A common maximal element of condensing mappings

Liang Ju Chu; Chien Hao Huang

doi:10.24193/fpt-ro.2020.1.09

A common maximal element of condensing mappings

Liang Ju Chu^*, Chien Hao Huang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we establish∏ a general existence theorem of maximal elements of condensing mappings in the product X:= X_α of noncompact l.c.-spaces. As an application, we prove that α∈I a family of L_πα-majorized Q_α-condensing mappings T_α: X −→ 2^Xα admit a common maximal element under the mild condition that each {x | T_α(x) ≠ ∅} is compactly open.

Original language	English
Pages (from-to)	125-132
Number of pages	8
Journal	Fixed Point Theory
Volume	21
Issue number	1
DOIs	https://doi.org/10.24193/fpt-ro.2020.1.09
Publication status	Published - 2020
Externally published	Yes

Keywords

L-majorized
Maximal element
Q-condensing mapping
l.c.-space

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.24193/fpt-ro.2020.1.09

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keywords = "L-majorized, Maximal element, Q-condensing mapping, l.c.-space",

author = "Chu, {Liang Ju} and Huang, {Chien Hao}",

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AU - Huang, Chien Hao

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AB - In this paper, we establish∏ a general existence theorem of maximal elements of condensing mappings in the product X:= Xα of noncompact l.c.-spaces. As an application, we prove that α∈I a family of Lπα-majorized Qα-condensing mappings Tα: X −→ 2Xα admit a common maximal element under the mild condition that each {x | Tα(x) ≠ ∅} is compactly open.

KW - L-majorized

KW - Maximal element

KW - Q-condensing mapping

KW - l.c.-space

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DO - 10.24193/fpt-ro.2020.1.09

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ER -

A common maximal element of condensing mappings

Abstract

Keywords

ASJC Scopus subject areas

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