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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 12 (2022), Article ID 2

Solutions of system of generalized vector quasi-equilibrium problems in locally FC-uniform spaces

Rong-Hua He, Rui-Jiang Bi

PDF (132.1 KB) https://doi.org/10.28919/afpt/6502

Abstract

In this paper, we establish a collectively fixed point theorem and an equilibrium existence theorem for generalized games in product locally FC-uniform spaces. As applications, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are derived in product locally FC-uniform spaces. These theorems are new and generalize some known results in the literature.

Published
6 January 2022
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2022 Rong-Hua He, Rui-Jiang Bi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

R.-H. He, R.-J. Bi, Solutions of system of generalized vector quasi-equilibrium problems in locally FC-uniform spaces, Adv. Fixed Point Theory 12 (2022), 2. https://doi.org/10.28919/afpt/6502

BibTeX
@article{He2022,
  author  = {He, Rong-Hua and Bi, Rui-Jiang},
  title   = {Solutions of system of generalized vector quasi-equilibrium problems in locally FC-uniform spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {12},
  year    = {2022},
  pages   = {2},
  doi     = {10.28919/afpt/6502}
}