Geodesic
Relation-theoretic fixed point results for set-valued mappings via simulation functions with an application
Filomat, Tome 36 (2022) no. 6, p. 1943

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DOI

In this article, we adopt the idea of set-valued (Z, ℜ)-contractions and establish some fixed point results for such contractions in metric spaces utilizing binary relation. To validate our newly obtained results, we also provide some illustrative examples. Finally, we apply our results to solve a family of nonlinear matrix equations under suitable assumptions.
DOI : 10.2298/FIL2206943I
Classification : 47H10, 54H25
Keywords: Fixed points, set-valued mapping, (Z, ℜ)-contraction, simulation function, binary relation, nonlinear matrix equation 
M Imdad; M Hasanuzzaman; W M Alfaqih. Relation-theoretic fixed point results for set-valued mappings via simulation functions with an application. Filomat, Tome 36 (2022) no. 6, p. 1943 . doi: 10.2298/FIL2206943I
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     title = {Relation-theoretic fixed point results for set-valued mappings via simulation functions with an application},
     journal = {Filomat},
     pages = {1943 },
     year = {2022},
     volume = {36},
     number = {6},
     doi = {10.2298/FIL2206943I},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206943I/}
}
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