MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
INTERPOLATIVE HARDY-ROGERS AND REICH-RUS-ĆIRIĆ TYPE CONTRACTIONS IN $\boldsymbol b$-METRIC SPACES AND RECTANGULAR $\boldsymbol b$-METRIC SPACES
P. Debnath, Z. D. Mitrović, S. Radenović

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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Keywords: Fixed point; $b$-metric space; rectangular $b$-metric space; contraction map.

MSC: 47H10, 54H25, 54E50

Pages:  368--374     

Volume  72 ,  Issue  4 ,  2020