Convergence of Ishikawa iterates of generalized nonexpansive mappings.
Ghosh, M.K., Debnath, L. (1997)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Ghosh, M.K., Debnath, L. (1997)
International Journal of Mathematics and Mathematical Sciences
Similarity:
W. Kirk, W. Ray (1979)
Studia Mathematica
Similarity:
A. Anthony Eldred, W. A. Kirk, P. Veeramani (2005)
Studia Mathematica
Similarity:
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...
Vijayaraju, P. (1994)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Xiaolong Qin, Yongfu Su, Meijuan Shang (2007)
Open Mathematics
Similarity:
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...
Roux, D., Singh, S.P. (1989)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Eun Suk Kim, W. A. Kirk (2001)
Annales Polonici Mathematici
Similarity:
Let X be a Banach space, C a closed subset of X, and T:C → C a nonexpansive mapping. It has recently been shown that if X is reflexive and locally uniformly convex and if the fixed point set F(T) of T has nonempty interior then the Picard iterates of the mapping T always converge to a point of F(T). In this paper it is shown that if T is assumed to be asymptotically regular, this condition can be weakened much further. Finally, some observations are made about the geometric conditions...
Kaewcharoen, A., Kirk, W.A. (2006)
Fixed Point Theory and Applications [electronic only]
Similarity:
B.S. Yadav, D.S. Jaggi (1980)
Publications de l'Institut Mathématique
Similarity:
Ghosh, M.K., Debnath, Lokenath (1995)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Kaczor, Wiesława (2003)
Abstract and Applied Analysis
Similarity:
Du, Wei-Shih, Huang, Young-Ye, Yen, Chi-Lin (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
W. A. Kirk, Carlos Martinez-Yanez (1990)
Annales Polonici Mathematici
Similarity:
Jung, Jong Soo, Thakur, Balwant Singh, Sahu, Daya Ram (1998)
International Journal of Mathematics and Mathematical Sciences
Similarity: