Malitskyi I. Effective projection methods for variational inequalities and composite optimization problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U002847

Thesis Registration Form

0415U002847.pdf

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

26-06-2015

Specialized Academic Board

Д26.001.35

Essay

The dissertation is dedicated to the development of new algorithms for solving variational inequalities. Several algorithms proposed in the dissertation for monotone variational inequalities are the first ones that use only one metric projection and one value of the operator. Besides that, there were constructed the hybrid algorithm which provides a strong convergence of the sequence, the cyclic algorithm which solves variational inequality on the fixed points of the quasi-nonexpansive mappings, proximal reflected method for the composite omptimization problem.

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Files

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aref.pdf

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