Geodesic
Modified multistep iteration for approximating a general class of functions in Locally Convex Spaces
Hudson Akewe1 ; Hudson Akewe
1Department of Mathematics, University of Lagos, Akoka, Yaba
Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 1, pp. 39-45 
Hudson Akewe; Hudson Akewe. Modified multistep iteration for approximating a general class of functions in Locally  Convex Spaces. Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 1, pp. 39-45. http://geodesic.mathdoc.fr/item/AMUC_2014_83_1_a3/
@article{AMUC_2014_83_1_a3,
     author = {Hudson Akewe and Hudson Akewe},
     title = { Modified multistep iteration for approximating a general class of functions in {Locally}  {Convex} {Spaces}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {39--45},
     year = {2014},
     volume = {83},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2014_83_1_a3/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we study the convergence of modied multistep iteration and use the scheme to approximate the fixed point of a general class of functions introduced by Bosede and Rhoades [5] in a complete metrisable locally convex space. As corollaries, the convergence results for SP and Mann iterations are also established. Moreover, most convergence results in Banach spaces are generalized to complete metrisable locally convex spaces. Our convergence results generalize and extend the results of Berinde [2], Olaleru [11], Phuengrattana and Suantai [13], Raq [14] among others.