A note on fixed point theory for multivalued mappings

Al-Izeri, Abdul-Majeed; Latrach, Khalid

doi:10.24193/fpt-ro.2023.1.12

FPT-RO

2023

DOI: 10.24193/fpt-ro.2023.1.12

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A note on fixed point theory for multivalued mappings

Abdul-Majeed Al-Izeri

Khalid Latrach

Abstract: In this paper, we establish two fixed point theorems of Himmelberg's type for multivalued maps. Using abstract measures of weak noncompactness, these results are applied to derive some fixed point theorems of Sadovskii's type.

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2024

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Answers to questions on Kannan's fixed point theorem in strong $ b $-metric spaces

Wang,

He,

Liu

2024

MATH

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<abstract><p>Our purpose of this paper is to answer several open questions posed by Doan (AIMS Math., 6 (2021), 7895–7908). First, we present two fixed point theorems, which are positive answers to Doan's questions. Second, we establish a new type of Riech's fixed point theorem to improve a result of Doan. Finally, we offer a straightforward example illustrating that a set-valued mapping satisfying the conditions of our fixed point theorem may has more than one fixed point.</p></abstract>

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Answers to questions on Kannan's fixed point theorem in strong $ b $-metric spaces

Wang,

He,

Liu

2024

MATH

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A note on fixed point theory for multivalued mappings

Abstract: In this paper, we establish two fixed point theorems of Himmelberg's type for multivalued maps. Using abstract measures of weak noncompactness, these results are applied to derive some fixed point theorems of Sadovskii's type.

Cited by 1 publication

References 11 publications

Answers to questions on Kannan's fixed point theorem in strong $ b $-metric spaces

Answers to questions on Kannan's fixed point theorem in strong $ b $-metric spaces

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