Finding Minimum Norm Fixed Point of Nonexpansive Mappings and Applications
نویسندگان
چکیده
منابع مشابه
Finding Minimum Norm Fixed Point of Nonexpansive Mappings and Applications
Iterative algorithms for finding fixed point of nonexpansive mappings are very interesting topic due to the fact that many nonlinear problems can be reformulated as fixed point equations of nonexpansive mappings. Related works can be found in 1–32 . On the other hand, we notice that it is quite often to seek a particular solution of a given nonlinear problem, in particular, the minimum-norm sol...
متن کاملIterative algorithms for finding minimum-norm fixed point of a finite family of nonexpansive mappings and applications
This paper deals with iterative methods for approximating the minimum-norm common fixed point of nonexpansive mappings. The proposed cyclic iterative algorithms and simultaneous iterative algorithms combined with a relaxation factor, which make them more flexible to solve the considered problem. Under certain conditions on the parameters, we prove that the sequences generated by the proposed it...
متن کاملMinimum-Norm Fixed Point of Pseudocontractive Mappings
and Applied Analysis 3 where K and Q are nonempty closed convex subsets of the infinite-dimension real Hilbert spaces H1 and H2, respectively, and A is bounded linear mapping from H1 to H2. Equation 1.9 models many applied problems arising from image reconstructions and learning theory see, e.g., 4 . Someworks on the finite dimensional setting with relevant projectionmethods for solving image r...
متن کاملSome unified algorithms for finding minimum norm fixed point of nonexpansive semigroups in Hilbert spaces
In this paper, we introduce two general algorithms (one implicit and one explicit) for finding a common fixed point of a nonexpansive semigroup {T (s)}s≥0 in Hilbert spaces. We prove that both approaches converge strongly to a common fixed point of {T (s)}s≥0. Such common fixed point x∗ is the unique solution of some variational inequality, which is the optimality condition for some minimizatio...
متن کاملCommon fixed point theorem for nonexpansive type single valued mappings
The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2011
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2011/106450