... the recent result of Li et al [26], Matsushita and Takahashi [35], Takahashi et al [43], Nakajo and Takahashi [41] and Shehu [45] and others Preliminaries A Banach space E is said to be strictly ... space and Takahashi and Zembayashi [12] in a Banach space, Zhang [16] obtain the following lemma: 13 Lemma 2.8 Let C be a closed convex subset ofa smooth, strictly convex and reflexive Banach ... Kimura, Y, Takahashi, W, Toyoda, M: Approximation of common fixed points ofa countable familyof nonexpansive mappings in a Banach space Nonlinear Anal 67, 2350–2360 (2007) [43] Takahashi, W, Takeuchi,...
... the recent result of Li et al [26], Matsushita and Takahashi [35], Takahashi et al [43], Nakajo and Takahashi [41] and Shehu [45] and others Preliminaries A Banach space E is said to be strictly ... space and Takahashi and Zembayashi [12] in a Banach space, Zhang [16] obtain the following lemma: 13 Lemma 2.8 Let C be a closed convex subset ofa smooth, strictly convex and reflexive Banach ... Kimura, Y, Takahashi, W, Toyoda, M: Approximation of common fixed points ofa countable familyof nonexpansive mappings in a Banach space Nonlinear Anal 67, 2350–2360 (2007) [43] Takahashi, W, Takeuchi,...
... a common fixed points ofa countable familyof relatively quasi-nonexpansive mappings, in a uniformly convex and uniformly smooth Banach space Saewan and Kumam Fixed Point Theory and Applications ... satisfies (A1 )- (A4 ) The following result is in Blum and Oettli [1] Motivated by Combettes and Hirstoaga [3] in a Hilbert space and Taka-hashi and Zembayashi [12] in a Banach space, Zhang [16] obtain ... doi:10.1007/s10483-009-0904-6 17 Alber, Y: Metric and generalized projection operators in Banach spaces: Properties and applications In: Kartsatos A (ed.) Theory and Applications of Nonlinear Operators of Accretive and Monotone...
... and because of the proper choose of the parameters g and b, this paper includes the methods of [2,6] and [5] All the schemes are stable for any combination ofdiscontinuous discrete concentration, ... formulation in which an appropriately weighted residual of the Darcy law is added to the standard mixed formulation In Hughes-Masud-Wan [5], the method was extend within the discontinuousGalerkin ... mathematically viable, and we also believe it may be practically useful It generalizes and encompasses all the successful elements described in [2,6] and [5] Optimal error estimate are obtained for the...
... doi:10.1016/j.jmaa.2005.03.055 Shahzad, N, Markin, J: Invariant approximations for commuting mappings in CAT(0) and hyperconvex spaces J Math Anal Appl 337 (2008) Dhompongsa, S, Khaewcharoen, A, Khaewkhao, A: ... following proposition is needed fora proof of Theorem 3.2 Proposition 3.7 Let A be a compact convex subset ofa Banach space X and let a nonempty subset F ofA be a nonexpansive retract ofA ... financial support Author details Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand 2Materials Science Research Center, Faculty of Science, Chiang...
... this article as: Bunyawat and Suantai: Strong convergence theorems for variational inequalities and fixed points ofa countable familyof nonexpansive mappings Fixed Point Theory and Applications ... 2Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand Authors’ contributions AB study and researched nonlinear analysis and also wrote this article SS participated ... motivated and inspired by Klin-eam and Suantai [6], we introduced the following iteration to find some solutions of variational inequality and fixed points of countable familyof nonexpansive mappings...
... et al [20] and Kimura and Nakajo [15] Lemma 2.3 [15]Let C be a nonempty, closed, and convex subset ofa uniformly convex Banach space E and {Sn} be afamilyof nonexpansive mappings of C into ... sets of nonexpansive mappings in Banach spaces Trans Am Math Soc 179, 251–262 (1973) 20 Aoyama, K, Kimura, Y, Takahashi, W, Toyoda, M: Approximation of common fixed points ofa countable familyof ... Cite this article as: Kamraksa and Wangkeeree: Existence and iterative approximation for generalized equilibrium problems fora countable familyof nonexpansive mappings in banach spaces Fixed...
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