strong convergence
Strong convergence of approximation fixed points for nonexpansive nonself mapping
... Kim, Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces, Nonlinear Analysis.. Xu, Approximating curves of nonexpansive nonself-mappings [r] ...
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Strong convergence for variational inequalities and equilibrium problems and representations
... the strong convergence of the proposed implicit schemes to the unique solution of a variational inequality, which is the optimality condition for a minimization problem and is also a common fixed point for ...
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Strong convergence of viscosity approximation methods for the fixed-point of pseudo-contractive and monotone mappings
... In this paper, we introduce a viscosity iterative process, which converges strongly to a common element of the set of fixed points of a pseudo-contractive mapping and the set of solutions of a monotone mapping. We also ...
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Some Explicit and Hybrid Strong Convergence Algorithms for Solving the Multiple-Sets Split Feasibility Problem
... In this section, we introduce several hybrid strong convergence algorithms to solve the multi-sets split feasibility problem (2). Namely, we want to find a solution x * of variational inequality (1) and ...
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Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups
... Motivated by T. Suzuki, we show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical programming. The results presented extend and ...
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Strong Convergence of Two Iterative Algorithms for Nonexpansive Mappings in Hilbert Spaces
... Suzuki, “Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces,” Fixed Point Theory and Applications , vol. Suzuki, “Strong convergence of a[r] ...
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Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces
... Suzuki, “Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces,” Fixed Point Theory and Applications , vol. Chen, “Strong convergence of an [r] ...
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Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings
... The purpose of this paper is to present a significant answer to the above open question. we will show that the sequence {α n } satisfying the conditions C1 and C2 is sufficient to guarantee the strong ...
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Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings
... The asymptotically nonexpansive mappings have been introduced by Goebel and Kirk in 1972. Since then, a large number of authors have studied the weak and strong convergence problems of the iterative ...
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Strong convergence properties for ψ mixing random variables
... strong convergence properties, Pan et al. [] for strong convergence of weighted sums, and so ...Khintchine-Kolmogorov-type convergence theorem, which can be applied to obtain the three ...
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Strong convergence of iterative algorithms for the split equality problem
... It is therefore the aim of this paper to construct a new algorithm for SEP so that strong convergence is guaranteed. The paper is organized as follows. In Section , we define the concept of the minimal norm ...
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Strong convergence of a modified proximal algorithm for solving the lasso
... In this paper, based on the viscosity iterative algorithm (.), we propose a modified formulation of the proximal algorithm (.). It is proved that the algorithm we propose can obtain strong convergence. ...
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Strong convergence of a general iterative algorithm in Hilbert spaces
... In this paper, based on a general iterative algorithm, we study the problem of approx- imating a common element in the common fixed point set of an infinite family of non- expansive mappings, in the solution set of a ...
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Strong Convergence of an Implicit Algorithm in CAT(0) Spaces
... their strong convergence play an important role in finding a common element of the set of fixed common fixed point for different classes of mappings and the set of solutions of an equilibrium problem in the ...
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Strong convergence of an iterative scheme for accretive operators in Banach spaces
... its strong convergence in a real Hilbert ...a strong convergence result of this iterative scheme in the setting of Banach spaces involving an inverse strongly accretive operator under some ...
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Strong convergence theorems for asymptotically k-strictly pseudocontractive maps
... very strong condition are imposed on the fixed-point set, F (T ) to obtain strong convergence using the usual Mann or the Ishikawa iteration process (see for example [1],[6],[23],[30]) ...achieve ...
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A strong convergence theorem of common elements in Hilbert spaces
... Recently, many authors studied the problems (.), (.) and (.) based on hybrid pro- jection methods; see, for example, [–] and the references therein. Motivated by these results, we investigated the common ...
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Strong convergence theorems for fixed points of nonlinear mappings
... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J. Kang, Convergence th[r] ...
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Strong convergence of a splitting algorithm for treating monotone operators
... weak convergence of PPA, many authors considered lots of different modifications; see [–] the references ...obtained strong convergence theorems in Hilbert space without any compact assumption but ...
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Strong convergence for asymptotically nonexpansive mappings in the intermediate sense
... prove strong convergence of the modified Ishikawa iteration process when T is an ANI self-mapping such that T(C) is contained in a compact subset of C, which generalizes the result due to Takahashi and Kim ...
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