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

Author

Listed:
  • 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)

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–Ćirić-type contractions. Examples are provided to validate the results.

Suggested Citation

  • Pradip Debnath & Manuel de La Sen, 2019. "Set-Valued Interpolative Hardy–Rogers and Set-Valued Reich–Rus–Ćirić-Type Contractions in b -Metric Spaces," Mathematics, MDPI, vol. 7(9), pages 1-7, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:849-:d:267208
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