A common maximal element of condensing mappings



	A common maximal element of condensing mappings


	Fixed Point Theory, Volume 21, No. 1, 2020, 125-132, February 1st, 2020 DOI: 10.24193/fpt-ro.2020.1.09 Authors: Liang-Ju Chu and Chien-Hao Huang Abstract: In this paper, we establish a general existence theorem of maximal elements of condensing mappings in the product X : = ∏_{α ∈ I}X_α of noncompact l.c.-spaces. As an application, we prove that a family of L_{π_α}-majorized Q_α-condensing mappings T_α: X →2^X_α admit a common maximal element under the mild condition that each {x \| T_α(x) ≠ ∅} is compactly open. Key Words and Phrases: l.c.-space, Q_α-condensing mapping, maximal element, L_θ-majorized. 2010 Mathematics Subject Classification: 47H04, 52A99, 54H25. Published on-line: February 1st, 2020. Abstract pdf Fulltext pdf Back to volume's table of contents