Zobrazeno 1 - 10
of 198
pro vyhledávání: '"H. Zegeye"'
Publikováno v:
International Journal of Analysis and Applications, Vol 9, Iss 2, Pp 129-141 (2015)
Let H be a real Hilbert space. Let F,K : H → H be Lipschitz monotone mappings with Lipschtiz constants L1and L2, respectively. Suppose that the Hammerstein type equation u + KFu = 0 has a solution in H. It is our purpose in this paper to construct
Externí odkaz:
https://doaj.org/article/f1009fb820aa4f44969701cbf2cc9aad
Autor:
H. Zegeye, C. E. Chidume
Publikováno v:
Fixed Point Theory and Applications, Vol 2005, Iss 1, Pp 67-77 (2005)
Let D be an open subset of a real uniformly smooth Banach space E. Suppose T:D¯→E is a demicontinuous pseudocontractive mapping satisfying an appropriate condition, where D¯ denotes the closure of D. Then, it is proved th
Externí odkaz:
https://doaj.org/article/d58aec69bc47449d8803a90da0e295bd
Publikováno v:
Fixed Point Theory and Applications, Vol 2005, Iss 1, Pp 11-33 (2005)
We study the regularization methods for solving equations with arbitrary accretive operators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Ou
Externí odkaz:
https://doaj.org/article/d9aae923777348e0a1df9328d41945bd
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 22, Pp 1159-1168 (2004)
We introduce a class of η-accretive mappings in a real Banach space and show that the η-proximal point mapping for η-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like in
Externí odkaz:
https://doaj.org/article/957fb1b7efac4d61bb02240eeb3a0f1b
Autor:
C. E. Chidume, H. Zegeye
Publikováno v:
Abstract and Applied Analysis, Vol 2003, Iss 6, Pp 353-365 (2003)
Suppose X is a real q-uniformly smooth Banach space and F,K:X→X with D(K)=F(X)=X are accretive maps. Under various continuity assumptions on F and K such that 0=u+KFu has a solution, iterative methods which converge strongly to such a solution are
Externí odkaz:
https://doaj.org/article/1bd4b6999fdc44d3870c8c4da5b56600
Autor:
H. Zegeye, N. Shahzad
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We prove a strong convergence theorem for a common fixed point of a finite family of right Bregman strongly nonexpansive mappings in the framework of real reflexive Banach spaces. Furthermore, we apply our method to approximate a common zero of a fin
Externí odkaz:
https://doaj.org/article/4d7d5079314e43df9ea8715f4710ac3b
Autor:
H. Zegeye, N. Shahzad
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that ha
Externí odkaz:
https://doaj.org/article/89d3591a19334cb4920c848740158084
Autor:
H. Zegeye, N. Shahzad
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We provide an iterative process which converges strongly to a common fixed point of finite family of asymptotically k-strict pseudocontractive mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for thi
Externí odkaz:
https://doaj.org/article/a6f19c9417904d2b821297eb1051af81
Autor:
H. Zegeye, N. Shahzad
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We introduce an iterative process which converges strongly to solutions of a certain variational inequity problem for -inverse strongly accretive mappings in the set of common fixed points of finite family of strictly pseudocontractive mappings in Ba
Externí odkaz:
https://doaj.org/article/5a6bce5b82994d2999698b452d0e9a08
Autor:
H. Zegeye, N. Shahzad
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous asymptotically ki-strict pseudocontractive mappings in the intermediate sense for i=1,2,…,N. The projection of x0 onto the
Externí odkaz:
https://doaj.org/article/af86924714ac41fd9902affc48bfa939