نتایج جستجو برای: strictly pseudocontractive mapping

تعداد نتایج: 230365  

2009
B. E. RHOADES ŞTEFAN M. ŞOLTUZ

We prove that Mann and Ishikawa iterations are equivalent models dealing with ψ-uniformly pseudocontractive or d-weakly contractive maps without bounded range.

Journal: :Int. J. Math. Mathematical Sciences 2006
B. E. Rhoades Stefan M. Soltuz

We show the convergence of an implicit mean value iteration when applied to uniformly pseudocontractive maps. Remarks about other implicit mean value iterations are given.

2004
C. E. CHIDUME

Let D be an open subset of a real uniformly smooth Banach space E. Suppose T : D̄ → E is a demicontinuous pseudocontractive mapping satisfying an appropriate condition, where D̄ denotes the closure ofD. Then, it is proved that (i) D̄ ⊆ (I + r(I −T)) for every r > 0; (ii) for a given y0 ∈ D, there exists a unique path t → yt ∈ D̄, t ∈ [0,1], satisfying yt := tT yt + (1− t)y0. Moreover, if F(T) = ∅ o...

2007
Lu-Chuan Ceng B. T. Kien N. C. Wong

In this paper we introduce a hybrid relaxed-extragradient method for finding a common element of the set of common fixed points of N nonexpansive mappings and the set of solutions of the variational inequality problem for a monotone, Lipschitz-continuous mapping. The hybrid relaxed-extragradient method is based on two well-known methods: hybrid and extragradient. We derive a strong convergence ...

Journal: :Rendiconti Del Circolo Matematico Di Palermo 2023

Abstract The aim of this paper to present some weak and strong convergence results for countable family non-self mappings. More precisely, we employ the Mann–Dotson’s algorithm approximate common fixed points a k -strict Pseudocontractive mappings in q -uniformly smooth Banach spaces.

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