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Journals / Proceedings of International Mathematical Sciences / 2026 / Volume: 8 Issue: 1

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

Hatice Aslan Hançer(Kırıkkale University,Faculty of Science and Arts,Department of Mathematics)0000-0001-5928-9599
Ayşe Tuba Altun(KIRIKKALE UNIVERSITY)0009-0009-5627-0521
Pages
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Publication Date
2026-06-29
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We also provide a compact valued version based on Mizoguchi-Takahashi functions and clarify certain technical issues in earlier two metric fixed point theorems.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we establish new fixed point theorems for multivalued Klim-Wardowski type contractions on spaces equipped with two metrics.
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Key Findings & Data: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.
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Conclusion & Impact:We also provide a compact valued version based on Mizoguchi-Takahashi functions and clarify certain technical issues in earlier two metric fixed point theorems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · multivalued mapping · Feng-Liu type contraction

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.

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Cite This Article

Hançer, H. A., Altun, A. T. (2026). Multivalued contractions of Klim-Wardowski type on a set with two metrics. Proceedings of International Mathematical Sciences, Volume: 8 Issue: 1. https://doi.org/10.47086/pims.1834625

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