Geodesic
Fixed points theorems for (φ, ψ, p)-weakly contractive mappings via w-distance in relational metric spaces with applications
Filomat, Tome 37 (2023) no. 21, p. 693

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DOI

In this paper, we establish certain fixed point theorems for (φ, ψ, p)-weakly contractive mappings on relational metric spaces by using the notion of w-distance and locally S-transitivity of binary relation. Our results generalize the results of Alam and Imdad (J. many others of the existing literature. Moreover, we have an application to the nonlinear Fredholm integral equations and some illustrative examples to reveal the usability of our findings.
DOI : 10.2298/FIL2321319A
Classification : 47H10, 54H25
Keywords: fixed point, contraction mappings, binary relation, altering distance function 
Swati Antal; Deepak Khantwal; Smita Negi; U C Gairola. Fixed points theorems for (φ, ψ, p)-weakly contractive mappings via w-distance in relational metric spaces with applications. Filomat, Tome 37 (2023) no. 21, p. 693 . doi: 10.2298/FIL2321319A
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     title = {Fixed points theorems for (\ensuremath{\varphi}, \ensuremath{\psi}, p)-weakly contractive mappings via w-distance in relational metric spaces with applications},
     journal = {Filomat},
     pages = {693 },
     year = {2023},
     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321319A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321319A/}
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