A common maximal element of condensing mappings

Liang-Ju Chu, Chien-Hao Huang · Fixed Point Theory · 2020

In this paper, we establish a general existence theorem of maximal elements of condensing mappings in the product X := I X of noncompact l.c.-spaces. As an application, we prove that a family of L -majorized Q-condensing mappings T : X - 2 X admit a common maximal element under the mild condition that each {x | T(x) = } is compactly open.

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