FIXED POINT THEOREM FOR MULTIVALUED (ϕ, F, ω)-CONTRACTION MAPPING ON COMPLETE METRIC SPACE
DOI:
https://doi.org/10.25077/jmua.13.3.142-148.2024Keywords:
Jarak-ω, Kontraksi-(ϕ, F, ω), Titik tetapAbstract
Dalam penelitan ini, didefinisikan suatu pemetaan baru yang diberi nama pemetaan kontraksi-$(\phi, F,\omega)$ bernilai banyak. Pemetaan ini merupakan hasil modifikasi dari pemetaan kontraksi-$(\phi,F)$ yang diberikan oleh Wardowski. Selanjutnya dibuktikan eksistensi titik tetap dari pemetaan kontraksi-$(\phi, F,\omega)$ bernilai banyak, dan diperoleh beberapa akibat dari teorema tersebut.Downloads
References
Kada, O., Suzuki, T., Takahashi, W., 1996, Non Convex Minimization Theorems and A Fixed Point Theorems in Complete Metric Spaces, Mathematica Japonica, Vol. 44: 381 – 391
Piri, H., Kumam, P., 2014, Some fixed point theorems concerning F-contraction in complete metric spaces, Fixed Point Theory and Applications, Vol. 2014(1): 21
Wardowski, D., 2017, Solving existence problems via F-contractions, Proceedings of the American Mathematical Society, Vol. 146(4): 1585 – 1598
Piri, H., Rahrovi, S., Zarghami, R., 2021, Some fixed point theorems on generalized asymmetric metric spaces, Asian-European Journal of Mathematics, Vol. 14(07): 2150109
Ge, X., Yang, S., 2021, Some fixed point results on generalized metric spaces. AIMS Mathematics, Vol. 6(2): 1769 – 1780
Rossafi, M., Kari, A, 2023, New fixed point theorems for (Ï•, F)-contraction on rectangular b-metric spaces, Afrika Matematika, Vol. 34(3): 34
Pasangka, I. G., 2021, Teorema Titik Tetap Pemetaan Kontraksi-ψ-ω Bernilai Banyak pada Ruang Metrik Lengkap-α, Jurnal Sains Dasar, Vol. 9(2): 50 – 53
Pasangka, I. G., 2021, Teorema Titik Tetap Berkaitan dengan Pemetaan Kontraksi-F dan Jarak-ω pada Ruang Metrik Lengkap, BAREKENG: Jurnal Ilmu Matematika Dan Terapan, Vol. 15(2): 355 – 360
Rossafi, M., Kari, A., Park, C., Lee, J. R., 2022, New fixed point for θ − ϕ- contraction on b -metric spaces, Journal of Mathematics and Computer Science, Vol. 29(01): 12 – 27
Asim, M., Mujahid, S., Uddin, I., 2022, Fixed point theorems for F- contraction mapping in complete rectangular M-metric space, Appl Gen Topol, Vol. 23(2): 363 – 376
Berinde, V., P˘acurar, M., 2021. Existence and Approximation of Fixed Points of Enriched Contractions and Enriched ϕ-Contractions, Symmetry, Vol. 13(3): 498
Kari, A., Al-Rawashdeh, A., 2023, New Fixed Point Theorems for θ-ω-Contraction on λ,μ-Generalized Metric Spaces, Journal of Function Spaces, Vol. 2023: 1 – 14
Karlsson, A., 2024, A Metric Fixed Point Theorem and Some of Its Applications, Geometric and Functional Analysis, Vol. 34(2): 486 – 511
Khantwal, D., Aneja, S., GaiRola, U. C., 2021, A fixed point theorem for (ϕ, ψ) -convex contraction in metric spaces, Advances in the Theory of Nonlinear Analysis and Its Application, Vol. 5(2): 240 – 245
Nazam, M., Park, C., Arshad, M., 2021, Fixed point problems for generalized contractions with applications, Advances in Difference Equations, Vol. 2021(1): 247
Yaseen, M. T., Ali, A. H., Al-moneef, A. A., Bazighifan, O., Nofal, T. A., Ghanim, F., 2022, New Results of Fixed-Point Theorems in Complete Metric Spaces, Mathematical Problems in Engineering, Vol. 2022: 1 – 5
Downloads
Additional Files
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Departemen Matematika dan Sains Data FMIPA UNAND

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0). This license allows published content to be freely accessed, shared, redistributed, and adapted for any purpose, including commercial use, provided that the applicable license conditions are followed.
Copyright Holder
The copyright of articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND), in accordance with the journal's stated copyright policy.
Author Rights
Under the CC BY-SA 4.0 license, authors may share, distribute, and reuse their published articles, subject to the applicable license conditions. These rights include:
-
Self-Archiving: Authors may deposit their published articles in institutional repositories, personal websites, or academic platforms.
-
Reuse: Authors may reuse their published work in subsequent publications, research, teaching materials, or other lawful purposes, provided that appropriate attribution is maintained.
-
Distribution: Authors may share and distribute their published articles without requiring additional permission under the terms of the license.
Creative Commons License (CC BY-SA 4.0)
Under the CC BY-SA 4.0 license, users are free to:
-
Share: Copy and redistribute the material in any medium or format.
-
Adapt: Remix, transform, and build upon the material for any purpose, including commercial purposes.
These permissions are subject to the following conditions:
-
Attribution: Users must give appropriate credit to the original author(s), retain relevant copyright notices, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author(s), copyright holder, or journal.
-
ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same CC BY-SA 4.0 license or a compatible license.
-
No Additional Restrictions: Users may not apply legal terms or technological measures that legally restrict others from exercising the rights granted by the license.
For more information about the CC BY-SA 4.0 license, please visit:
https://creativecommons.org/licenses/by-sa/4.0/
Third-Party Content
Third-party materials, including figures, tables, photographs, and illustrations, are covered by the article's CC BY-SA 4.0 license only when their inclusion under that license is authorized.
Materials excluded from the license must be clearly identified with appropriate copyright notices and attribution. Authors are responsible for obtaining any necessary permissions, while users must comply with the applicable licensing terms or permissions when reusing excluded materials.
Copyright and Licensing Information
Copyright and licensing information should be clearly displayed on each published article's landing page and included in the full-text versions (HTML and PDF), where applicable, to ensure transparency regarding copyright ownership and permitted reuse.



