# On the Convergence of Implicit Iterative Processes for Asymptotically Pseudocontractive Mappings in the Intermediate Sense

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Let C be a nonempty closed and convex subset of a Hilbert space H, let T and S : C â†’ C be two commutative generalized asymptotically nonexpansive mappings. We introduce an implicit iteration process of S and T defined by xn = Î±nx0 + ( 1 - Î±n)(2/((n + 1) (n +...

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Let {Ti}i=1N be N strictly pseudononspreading mappings defined on closed convex subset C of a real Hilbert space H. Consider the problem of finding a common fixed point of these mappings and introduce cyclic algorithms based on general viscosity iteration method for solving this problem. We will...

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In this paper, we introduce an iterative scheme for finding a common element of the set solutions of quasi-variational inclusion problems, fixed point problems, and generalized equilibrium problems in Hilbert spaces. Under suitable conditions, some strong convergence theorem for a sequence of...