W-interpolativé Ćirić-Reich-Rus type contractions on quasi-partial b-metric space
Filomat, Tome 35 (2021) no. 10, p. 3533

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Karapinar introduced the notion of interpolativé Cirić-Reich-Rus type contractions in the setting of complete metric space. Taking his approach forward, H. Aydi, initiated the concept of w-admissibility and proved some fixed point results on the same. This approach has been applied to partial-metric space as well. But the question is, can the above result be applied in quasi-partial b-metric space as well ? Our paper deals with the above raised question. The paper discusses how w-admissibility can be used to obtain fixed point results for Ćirić-Reich-Rus type contractions in quasi-partial b-metric space. Few examples are given to justify the result
DOI : 10.2298/FIL2110533G
Classification : 54H25, 47H10, 46T99
Keywords: Quasi-Partial b-Metric Space, w-interpolation, Ćirić-Reich-Rus Type Contraction Mapping, Fixed Point
Pragati Gautam; Swapnil Verma; Soumya Gulati. W-interpolativé Ćirić-Reich-Rus type contractions on quasi-partial b-metric space. Filomat, Tome 35 (2021) no. 10, p. 3533 . doi: 10.2298/FIL2110533G
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     author = {Pragati Gautam and Swapnil Verma and Soumya Gulati},
     title = {W-interpolativ\'e {\'Ciri\'c-Reich-Rus} type contractions on quasi-partial b-metric space},
     journal = {Filomat},
     pages = {3533 },
     year = {2021},
     volume = {35},
     number = {10},
     doi = {10.2298/FIL2110533G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2110533G/}
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