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- Title
Strong convergence inertial projection and contraction method with self adaptive stepsize for pseudomonotone variational inequalities and fixed point problems.
- Authors
Jolaoso, Lateef Olakunle; Aphane, Maggie
- Abstract
In this paper, we introduce a new inertial self-adaptive projection method for finding a common element in the set of solution of pseudomonotone variational inequality problem and set of fixed point of a pseudocontractive mapping in real Hilbert spaces. The self-adaptive technique ensures the convergence of the algorithm without any prior estimate of the Lipschitz constant. With the aid of Moudafi's viscosity approximation method, we prove a strong convergence result for the sequence generated by our algorithm under some mild conditions. We also provide some numerical examples to illustrate the accuracy and efficiency of the algorithm by comparing with other recent methods in the literature.
- Subjects
VARIATIONAL inequalities (Mathematics); ALGORITHMS; HILBERT space; SELF; MATHEMATICAL equivalence; POINT set theory
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-02536-0