[PDF] Top 20 Extra-gradient methods for solving split feasibility and fixed point problems
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Extra-gradient methods for solving split feasibility and fixed point problems
... Mann-type extra-gradient iterative algorithm for finding a solution of the split feasibility and fixed point problems involved in pseudo-contractive mappings without Lipschitz ... See full document
21
Mann’s type extragradient for solving split feasibility and fixed point problems of Lipschitz asymptotically quasi-nonexpansive mappings
... On the other hand, Korpelevich [] introduced an iterative method, the so-called ex- tragradient method, for finding the solution of a saddle point problem. He proved that the sequences generated by the proposed ... See full document
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Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces
... for solving the problem (FPSCSEP) in real Hilbert spaces under the assumptions that the first bifunction is pseudomonotone with respect to its solution set, the second bifunction is monotone, and fixed point ... See full document
28
On solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces
... of problems arising in numerous problems in physics, optimizations, and ...Some methods have been rapidly established for solving this problem (see ... See full document
16
Strong convergence theorems for a class of split feasibility problems and fixed point problem in Hilbert spaces
... ments in the solution set of problem (1.2) are called the zeros of this maximal monotone operator. This problem was introduced by Martinet [4], and later it has been studied by many authors. It is well known that the ... See full document
15
Viscosity Approximation Methods for Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces
... of split variational inclusion problem and fixed point problem of infinite family of nonexpansive operators in a setting of real Hilbert ...some fixed point technically proving ... See full document
6
On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces
... the split feasibility problem and split common null point problem in the setting of a Banach ...hybrid methods and Halpern-type methods and under suitable conditions, some strong ... See full document
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Shrinking projection methods for solving split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in Hilbert spaces
... for solving a split equilibrium problem and investigated the convergence behavior in several ways including both weak and strong ...new methods for solving it further need to be explored in ... See full document
14
A new extragradient algorithm for split equilibrium problems and fixed point problems
... new extra- gradient algorithm for finding a common solution of split equilibrium problem of pseu- domonotone and Lipschitz-type continuous bifunctions and split fixed point problem of ... See full document
18
Damped projection method for split common fixed point problems
... where C and Q are closed convex subsets in Hilbert spaces H and K, respectively. More- over, if C and Q are the intersections of finitely many closed convex subsets, then the problem is known as the multiple-set ... See full document
10
Split hierarchical variational inequality problems and fixed point problems for nonexpansive mappings
... the split feasibility problem (SFP) has been rapidly investigated and studied because of its applications in different areas such as signal processing, phase retrievals, image reconstruction, ... See full document
16
Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
... is not only a less complicated computation, the algorithm (.) also can be used for solving the problem (.) when C and Q are belong to different Euclidean spaces. Later on, inspired by the algorithm (.), Xu ... See full document
17
Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
... for solving the VIP. One of the methods is the extragradient method which was introduced and studied in 1976 by Korpelevich [19] in the finite dimensional Euclidean space R n ... See full document
17
Iterative methods for the split common fixed point problem in Hilbert spaces
... the split feasibility problem (SFP) ...with problems in signal processing and image recon- struction [], especially in intensity-modulated radiation therapy ... See full document
8
The Hybrid Extragradient Method for the Split Feasibility and Fixed Point Problems
... equilibrium problems, which arise in several branches of pure and applied sciences in a unified and general ...numerical methods have been developed for solving variational inequalities and related ... See full document
6
Variable KM-like algorithms for fixed point problems and split feasibility problems
... The iterative algorithm (.) is due to Moudafi [], by generalizing Browder’s and Halpern’s methods, who introduced viscosity approximation methods. Suzuki [] estab- lished a strong convergence theorem ... See full document
20
Split feasibility and fixed point problems for asymptotically quasi nonexpansive mappings
... A more popular algorithm that solves the SFP seems to be the CQ algorithm of Byrne [, ] which is found to be a gradient-projection method (GPM) in convex minimization. It is also a special case of the proximal ... See full document
16
The common solutions of the split feasibility problems and fixed point problems
... The SCFP is a natural extension of the SFP and of the convex feasibility problem. The SCFP was firstly considered by Censor and Segal in [] where S and T are directed op- erators which include the orthogonal ... See full document
17
Iterative approximation of solutions for proximal split feasibility problems
... It is our aim in this paper to answer the above question in the affirmative. Thus, moti- vated by the results of Lopez et al. [] and Moudafi and Thakur [], our aim in this paper is to introduce new iterative schemes for ... See full document
18
Simultaneous iterative algorithms for the split common fixed-point problem of generalized asymptotically quasi-nonexpansive mappings without prior knowledge of operator norms
... originally introduced in Censor and Segal (J. Convex Anal. 16:587-600, 2009). In this paper, we will continue to consider the split common fixed-point problem (1) governed by the general class of generalized ... See full document
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