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

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

1 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	125-132
頁數	8
期刊	Fixed Point Theory
卷	21
發行號	1
DOIs	https://doi.org/10.24193/fpt-ro.2020.1.09
出版狀態	已發佈 - 2020
對外發佈	是

ASJC Scopus subject areas

分析
計算數學
應用數學

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10.24193/fpt-ro.2020.1.09

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引用此

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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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A common maximal element of condensing mappings

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