fixed point problems
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2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Huanhuan Cui

In this paper, we are concerned with the multiple-sets split common fixed-point problems whenever the involved mappings are demicontractive. We first study several properties of demicontractive mappings and particularly their connection with directed mappings. By making use of these properties, we propose some new iterative methods for solving multiple-sets split common fixed-point problems, as well as multiple-sets spit feasibility problems. Under mild conditions, we establish their weak convergence of the proposed methods.


Mathematics ◽  
2021 ◽  
Vol 9 (21) ◽  
pp. 2680
Author(s):  
Yanlai Song

In this paper, we introduce a new hybrid inertial accelerated algorithm with a line search technique for solving fixed point problems for demimetric mapping and split equilibrium problems in Hilbert spaces. The algorithm is inspired by Tseng’s extragradient method and the viscosity method. Then, we establish and prove the strong convergence theorem under proper conditions. Furthermore, we also give a numerical example to support the main results. The main results are new and the proofs are relatively simple and different from those in early and recent literature.


Author(s):  
Emeka Chigaemezu Godwin ◽  
Hammed Anuoluwapo Abass ◽  
Chinedu Izuchukwu ◽  
Oluwatosin Temitope Mewomo

Author(s):  
Kazeem Olalekan Aremu ◽  
Chinedu Izuchukwu ◽  
Olawale Kazeem Oyewole ◽  
Oluwatosin Temitope Mewomo

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