A general alternative regularization method with line search technique for solving split equilibrium and fixed point problems in Hilbert spaces

2020 ◽  
Vol 39 (3) ◽  
Author(s):  
Lateef Olakunle Jolaoso ◽  
Ibrahim Karahan
Keyword(s):  
Fixed Point ◽  
Hilbert Spaces ◽  
Regularization Method ◽  
Line Search ◽  
Fixed Point Problems ◽  
Search Technique ◽  
Line Search Technique ◽  
General Alternative

scholarly journals Hybrid Inertial Accelerated Algorithms for Solving Split Equilibrium and Fixed Point Problems

Mathematics ◽  
2021 ◽  
Vol 9 (21) ◽  
pp. 2680
Author(s):  
Yanlai Song
Keyword(s):  
Fixed Point ◽  
Hilbert Spaces ◽  
Line Search ◽  
Equilibrium Problems ◽  
Recent Literature ◽  
Extragradient Method ◽  
Fixed Point Problems ◽  
Strong Convergence Theorem ◽  
Search Technique ◽  
Line Search Technique

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.

scholarly journals A Nonmonotone Weighting Self-Adaptive Trust Region Algorithm for Unconstrained Nonconvex Optimization

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Yunlong Lu ◽  
Weiwei Yang ◽  
Wenyu Li ◽  
Xiaowei Jiang ◽  
Yueting Yang
Keyword(s):  
Nonconvex Optimization ◽  
Line Search ◽  
Optimization Problems ◽  
Trust Region Method ◽  
Trust Region ◽  
Search Technique ◽  
Trust Region Algorithm ◽  
Unconstrained Optimization Problems ◽  
Line Search Technique ◽  
Self Adaptive

A new trust region method is presented, which combines nonmonotone line search technique, a self-adaptive update rule for the trust region radius, and the weighting technique for the ratio between the actual reduction and the predicted reduction. Under reasonable assumptions, the global convergence of the method is established for unconstrained nonconvex optimization. Numerical results show that the new method is efficient and robust for solving unconstrained optimization problems.

scholarly journals The Number Density Evolution of Extreme Emission Line Galaxies in 3D-HST: Results from a Novel Automated Line Search Technique for Slitless Spectroscopy

2018 ◽  
Vol 854 (1) ◽  
pp. 29 ◽  
Author(s):  
Michael V. Maseda ◽  
Arjen van der Wel ◽  
Hans-Walter Rix ◽  
Ivelina Momcheva ◽  
Gabriel B. Brammer ◽  
...  
Keyword(s):  
Emission Line ◽  
Line Search ◽  
Number Density ◽  
Search Technique ◽  
Density Evolution ◽  
Line Search Technique ◽  
Emission Line Galaxies ◽  
Automated Line
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