Variable KM-like algorithms for fixed point problems and split feasibility problems
نویسندگان
چکیده
منابع مشابه
Split Algorithms for New Implicit Feasibility Null-Point Problems
Inspired by the very recent work by Noor and Noor [9] and given a closed convex set-valued mapping C, we propose a split algorithm for solving the problem of finding an element x∗ which is a zero of a given maximal monotone operator T such that its image, Ax∗, under a linear operator, A, is in a closed convex set C(x∗). Then, we present two strong convergence results and state some examples as ...
متن کاملThe Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems
and Applied Analysis 3 open topic. For example, it is yet not clear whether the dual approach to (7) of [29] can be extended to the SFP. The original algorithm given in [15] involves the computation of the inverse A (assuming the existence of the inverse of A), and thus has not become popular. A seemingly more popular algorithm that solves the SFP is the CQ algorithm of Byrne [16, 21] which is ...
متن کاملA strong convergence theorem for solutions of zero point problems and fixed point problems
Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated. A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces.
متن کاملSome Modified Extragradient Methods for Solving Split Feasibility and Fixed Point Problems
and Applied Analysis 3 in medical image reconstruction. A number of image reconstruction problems can be formulated as the SFP; see, for example, 11 and the references therein. Recently, it is found that the SFP can also be applied to study intensity-modulated radiation therapy IMRT 12–14 . In the recent past, a wide variety of iterative methods have been used in signal processing and image rec...
متن کاملThe Hybrid Extragradient Method for the Split Feasibility and Fixed Point Problems
In this paper, we suggest a hybrid extragradient method for finding a common element of the set of fixed point sets of an infinite family of nonexpansive mappings and the solution set of the split feasibility problem (SFP) in real Hilbert spaces.
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: Fixed Point Theory and Applications
سال: 2014
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2014-211