INTERPOLATIVE HARDY-ROGERS AND REICH-RUS-ĆIRIĆ TYPE CONTRACTIONS IN $\boldsymbol b$-METRIC SPACES AND RECTANGULAR $\boldsymbol b$-METRIC SPACES

Authors

  • P. Debnath Department of Applied Science and Humanities, Assam University, Silchar, Cachar, Assam - 788011, India Author
  • Z. D. Mitrović University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78 000 Banja Luka, Bosnia and Herzegovina Author
  • S. Radenović Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, Serbia Author

Keywords:

Fixed point, $b$-metric space, rectangular $b$-metric space, contraction map

Subjects:

47H10, 54H25, 54E50

Abstract

In this paper, we investigate two fixed point theorems in the framework of $b$-metric spaces and rectangular $b$-metric spaces, using interpolative approach. One is Hardy-Rogers and the other is Reich-Rus-{Ć}iri{ć} type contraction. Examples are provided in support of the results.

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Published

2020-10-15

Issue

Vol. 72 No. 4 (2020): Vol. 72, Issue 4

Section

Articles

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Copyright (c) 2020 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.