Hybrid fixed point theorems of graphic contractions with applications

Jamilu Abubakar Jiddah; Mohammed Shehu Shagari; Maha Noorwali; Ahmad Aloqaily; Nabil Mlaiki

doi:10.1016/j.heliyon.2024.e31269

Hybrid fixed point theorems of graphic contractions with applications

Jamilu Abubakar Jiddah
, Mohammed Shehu Shagari
, Maha Noorwali
, Ahmad Aloqaily
, Nabil Mlaiki

Federal University of Technology, Minna
Ahmadu Bello University
King Abdulaziz University
Prince Sultan University (PSU)

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

12 Downloads (Pure)

Abstract

In this work, a family of hybrid contractions, termed Jaggi-type hybrid (ℵ-τ)-contractive mapping is proposed in metric space equipped with a graph and new conditions under which the mapping is a Picard operator are studied. The novel ideas proposed in this manuscript are exemplified to display the validity of the presented results and to show how they differ from the existing ones. Additionally, some corollaries which reduce our proposed notion to some recently announced concepts in the existing findings are indicated and examined. Finally, we study Ulam-type stability for the fixed point equations with hybrid contractions.

Original language	English
Article number	e31269
Number of pages	13
Journal	Heliyon
Volume	10
Issue number	10
DOIs	https://doi.org/10.1016/j.heliyon.2024.e31269
Publication status	Published - 30 May 2024

Keywords

Fixed point
Graphic contraction
Hybrid contractive mapping
Jaggi-type contractive mapping
Picard operator
Ulam stability

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10.1016/j.heliyon.2024.e31269Licence: CC BY

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Cite this

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title = "Hybrid fixed point theorems of graphic contractions with applications",

abstract = "In this work, a family of hybrid contractions, termed Jaggi-type hybrid (ℵ-τ)-contractive mapping is proposed in metric space equipped with a graph and new conditions under which the mapping is a Picard operator are studied. The novel ideas proposed in this manuscript are exemplified to display the validity of the presented results and to show how they differ from the existing ones. Additionally, some corollaries which reduce our proposed notion to some recently announced concepts in the existing findings are indicated and examined. Finally, we study Ulam-type stability for the fixed point equations with hybrid contractions.",

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AU - Jiddah, Jamilu Abubakar

AU - Shehu Shagari, Mohammed

AU - Noorwali, Maha

AU - Aloqaily, Ahmad

AU - Mlaiki, Nabil

PY - 2024/5/30

Y1 - 2024/5/30

N2 - In this work, a family of hybrid contractions, termed Jaggi-type hybrid (ℵ-τ)-contractive mapping is proposed in metric space equipped with a graph and new conditions under which the mapping is a Picard operator are studied. The novel ideas proposed in this manuscript are exemplified to display the validity of the presented results and to show how they differ from the existing ones. Additionally, some corollaries which reduce our proposed notion to some recently announced concepts in the existing findings are indicated and examined. Finally, we study Ulam-type stability for the fixed point equations with hybrid contractions.

AB - In this work, a family of hybrid contractions, termed Jaggi-type hybrid (ℵ-τ)-contractive mapping is proposed in metric space equipped with a graph and new conditions under which the mapping is a Picard operator are studied. The novel ideas proposed in this manuscript are exemplified to display the validity of the presented results and to show how they differ from the existing ones. Additionally, some corollaries which reduce our proposed notion to some recently announced concepts in the existing findings are indicated and examined. Finally, we study Ulam-type stability for the fixed point equations with hybrid contractions.

KW - Fixed point

KW - Graphic contraction

KW - Hybrid contractive mapping

KW - Jaggi-type contractive mapping

KW - Picard operator

KW - Ulam stability

UR - https://www.scopus.com/pages/publications/85193434518

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DO - 10.1016/j.heliyon.2024.e31269

M3 - Article

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SN - 2405-8440

VL - 10

JO - Heliyon

JF - Heliyon

IS - 10

M1 - e31269

ER -

Hybrid fixed point theorems of graphic contractions with applications

Abstract

Keywords

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