Geodesic
Fixed points theorems for enriched non-expansive mappings in geodesic spaces
Filomat, Tome 37 (2023) no. 11, p. 3403

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DOI

The purpose of this paper is to extend a class of enriched non-expansive mappings from linear spaces to nonlinear spaces, namely, geodesic metric spaces of non-positive curvature. We prove that an enriched non-expansive mapping in complete CAT(0) space has fixed points. Moreover, we also propose simplified Mann iteration process to approximate fixed points of enriched non-expansive mappings by △ and strong convergence in CAT(0) spaces.
DOI : 10.2298/FIL2311403A
Classification : 47H09, 47H10, 54H25
Keywords: CAT(0) space, Enriched non-expansive mapping, △-convergence, Strong convergence, Simplified Mann iteration, Fixed points 
Javid Ali; Mohd Jubair. Fixed points theorems for enriched non-expansive mappings in geodesic spaces. Filomat, Tome 37 (2023) no. 11, p. 3403 . doi: 10.2298/FIL2311403A
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     author = {Javid Ali and Mohd Jubair},
     title = {Fixed points theorems for enriched non-expansive mappings in geodesic spaces},
     journal = {Filomat},
     pages = {3403 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311403A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311403A/}
}
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