) and SFnm(f) : SFnm(X) â†’ SFnm(X). In this paper, we introdu...

Patil, Mahesh B
Published in
Sādhanā

We show that the use of an external archive, purely for storage purposes, can bring substantial benefits in multi-objective optimization. We first present a new scheme for archive management. We then combine it with the NSGA-II algorithm for solving multi-objective optimization problems and demonstrate significant improvement in performance. Furthe...

Anaya, José Maya, David Orozco Zitli, Fernando

For fixed hyperspacesH(X)andH(Y)of metric continuaXandY, respectively, a mappingg:H(X)→ H(Y)is calledinducibleprovidedthat there exists a mappingf:X→Ysuch thatg(A) ={f(a) :a∈A}, foreveryA∈ H(X). In this paper, we present a characterization of induciblemappings between hyperspaces, compare it with the necessary and sufficientconditions under which a...

Bogomolov, A. V.
Published in
Mathematical Notes

Ivanov, A. O. Tuzhilin, A. A.
Published in
Lobachevskii Journal of Mathematics

We investigate the local structure of the space M consisting of isometry classes of compact metric spaces, endowed with the Gromov–Hausdorff metric. We consider finite metric spaces of the same cardinality and suppose that these spaces are in general position, i.e., all nonzero distances in each of the spaces are distinct, and all triangle inequali...

Sharma, Puneet

In this paper, we study the dynamics induced by finite commutative relation on the hyperspaces. We prove that the dynamics induced on the hyperspace by a non-trivial commutative family of continuous self maps cannot be transitive and hence cannot exhibit higher degrees of mixing. We also prove that the dynamics induced on the hyperspace by such a c...

Burke, Dennis K. Buzyakova, Raushan

We study fixed-point free multivalued selfmaps on R as well as continuous fixed-point free selection of multivalued selfmaps on R. We justify necessary conditions in some earlier results and motivate some new interesting questions.