Set-Valued Interpolative Hardy–Rogers and Set-Valued Reich–Rus–?iri?-Type Contractions in b -Metric Spaces

Pradip Debnath and Manuel de La Sen
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Pradip Debnath: Department of Applied Science and Humanities, Assam University, Silchar, Cachar, Assam 788011, India
Manuel de La Sen: Institute of Research and Development of Processes, University of the Basque Country, Campus of Leioa, 48940 Leioa (Bizakaia), Spain

Mathematics, 2019, vol. 7, issue 9, 1-7

Abstract: In this paper, using an interpolative approach, we investigate two fixed point theorems in the framework of a b -metric space whose all closed and bounded subsets are compact. One of the theorems is for set-valued Hardy–Rogers-type and the other one is for set-valued Reich–Rus–?iri?-type contractions. Examples are provided to validate the results.

Keywords: fixed point; b -metric space; set-valued map; contraction map (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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