A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces

By Lateef Olakunle Jolaoso, Adeolu Taiwo, Timilehin Opeyemi Alakoya, Oluwatosin Temitope Mewomo. Demonstratio Mathematica, 2019

48 citations recorded by the source corpus.

Abstract We consider a new subgradient extragradient iterative algorithm with inertial extrapolation for approximating a common solution of variational inequality problems and fixed point problems of a multivalued demicontractive mapping in a real Hilbert space. We established a strong convergence theorem for our proposed algorithm under some suitable conditions and without prior knowledge of the Lipschitz constant of the underlying operator. We present numerical examples to show that our proposed algorithm performs better than some recent existing algorithms in the literature.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0653d65d178522dac5c1d31b37c85de2b030a1db

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Citations in the corpus

Fast and Simple Bregman Projection Methods for Solving Variational Inequalities and Related Problems in Banach Spaces (2020, background): “Due to the importance of VIs and FPs as modelling tools in various fields such as signal processing, network resource allocation, image recovery and more, see for example [19,24,32], many authors have studied the problem of finding common elements of both problems.”