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

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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.

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