Set-Valued Mapping's Properties on Metric Space Induced by Partial Metric

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

doi:10.1063/5.0234358

Set-Valued Mapping's Properties on Metric Space Induced by Partial Metric

Arta Ekayanti
, Marjono Marjono^*
, Mohamad Muslikh
, Sa'adatul Fitri

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this work, we will discuss about the properties of set-valued mapping in partial metric space. By using the pPompeiu-Hausdorff (partial Pompeiu-Hausdorff) metric, we derive the convergence properties of set-valued mapping sequences. The contractivity of a set-valued mapping in a partial metric space is given in this work. Furthermore, we prove establish some fixed-point theorems for set-valued mappings and their sequences.

Original language	English
Title of host publication	AIP Conference Proceedings
Editors	Desi Rahmadani, Anita Dewi Utami, Imam Rofiki, Andi Daniah Pahrany, Lita Wulandari Aeli, Mukhammad Solikhin, Ramdhan Fazrianto Suwarman
Publisher	American Institute of Physics
Edition	1
ISBN (Electronic)	9780735450370
DOIs	https://doi.org/10.1063/5.0234358
Publication status	Published - 20 Sept 2024
Event	4th International Conference on Mathematics and its Applications: Mathematics and its Applications on Society 5.0: Challenges and Opportunities, ICoMathApp 2023 - Hybrid, Malang, Indonesia Duration: 10 Aug 2024 → 11 Aug 2024

Publication series

Name	AIP Conference Proceedings
Number	1
Volume	3235
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	4th International Conference on Mathematics and its Applications: Mathematics and its Applications on Society 5.0: Challenges and Opportunities, ICoMathApp 2023
Country/Territory	Indonesia
City	Hybrid, Malang
Period	10/08/24 → 11/08/24

Access to Document

10.1063/5.0234358

Cite this

Ekayanti, A., Marjono, M., Muslikh, M., & Fitri, S. (2024). Set-Valued Mapping's Properties on Metric Space Induced by Partial Metric. In D. Rahmadani, A. D. Utami, I. Rofiki, A. D. Pahrany, L. W. Aeli, M. Solikhin, & R. F. Suwarman (Eds.), AIP Conference Proceedings (1 ed.). Article 020007 (AIP Conference Proceedings; Vol. 3235, No. 1). American Institute of Physics. https://doi.org/10.1063/5.0234358

Ekayanti, Arta ; Marjono, Marjono ; Muslikh, Mohamad et al. / Set-Valued Mapping's Properties on Metric Space Induced by Partial Metric. AIP Conference Proceedings. editor / Desi Rahmadani ; Anita Dewi Utami ; Imam Rofiki ; Andi Daniah Pahrany ; Lita Wulandari Aeli ; Mukhammad Solikhin ; Ramdhan Fazrianto Suwarman. 1. ed. American Institute of Physics, 2024. (AIP Conference Proceedings; 1).

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abstract = "In this work, we will discuss about the properties of set-valued mapping in partial metric space. By using the pPompeiu-Hausdorff (partial Pompeiu-Hausdorff) metric, we derive the convergence properties of set-valued mapping sequences. The contractivity of a set-valued mapping in a partial metric space is given in this work. Furthermore, we prove establish some fixed-point theorems for set-valued mappings and their sequences.",

author = "Arta Ekayanti and Marjono Marjono and Mohamad Muslikh and Sa'adatul Fitri",

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doi = "10.1063/5.0234358",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

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editor = "Desi Rahmadani and Utami, \{Anita Dewi\} and Imam Rofiki and Pahrany, \{Andi Daniah\} and Aeli, \{Lita Wulandari\} and Mukhammad Solikhin and Suwarman, \{Ramdhan Fazrianto\}",

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Ekayanti, A, Marjono, M, Muslikh, M & Fitri, S 2024, Set-Valued Mapping's Properties on Metric Space Induced by Partial Metric. in D Rahmadani, AD Utami, I Rofiki, AD Pahrany, LW Aeli, M Solikhin & RF Suwarman (eds), AIP Conference Proceedings. 1 edn, 020007, AIP Conference Proceedings, no. 1, vol. 3235, American Institute of Physics, 4th International Conference on Mathematics and its Applications: Mathematics and its Applications on Society 5.0: Challenges and Opportunities, ICoMathApp 2023, Hybrid, Malang, Indonesia, 10/08/24. https://doi.org/10.1063/5.0234358

Set-Valued Mapping's Properties on Metric Space Induced by Partial Metric. / Ekayanti, Arta; Marjono, Marjono; Muslikh, Mohamad et al.
AIP Conference Proceedings. ed. / Desi Rahmadani; Anita Dewi Utami; Imam Rofiki; Andi Daniah Pahrany; Lita Wulandari Aeli; Mukhammad Solikhin; Ramdhan Fazrianto Suwarman. 1. ed. American Institute of Physics, 2024. 020007 (AIP Conference Proceedings; Vol. 3235, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - In this work, we will discuss about the properties of set-valued mapping in partial metric space. By using the pPompeiu-Hausdorff (partial Pompeiu-Hausdorff) metric, we derive the convergence properties of set-valued mapping sequences. The contractivity of a set-valued mapping in a partial metric space is given in this work. Furthermore, we prove establish some fixed-point theorems for set-valued mappings and their sequences.

AB - In this work, we will discuss about the properties of set-valued mapping in partial metric space. By using the pPompeiu-Hausdorff (partial Pompeiu-Hausdorff) metric, we derive the convergence properties of set-valued mapping sequences. The contractivity of a set-valued mapping in a partial metric space is given in this work. Furthermore, we prove establish some fixed-point theorems for set-valued mappings and their sequences.

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AN - SCOPUS:85206591319

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BT - AIP Conference Proceedings

A2 - Rahmadani, Desi

A2 - Utami, Anita Dewi

A2 - Rofiki, Imam

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A2 - Suwarman, Ramdhan Fazrianto

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T2 - 4th International Conference on Mathematics and its Applications: Mathematics and its Applications on Society 5.0: Challenges and Opportunities, ICoMathApp 2023

Y2 - 10 August 2024 through 11 August 2024

ER -

Set-Valued Mapping's Properties on Metric Space Induced by Partial Metric

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