Geodesic
Fixed-point theorems using interpolative Boyd-Wong-type contractions and interpolative Matkowski-type contractions on partial $b$-metric spaces
Problemy analiza, Tome 14 (2025) no. 1, pp. 107-118

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This article introduces interpolative contractions of both Boyd-Wong and Matkowski types in the framework of partial $b$-metric spaces. We derive fixed-point theorems for these two contractions and incorporate examples to emphasize the practical relevance of our findings.
Keywords: partial $b$-metric space, interpolative Boyd-Wong contraction, interpolative Matkowski contraction, fixed point. 
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     author = {A. Gupta and R. Mansotra},
     title = {Fixed-point theorems using interpolative {Boyd-Wong-type} contractions and interpolative {Matkowski-type} contractions on partial $b$-metric spaces},
     journal = {Problemy analiza},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2025_14_1_a6/}
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A. Gupta; R. Mansotra. Fixed-point theorems using interpolative Boyd-Wong-type contractions and interpolative Matkowski-type contractions on partial $b$-metric spaces. Problemy analiza, Tome 14 (2025) no. 1, pp. 107-118. http://geodesic.mathdoc.fr/item/PA_2025_14_1_a6/