Exploring Fixed Point for Contractive Mapping using Partial Pompeiu-Hausdorff Metric and Partial Order Relations

Arta Ekayanti; Marjono Marjono; Mohamad Muslikh; Sa’adatul Fitri

doi:10.2991/978-2-38476-410-5_2

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Exploring Fixed Point for Contractive Mapping using Partial Pompeiu-Hausdorff Metric and Partial Order Relations

Authors

Arta Ekayanti¹^{, 2}^{, *}, Marjono Marjono¹, Mohamad Muslikh¹, Sa’adatul Fitri¹

¹Department of Mathematics, University of Brawijaya, Malang, Indonesia

²Department of Mathematics Education, Universitas Muhammadiyah Ponorogo, Ponorogo, Indonesia

^*Corresponding author.

Corresponding Author

Arta Ekayanti

Available Online 28 July 2025.

DOI: 10.2991/978-2-38476-410-5_2 How to use a DOI?
Keywords: fixed point theory; contractive happing; partial pompeiu-hausdorff metric; partial order relations
Abstract: In this paper, we discuss the existence of fixed point for set-valued mappings in partially ordered partial metric spaces. Our theorems improve some result of Sedhgi et al (2013). By using the contraction’s mapping principle of Aydi et al (2012) and partial ordered’s definition on Gregorio (2014), we prove that the existence of fixed points is guaranteed.
Copyright: © 2025 The Author(s)
Open Access: Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title: Proceedings of the 2nd International Conference on Sciences, Mathematics, and Education 2023 (ICOSMED 2023)
Series: Advances in Social Science, Education and Humanities Research
Publication Date: 28 July 2025
ISBN: 978-2-38476-410-5
ISSN: 2352-5398
DOI: 10.2991/978-2-38476-410-5_2 How to use a DOI?
Open Access: Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

ris enw bib

TY  - CONF
AU  - Arta Ekayanti
AU  - Marjono Marjono
AU  - Mohamad Muslikh
AU  - Sa’adatul Fitri
PY  - 2025
DA  - 2025/07/28
TI  - Exploring Fixed Point for Contractive Mapping using Partial Pompeiu-Hausdorff Metric and Partial Order Relations
BT  - Proceedings of the 2nd International Conference on Sciences, Mathematics, and Education 2023 (ICOSMED 2023)
PB  - Atlantis Press
SP  - 7
EP  - 16
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-410-5_2
DO  - 10.2991/978-2-38476-410-5_2
ID  - Ekayanti2025
ER  -

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