Geodesic
Approximation and existence of fixed points via interpolative enriched contractions
Filomat, Tome 37 (2023) no. 16, p. 5455

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DOI

In this paper, we define interpolative enriched contractions of Kannan type, Hardy-Rogers type and Matkowski type, by enriching existing interpolative contractions, in the setting of convex metric space. For these newly introduced contractions, we prove existence of fixed points and approximation results using Krasnoselskij iteration. Examples are also given to indicate the relevance of our results in comparison to some of the existing ones in the literature.
DOI : 10.2298/FIL2316455R
Classification : 47H10, 41A65, 46L52
Keywords: Convex metric space, Interpolative enriched contractions, Fixed point 
Shivam Rawat; Ayush Bartwal; R C Dimri. Approximation and existence of fixed points via interpolative enriched contractions. Filomat, Tome 37 (2023) no. 16, p. 5455 . doi: 10.2298/FIL2316455R
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     title = {Approximation and existence of fixed points via interpolative enriched contractions},
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     pages = {5455 },
     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2316455R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2316455R/}
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