Approximating fixed points of -firmly nonexpansive mappings in Banach spaces.
Kim, Gang-Eun (2000)
International Journal of Mathematics and Mathematical Sciences
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Kim, Gang-Eun (2000)
International Journal of Mathematics and Mathematical Sciences
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Liu, Guimei, Lei, Deng, Li, Shenghong (2000)
International Journal of Mathematics and Mathematical Sciences
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Khan, A.R., Hussain, N. (2001)
International Journal of Mathematics and Mathematical Sciences
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Sharma, B.K., Thakur, B.S., Cho, Y.J. (1999)
International Journal of Mathematics and Mathematical Sciences
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Pathak, Hemant K., Khan, Mohammad S. (2001)
International Journal of Mathematics and Mathematical Sciences
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S. Naimpally, K. Singh, J. Whitfield (1984)
Fundamenta Mathematicae
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Khan, Abdul Rahim (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Xiaolong Qin, Yongfu Su, Meijuan Shang (2007)
Open Mathematics
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Let E be a uniformly convex Banach space and K a nonempty convex closed subset which is also a nonexpansive retract of E. Let T 1, T 2 and T 3: K → E be asymptotically nonexpansive mappings with k n, l n and j n. [1, ∞) such that Σn=1∞(k n − 1) < ∞, Σn=1∞(l n − 1) < ∞ and Σn=1∞(j n − 1) < ∞, respectively and F nonempty, where F = x ∈ K: T 1x = T 2x = T 3 x = xdenotes the common fixed points set of T 1, T 2 and T 3. Let α n, α′ n and α″ n be real sequences in (0, 1) and ∈ ≤ α...
Deng, Lei, Li, Shenghong (2000)
International Journal of Mathematics and Mathematical Sciences
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Vijayaraju, P. (1995)
International Journal of Mathematics and Mathematical Sciences
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Saeidi, Shahram (2010)
Fixed Point Theory and Applications [electronic only]
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A. Anthony Eldred, W. A. Kirk, P. Veeramani (2005)
Studia Mathematica
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The notion of proximal normal structure is introduced and used to study mappings that are "relatively nonexpansive" in the sense that they are defined on the union of two subsets A and B of a Banach space X and satisfy ∥ Tx-Ty∥ ≤ ∥ x-y∥ for all x ∈ A, y ∈ B. It is shown that if A and B are weakly compact and convex, and if the pair (A,B) has proximal normal structure, then a relatively nonexpansive mapping T: A ∪ B → A ∪ B satisfying (i) T(A) ⊆ B and T(B) ⊆ A, has a proximal point in...
Maiti, M., Saha, B. (1993)
International Journal of Mathematics and Mathematical Sciences
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