Geodesic
Inertial iterative method for a generalized mixed equilibrium, variational inequality and a fixed point problems for a family of quasi-ϕ-nonexpansive mappings
Filomat, Tome 37 (2023) no. 18, p. 6133

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DOI

We introduce an inertial type gradient projection hybrid iterative method for finding a common solution of generalized mixed equilibrium, variational inequality and fixed point problems in a two uniformly convex and uniformly smooth Banach space. Next, we analyze the strong convergence for a common solution of problem. Furthermore, we carry out some consequences and present a numerical example to show and tell the applicability of main theorem. Our result improves, unifies, generalizes and extends ones from several earlier works.
DOI : 10.2298/FIL2318133F
Classification : 47H10, 47J22, 47J25
Keywords: Quasi-ϕ-nonexpansive mapping, fixed point problem, variational inequality problem, generalized mixed equilibrium problem, inertial hybrid iterative method, Banach space 
Mohammad Farid; Rehan Ali; Kaleem Raza Kazmi. Inertial iterative method for a generalized mixed equilibrium, variational inequality and a fixed point problems for a family of quasi-ϕ-nonexpansive mappings. Filomat, Tome 37 (2023) no. 18, p. 6133 . doi: 10.2298/FIL2318133F
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     title = {Inertial iterative method for a generalized mixed equilibrium, variational inequality and a fixed point problems for a family of quasi-\ensuremath{\phi}-nonexpansive mappings},
     journal = {Filomat},
     pages = {6133 },
     year = {2023},
     volume = {37},
     number = {18},
     doi = {10.2298/FIL2318133F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2318133F/}
}
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