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

Archives › Volume 9, Number 4 (2019)

Adv. Fixed Point Theory 9 (2019), 381–394

Ekeland’s variational principle and fixed point theorems in partial b-metric spaces

Juntao Xie, Yuqiang Feng, Xiaoyan Lv

PDF (155.4 KB) https://doi.org/10.28919/afpt/4228

Abstract

In this paper, a new version of Ekeland’s variational principle is presented in partial b-metric spaces via Cantor’s intersection theorem. As a consequence, some Caristi type fixed point theorems are proved in partial b-metric spaces. Furthermore, the construction and number of fixed points are discussed.

Published
16 September 2019
Volume
9 (2019)
License
CC BY 3.0

Copyright © 2019 Juntao Xie, Yuqiang Feng, Xiaoyan Lv. 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

J. Xie, Y. Feng, X. Lv, Ekeland’s variational principle and fixed point theorems in partial b-metric spaces, Adv. Fixed Point Theory 9 (2019), 381–394. https://doi.org/10.28919/afpt/4228

BibTeX
@article{Xie2019,
  author  = {Xie, Juntao and Feng, Yuqiang and Lv, Xiaoyan},
  title   = {Ekeland’s variational principle and fixed point theorems in partial b-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {9},
  year    = {2019},
  pages   = {381--394},
  doi     = {10.28919/afpt/4228}
}