Strong Convergence Theorem
On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators
... The main purpose of our paper is to establish the strong convergence theorem for three-step Noor iterative scheme for more general operators Zamfirescu operators in arbitrary Banach spaces. The ...
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A strong convergence theorem for Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense
... Recently, many authors have studied further new hybrid iterative schemes in the frame- work of real Banach spaces; for instance, see [–]. Qin and Wang [] have introduced a new class of mappings which are ...
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A strong convergence theorem for generalized-Φ-strongly monotone maps, with applications
... a strong convergence theorem for a generalized-Φ-strongly monotone map using a Mann-type iterative algorithm and with- out imposing the restriction that the operator be ...the convergence ...
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Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities
... In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular ...
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Strong convergence theorem of a new iterative method for weak contractions and comparison of the rate of convergence in Banach space
... prove strong convergence theorem of the proposed method under some control ...of convergence between the Noor iteration and our ...Keywords: strong convergence; rate of ...
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A Strong Convergence Theorem for a Family of Quasi--Nonexpansive Mappings in a Banach Space
... a strong convergence theorem for a family of closed and quasi-φ-nonexpansive mappings by using new analysis techniques in the setting of reflexive, strictly convex, and smooth Banach spaces with the ...
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Strong convergence theorem for monotone operators and strict pseudo-nonspreading mapping
... Recently, in the case where T : C → C is a nonexpansive mapping, A : C → H is an α − inverse strongly monotone mapping, and B ⊂ H × H is a maximal monotone operator, Takahashi et al. [13] proved a strong ...
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Strong Convergence Theorem for Equilibrium Problems and Fixed Points of a Nonspreading Mapping in Hilbert Spaces
... a strong convergence theorem for finding solution of equilibrium problems and the set of fixed points of a nonspreading mapping in Hilbert ...
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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 Theorem for a New General System of Variational Inequalities in Banach Spaces
... From now on we denote by Ω ∗ the set of all fixed points of the mapping G. Now we prove the strong convergence theorem of algorithm 1.18 for solving problem 1.17. Theorem 3.4. Let C be a ...
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Strong convergence theorem of two step iterative algorithm for split feasibility problems
... The main purpose of this paper is to introduce a two-step iterative algorithm for split feasibility problems such that the strong convergence is guaranteed. Our result extends and improves the corresponding ...
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Strong convergence theorem for total quasi-ϕ-asymptotically nonexpansive mappings in a Banach space
... prove strong convergence of a new hybrid projection algorithm for a fixed point of total quasi-φ -asymptotically nonexpansive multi-valued mappings, the solution of the equilib- rium problem, a zero point of ...
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Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space
... Up to now, fixed points iteration processes for nonexpansive and asymptotically nonexpansive mappings have been studied extensively by many authors to solve nonlinear operator equations as well as variational ...
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A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
... We introduce a new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach space. Then, we study the ...
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A strong convergence theorem for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings
... Martinez-Yanes and Xu [] considered the hybrid projection algorithm for a single non- expansive mapping in a Hilbert space. Strong convergence theorems are established under condition (C) only imposed on ...
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Strong convergence theorem for strict pseudo contractions in Hilbert spaces
... 2015:17, 2015, we study a modified Mann method to approximate strongly fixed points of strict pseudo-contractive mappings.. In Hussain et al.[r] ...
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A new strong convergence Theorem for Lipschitzian strongly pseudocontractive Mappings in a real Banach space
... In this paper we prove the strong convergence of a new iteration scheme to a common fixed point of a finite family of Lipschitz strongly pseudocontractive mappings in a real Banach spac[r] ...
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A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces
... Recently, for the purpose of generality, the SFP (.) has been studied in a more general setting. For instance, see [, ]. However, the algorithms in these references have only weak convergence in the setting ...
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Strong Convergence Theorem for Finite Family of Generalised Asymptotically Nonexpansive Maps
... and Shahzad N., Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings, Fixed Point Theory Appl., 2013(2013), Article ID 1..[r] ...
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Strong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spaces
... a strong convergence theorem to approximate a fixed point of a nonexpansive mapping, while the main result of the present paper gives a strong convergence theorem to approximate ...
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