Split Common Null Point and Common Fixed Point Problems Between Banach Spaces and Hilbert Spaces
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DOI: 10.1007/s00009-017-0922-x
Abstract: In this paper, we present a new algorithm for solving the split common null point and the common fixed point problems between Banach spaces and Hilbert spaces, to find a point which belongs to the… read more here.
Keywords: split common; null point; common fixed; point ... See more keywords
A shrinking projection method for solving the split common null point problem in Banach spaces
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DOI: 10.1007/s11075-018-0572-5
Abstract: In this paper, in order to solve the split common null point problem, we investigate a new explicit iteration method, base on the shrinking projection method and ε-enlargement of a maximal monotone operator. We also… read more here.
Keywords: split common; null point; point; common null ... See more keywords
An iterative algorithm with inertial technique for solving the split common null point problem in Banach spaces
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DOI: 10.1142/s1793557122501200
Abstract: In this work, we introduce a modified inertial algorithm for solving the split common null point problem without the prior knowledge of the operator norms in Banach spaces. The strong convergence theorem of our method… read more here.
Keywords: split common; null point; solving split; common null ... See more keywords
A New Iterative Construction for Approximating Solutions of a Split Common Fixed Point Problem
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DOI: 10.1155/2021/6659079
Abstract: In this paper, we aim to construct a new strong convergence algorithm for a split common fixed point problem involving the demicontractive operators. It is proved that the vector sequence generated via the Halpern-like algorithm… read more here.
Keywords: common fixed; point problem; split common; fixed point ... See more keywords
An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces
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DOI: 10.1155/2021/6661682
Abstract: In this paper, we consider the split common fixed point problem in Hilbert spaces. By using the inertial technique, we propose a new algorithm for solving the problem. Under some mild conditions, we establish two… read more here.
Keywords: split common; hilbert spaces; common fixed; inertial method ... See more keywords
New inertial algorithm for solving split common null point problem in Banach spaces
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DOI: 10.1186/s13660-019-1971-4
Abstract: Inspired by the works of Alvarez and Attouch (Set-Valued Anal. 9:3–11, 2001), López et al. (Inverse Probl. 28:ID085004, 2012), Takahashi (Arch. Math. (Basel) 104(4):357–365, 2015) and Suantai et al. (Appl. Gen. Topol. 18(2):345–360, 2017), as… read more here.
Keywords: problem; new inertial; algorithm solving; split common ... See more keywords
The split common fixed point problem of two infinite families of demicontractive mappings and the split common null point problem
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DOI: 10.2298/fil1712859a
Abstract: In this paper, we introduce a new algorithm based on viscosity iteration method for solving the split common fixed point problem for $k$-demicontractive mappings and the split common null point problem and the split equilibrium… read more here.
Keywords: split common; common fixed; point problem; problem ... See more keywords
Two iterative algorithms for solving the split common fixed point problems
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DOI: 10.2298/fil2013375w
Abstract: The purpose of this paper is to study the split common fixed point problems (SCFP) involved in nonexpansive mappings in real Hilbert space. We introduce two iterative algorithms for finding a solution of the SCFP… read more here.
Keywords: fixed point; two iterative; point problems; iterative algorithms ... See more keywords