Geodesic
Iterative approximation of a solution of system of generalized nonlinear variational-like inclusions and a fixed point of total asymptotically nonexpansive mappings
Filomat, Tome 37 (2023) no. 21, p. 7149

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This paper investigates the problem of finding a point lying in the intersection of the set of solutions of a system of generalized nonlinear variational-like inclusions and the set of fixed points of a total asymptotically nonexpansive mapping. To achieve this aim, a new iterative algorithm is suggested. Finally, the strong convergence and stability of the sequence generated by our proposed iterative algorithm to a common point of the above two sets are proved. The results presented in this paper are new, and improve and generalize many known corresponding results.
DOI : 10.2298/FIL2321149B
Classification : 47H05, 47H06, 47H09, 47J22, 47J25, 49J40, 47J20
Keywords: System of generalized nonlinear variational-like inclusions, accretive mappings, total asymptotically nonexpansive mappings, fixed point problem, resolvent operator technique 
Javad Balooee; Mihai Postolache; Yonghong Yao. Iterative approximation of a solution of system of generalized nonlinear variational-like inclusions and a fixed point of total asymptotically nonexpansive mappings. Filomat, Tome 37 (2023) no. 21, p. 7149 . doi: 10.2298/FIL2321149B
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     title = {Iterative approximation of a solution of system of generalized nonlinear variational-like inclusions and a fixed point of total asymptotically nonexpansive mappings},
     journal = {Filomat},
     pages = {7149 },
     year = {2023},
     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321149B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321149B/}
}
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