Research Article

Multivalued contractions of Klim-Wardowski type on a set with two metrics

Volume: 8 Number: 1 June 29, 2026

Multivalued contractions of Klim-Wardowski type on a set with two metrics

Abstract

In this paper, we establish new fixed point theorems for multivalued Klim-Wardowski type contractions on spaces equipped with two metrics. By integrating Maia's two metric framework with ϕ-contractive conditions, we generalize and unify several classical results, including those of Nadler, Feng-Liu, and Klim-Wardowski. We also provide a compact valued version based on Mizoguchi-Takahashi functions and clarify certain technical issues in earlier two metric fixed point theorems.

Keywords

References

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Details

Primary Language

English

Subjects

Theoretical and Applied Mechanics in Mathematics

Journal Section

Research Article

Publication Date

June 29, 2026

Submission Date

December 2, 2025

Acceptance Date

June 21, 2026

Published in Issue

Year 2026 Volume: 8 Number: 1

APA
Aslan Hançer, H., & Altun, A. T. (2026). Multivalued contractions of Klim-Wardowski type on a set with two metrics. Proceedings of International Mathematical Sciences, 8(1), 1-8. https://doi.org/10.47086/pims.1834625
AMA
1.Aslan Hançer H, Altun AT. Multivalued contractions of Klim-Wardowski type on a set with two metrics. PIMS. 2026;8(1):1-8. doi:10.47086/pims.1834625
Chicago
Aslan Hançer, Hatice, and Ayşe Tuba Altun. 2026. “Multivalued Contractions of Klim-Wardowski Type on a Set With Two Metrics”. Proceedings of International Mathematical Sciences 8 (1): 1-8. https://doi.org/10.47086/pims.1834625.
EndNote
Aslan Hançer H, Altun AT (June 1, 2026) Multivalued contractions of Klim-Wardowski type on a set with two metrics. Proceedings of International Mathematical Sciences 8 1 1–8.
IEEE
[1]H. Aslan Hançer and A. T. Altun, “Multivalued contractions of Klim-Wardowski type on a set with two metrics”, PIMS, vol. 8, no. 1, pp. 1–8, June 2026, doi: 10.47086/pims.1834625.
ISNAD
Aslan Hançer, Hatice - Altun, Ayşe Tuba. “Multivalued Contractions of Klim-Wardowski Type on a Set With Two Metrics”. Proceedings of International Mathematical Sciences 8/1 (June 1, 2026): 1-8. https://doi.org/10.47086/pims.1834625.
JAMA
1.Aslan Hançer H, Altun AT. Multivalued contractions of Klim-Wardowski type on a set with two metrics. PIMS. 2026;8:1–8.
MLA
Aslan Hançer, Hatice, and Ayşe Tuba Altun. “Multivalued Contractions of Klim-Wardowski Type on a Set With Two Metrics”. Proceedings of International Mathematical Sciences, vol. 8, no. 1, June 2026, pp. 1-8, doi:10.47086/pims.1834625.
Vancouver
1.Hatice Aslan Hançer, Ayşe Tuba Altun. Multivalued contractions of Klim-Wardowski type on a set with two metrics. PIMS. 2026 Jun. 1;8(1):1-8. doi:10.47086/pims.1834625
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