Fixed points and sets of multivalued contractions: An advanced survey with some new results

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609732" target="_blank" >RIV/61989592:15310/21:73609732 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.math.ubbcluj.ro/~nodeacj/volumes/2021-No1/211-and-fis-gor-4000-final.php" target="_blank" >http://www.math.ubbcluj.ro/~nodeacj/volumes/2021-No1/211-and-fis-gor-4000-final.php</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.24193/fpt-ro.2021.1.02" target="_blank" >10.24193/fpt-ro.2021.1.02</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fixed points and sets of multivalued contractions: An advanced survey with some new results

Popis výsledku v původním jazyce

The existence of fixed points and, in particular, coupled fixed points is investigated for multivalued contractions in complete metric spaces. Multivalued coupled fractals are furthermore explored as coupled fixed points of certain induced operators in hyperspaces, i.e. as coupled compact subsets of the original spaces. The structure of fixed point sets is considered in terms of absolute retracts. We also formulate a continuation principle for multivalued contractions as a nonlinear alternative based on the topological essentiality. Two illustrative examples about coupled multivalued fractals are supplied.

Název v anglickém jazyce

Fixed points and sets of multivalued contractions: An advanced survey with some new results

Popis výsledku anglicky

The existence of fixed points and, in particular, coupled fixed points is investigated for multivalued contractions in complete metric spaces. Multivalued coupled fractals are furthermore explored as coupled fixed points of certain induced operators in hyperspaces, i.e. as coupled compact subsets of the original spaces. The structure of fixed point sets is considered in terms of absolute retracts. We also formulate a continuation principle for multivalued contractions as a nonlinear alternative based on the topological essentiality. Two illustrative examples about coupled multivalued fractals are supplied.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Fixed Point Theory

ISSN

1583-5022

e-ISSN

—

Svazek periodika

22

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

RO - Rumunsko

Počet stran výsledku

16

Strana od-do

15-30

Kód UT WoS článku

000627593500002

EID výsledku v databázi Scopus

2-s2.0-85108404104