On maximal elements with applications to abstract economies, fixed point theory and eigenvector problems

Liang Ju Chu, Wei Shih Du

Research output: Contribution to journalArticle

Abstract

Two existence theorems of maximal elements in H-spaces are obtained without compactness. More accurately, we deal with the correspondence to be of L-majorized mappings in the setting of noncompact strategy sets but merely requiring a milder coercive condition. As applications, we obtain an equilibrium existence theorem for general abstract economies, a new fixed point theorem, and give a sufficient condition for the existence of solutions of the eigenvector problem (EIVP).

Original languageEnglish
Article number789
JournalSymmetry
Volume11
Issue number6
DOIs
Publication statusPublished - 2019 Jun 1
Externally publishedYes

Keywords

  • Abstract economy
  • Eigenvector problem (EIVP)
  • H-space
  • L-majorized
  • Maximal element

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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