Weak and strong convergence theorems for $m$-generalized hybrid mappings in Hilbert spaces

Sattar Alizadeh, Fridoun Moradlou

DOI: http://dx.doi.org/10.12775/TMNA.2015.049

Abstract


In this paper, we prove a weak convergence theorem of Ishikawa's type for $m$-generalized hybrid mappings in a Hilbert space. Further, by using a new modification of Ishikawa iteration, we prove a strong convergence theorem for $m$-generalized hybrid mappings in a Hilbert space.

Keywords


Fixed point, Hilbert space, hybrid method, strongconvergence, weak convergence

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