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Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces

Zhao-qi Wu, Lin Zhang, Chuan-xi Zhu, Chenggui Yuan Orcid Logo

Applied Mathematics-A Journal of Chinese Universities, Volume: 37, Issue: 4, Pages: 494 - 512

Swansea University Author: Chenggui Yuan Orcid Logo

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Abstract

In this paper, we introduce the concept of comparable T-completeness of a partially ordered Menger PM-space and discuss the existence of fixed points for mappings satisfying certain conditions in the framework of a comparable T-complete partially ordered Menger PM-space. We obtain some new results w...

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Published in: Applied Mathematics-A Journal of Chinese Universities
ISSN: 1005-1031 1993-0445
Published: Springer Science and Business Media LLC 2022
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa62236
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Abstract: In this paper, we introduce the concept of comparable T-completeness of a partially ordered Menger PM-space and discuss the existence of fixed points for mappings satisfying certain conditions in the framework of a comparable T-complete partially ordered Menger PM-space. We obtain some new results which generalize many known ones in the literature. Moreover, we derive some consequent results and give an example to illustrate our main result.
College: Faculty of Science and Engineering
Funders: Supported by the National Natural Science Foundation of China(12161056, 11701259, 11771198) and Natural Science Foundation of Jiangxi Province of China(20202BAB201001).
Issue: 4
Start Page: 494
End Page: 512