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On multivalued P-contractive mappings that belongs to class of weakly Picard operators | |
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Fixed Point Theory, Volume 22, No. 2, 2021, 663-670, July 1st, 2021 DOI: 10.24193/fpt-ro.2021.2.43 Authors: Hatice Aslan Hançer Abstract: In the present paper, by introducing the P-contractivity of a multivalued mapping, we give a new class of multivalued weakly Picard operators on complete metric spaces and show that the class of multivalued contractions is a proper subset of this new class. We also give a nontrivial example showing this fact. Key Words and Phrases: Fixed point, multivalued mapping, weakly Picard operator. 2010 Mathematics Subject Classification: 54H25, 47H10. Published on-line: July 1st, 2021.
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