Fixed point results for inward and outward enriched Kannan mappings

Yahya Almalki; Muhammad Usman Ali; Monairah Alansari; Yahya Almalki; Muhammad Usman Ali; Monairah Alansari

doi:10.3934/math.2025149

AIMS Mathematics

2025, Volume 10, Issue 2: 3207-3226. doi: 10.3934/math.2025149

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Fixed point results for inward and outward enriched Kannan mappings

1.
Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia
2.
Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Islamabad, Pakistan
3.
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received: 04 December 2024 Revised: 13 February 2025 Accepted: 17 February 2025 Published: 20 February 2025
MSC : 37C25, 47H10

This article presents the concepts of inward and outward enriched Kannan mappings, as well as inward and outward enriched Bianchini mappings. Through appropriate results based on certain conditions, the article also examines the existence of fixed points for such mappings. Some examples are also developed to support the presented notions and results.
- enriched Kannan mapping,
- enriched Bianchini mapping,
- fixed points
Citation: Yahya Almalki, Muhammad Usman Ali, Monairah Alansari. Fixed point results for inward and outward enriched Kannan mappings[J]. AIMS Mathematics, 2025, 10(2): 3207-3226. doi: 10.3934/math.2025149

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Abstract

This article presents the concepts of inward and outward enriched Kannan mappings, as well as inward and outward enriched Bianchini mappings. Through appropriate results based on certain conditions, the article also examines the existence of fixed points for such mappings. Some examples are also developed to support the presented notions and results.

References

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