Geodesic
General iterative methods for common fixed points of asymptotically nonexpansive mappings
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2.

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In this paper, we study an iterative process for approximating a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings with variational inequality problem in uniformly convex Banach space with uniformly G\^{a}teaux teaux differentiable norm. We prove a strong convergence theorem under some suitable conditions. Our result is applicable in $L_{p}(\ell_{p})$ spaces, $1 p \infty$ (and consequently in Sobolev spaces). Our results improve and generalize some well-known results in the literature.
Publié le :
DOI : 10.30755/NSJOM.10799
Classification : 47H09, 47H10
Keywords: Fixed point, $\eta$-strongly accretive maps, $\mu$-strictly pseudocontractive mapping, Variational inequality, asymptotically nonexpansive mapping 
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     author = {Godwin Chidi Ugwunnadi},
     title = {General iterative methods for common fixed points of asymptotically nonexpansive mappings},
     journal = {Novi Sad Journal of Mathematics},
     pages = {47 - 74},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2021},
     doi = {10.30755/NSJOM.10799},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10799/}
}
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Godwin Chidi Ugwunnadi. General iterative methods for common fixed points of asymptotically nonexpansive mappings. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2. doi : 10.30755/NSJOM.10799. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10799/

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