Related Fixed Points of Multivalued Mappings of Two Related Orbitally Complete Metric Spaces

In the present paper, the concept of the related orbital completeness of two metric spaces for multivalued mappings is introduced. A new related fixed point theorem for multivalued mappings is proven, and some important results are obtained as corollaries of the main theorem. A single-valued version of the main theorem is also derived as a simple corollary, and two illustrative examples are provided.

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Journal
Axioms
Published
2025-07-24
DOI
https://doi.org/10.3390/axioms14080561
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Related Fixed Points of Multivalued Mappings of Two Related Orbitally Complete Metric Spaces

Hakan Karayılan
Axioms
Fixed Point Theorems Analysis
article

Related Fixed Points of Multivalued Mappings of Two Related Orbitally Complete Metric Spaces

Hakan Karayılan
article en

Abstract

In the present paper, the concept of the related orbital completeness of two metric spaces for multivalued mappings is introduced. A new related fixed point theorem for multivalued mappings is proven, and some important results are obtained as corollaries of the main theorem. A single-valued version of the main theorem is also derived as a simple corollary, and two illustrative examples are provided.

AxiomsVol. 14(8)
Trakya University (TR)
Openalex Percentile: Top 77%
Fixed Point Theorems Analysis
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Related Fixed Points of Multivalued Mappings of Two Related Orbitally Complete Metric Spaces — Hakan Karayılan · Axioms (2025) | TGRS Research Map | TGRS