Some Novel Proximal Point Results and Applications

Mudasir Younis; Mahpeyker Öztürk

doi:10.32323/ujma.1597874

EN

Some Novel Proximal Point Results and Applications

Abstract

The current study provides significant findings on coincidence the best proximity points for proximal-contractions in the context of extended $b$-metric spaces. To substantiate our assertions, we present illustrative examples across several circumstances. The conclusions presented in this study provide an expanded and more nuanced viewpoint, extending and generalizing multiple previous findings in optimal proximity theory. These findings present a new method for comprehending proximal coincidence locations in multi-valued mappings, representing a substantial advancement in the existing research landscape. This work gives practical benchmarks for implementing optimal proximity results, provided that existence and uniqueness constraints are met.

Keywords

Best proximity point, Boundary value problem, Coincidence point, Extended $b$--metric

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Mudasir Younis ^*
0000-0001-5499-4272
Türkiye

Mahpeyker Öztürk
0000-0003-2946-6114
Türkiye

Early Pub Date

February 23, 2025

Publication Date

March 25, 2025

Submission Date

December 7, 2024

Acceptance Date

February 22, 2025

Published in Issue

Year 2025 Volume: 8 Number: 1

DOI

https://doi.org/10.32323/ujma.1597874

IZ

https://izlik.org/JA25TH56GL

APA

Younis, M., & Öztürk, M. (2025). Some Novel Proximal Point Results and Applications. Universal Journal of Mathematics and Applications, 8(1), 8-20. https://doi.org/10.32323/ujma.1597874

AMA

1.Younis M, Öztürk M. Some Novel Proximal Point Results and Applications. Univ. J. Math. Appl. 2025;8(1):8-20. doi:10.32323/ujma.1597874

Chicago

Younis, Mudasir, and Mahpeyker Öztürk. 2025. “Some Novel Proximal Point Results and Applications”. Universal Journal of Mathematics and Applications 8 (1): 8-20. https://doi.org/10.32323/ujma.1597874.

EndNote

Younis M, Öztürk M (March 1, 2025) Some Novel Proximal Point Results and Applications. Universal Journal of Mathematics and Applications 8 1 8–20.

IEEE

[1]M. Younis and M. Öztürk, “Some Novel Proximal Point Results and Applications”, Univ. J. Math. Appl., vol. 8, no. 1, pp. 8–20, Mar. 2025, doi: 10.32323/ujma.1597874.

ISNAD

Younis, Mudasir - Öztürk, Mahpeyker. “Some Novel Proximal Point Results and Applications”. Universal Journal of Mathematics and Applications 8/1 (March 1, 2025): 8-20. https://doi.org/10.32323/ujma.1597874.

JAMA

1.Younis M, Öztürk M. Some Novel Proximal Point Results and Applications. Univ. J. Math. Appl. 2025;8:8–20.

MLA

Younis, Mudasir, and Mahpeyker Öztürk. “Some Novel Proximal Point Results and Applications”. Universal Journal of Mathematics and Applications, vol. 8, no. 1, Mar. 2025, pp. 8-20, doi:10.32323/ujma.1597874.

Vancouver

1.Mudasir Younis, Mahpeyker Öztürk. Some Novel Proximal Point Results and Applications. Univ. J. Math. Appl. 2025 Mar. 1;8(1):8-20. doi:10.32323/ujma.1597874

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Universal Journal of Mathematics and Applications

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Some Novel Proximal Point Results and Applications

Some Novel Proximal Point Results and Applications

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

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