Abstract
In this paper, we study a generalized variational inclusion problem involving difference of monotone operators in Hilbert spaces. We established equivalence between the generalized variational inclusion problem and a fixed point problem. We establish an Ishikawa type iterative algorithm for solving a generalized variational inclusion problem involving difference of monotone operators, which is more general than Mann-type iterative algorithm. An existence result as well as a convergence result are proved separately. The problem of this paper is more general than many existing problems in the literature. Several special cases of generalized variational inclusion problem involving difference of monotone operators are also mentioned.
Recommended Citation
Ishtyak, Mohd and Ahmad, Rais
(2018).
An Ishikawa-type Iterative Algorithm for Solving A Generalized Variational Inclusion Problem Involving Difference of Monotone Operators,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
Iss.
1, Article 17.
Available at:
https://digitalcommons.pvamu.edu/aam/vol13/iss1/17