منابع مشابه
Viscosity approximation methods for W-mappings in Hilbert space
We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results to solve the equilibrium problems.Finally, examples and numerical results are also given.
متن کاملLinking in Hilbert Space
We present the most general definition of the linking of sets in a Hilbert space and, drawing on the theory given in [ST, T, Sc3], give a necessary and sufficient geometric condition for linking when one set is compact.
متن کاملSampling in a Hilbert Space
An analog of the Whittaker-Shannon-Kotel′nikov sampling theorem is derived for functions with values in a separable Hilbert space. The proof uses the concept of frames and frame operators in a Hilbert space. One of the consequences of this theorem is that it allows us to derive sampling theorems associated with boundary-value problems and some homogeneous integral equations, which in turn gives...
متن کاملGlobal Optimization in Hilbert Space
This paper proposes a complete-search algorithm for solving a class of non-convex, possibly infinitedimensional, optimization problems to global optimality. We assume that the optimization variables are in a bounded subset of a Hilbert space, and we determine worst-case run-time bounds for the algorithm under certain regularity conditions of the cost functional and the constraint set. Because t...
متن کاملOperator Preconditioning in Hilbert Space
2010 1 Introduction The numerical solution of linear elliptic partial differential equations consists of two main steps: discretization and iteration, where generally some conjugate gradient method is used for solving the finite element discretization of the problem. However, when for elliptic problems the dis-cretization parameter tends to zero, the required number of iterations for a prescrib...
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: Advances in Mathematics
سال: 1975
ISSN: 0001-8708
DOI: 10.1016/0001-8708(75)90051-1