TY - JOUR
T1 - H(.,.)-ORDERED-COMPRESSION MAPPING FOR SOLVING XOR-VARIATIONAL INCLUSION PROBLEM
AU - Ahmad, R
AU - Ahmad, I
AU - Ali, I
AU - Al-Homidan, Suliman Saleh
AU - Wang, YH
PY - 2018
Y1 - 2018
N2 - In this work, we define a new H(., .)-ordered-compression mapping and a resolvent operator based on it. We prove some properties of the resolvent operator, that is, it is a comparison as well as Lipschitz-type-continuous using XOR and XNOR operations. We construct an algorithm for solving XOR-variational inclusion problem. An example is constructed in support of some propositions. The results of this paper are more general and new than others in this direction.
AB - In this work, we define a new H(., .)-ordered-compression mapping and a resolvent operator based on it. We prove some properties of the resolvent operator, that is, it is a comparison as well as Lipschitz-type-continuous using XOR and XNOR operations. We construct an algorithm for solving XOR-variational inclusion problem. An example is constructed in support of some propositions. The results of this paper are more general and new than others in this direction.
M3 - Article
SN - 1345-4773
JO - Journal of Nonlinear and Convex Analysis
JF - Journal of Nonlinear and Convex Analysis
ER -