Parallel proximal method of solving split system of fixed point set constraint minimization problems

A simple computational algorithm with inertial extrapolation for generalized split common fixed point problems

“…The results mentioned as an application extend and improve the results in literature, for example [5] , [8] , [16] , [17] , [18] , [19] , [20] , [21] , [37] and the reference therein.…”

“…Many models of inverse problems can be cast in this framework by choosing different inverse problems for IP1 and IP2. There is a considerable investigation in the framework of SIP, see for example [4] , [16] , [17] , [18] and the many references therein. In this paper, we consider the type of GSIP called the generalized split common fixed point problem (in short, GSCFP) [14] , formulated as finding where is a linear operator for all ( ), and are nonlinear operators for all ( ), ( ), and are two real Hilbert spaces.…”

A modified parallel monotone hybrid algorithm for a finite family of $\mathcal{G}$-nonexpansive mappings apply to a novel signal recovery

“…Finding a common solution to a problem system is very useful in real-world problems. Many authors [9,12,27,38] have proposed many algorithms to solve it. One of that is a parallel monotone hybrid algorithm was proposed for solving common fixed point problems of a finite family of quasi ϕ-nonexpansive mappings {S i } N i=1 in Banach spaces by Anh and Hieu [4,5].…”

Strong convergence of an inertial extrapolation method for a split system of minimization problems

“…The SFP and MSSFP arise in many fields in the real world, and numerous methods have been proposed to solve the SFP, see for example [3][4][5] and references therein, and MSSFP, see for example [6][7][8] and references therein. Moreover, there are some studies of fixed point problems in the framework of the MSSFP, see for example [9][10][11][12][13][14].…”