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http://dx.doi.org/10.4134/CKMS.c200148

SYSTEM OF GENERALIZED SET-VALUED PARAMETRIC ORDERED VARIATIONAL INCLUSION PROBLEMS WITH OPERATOR ⊕ IN ORDERED BANACH SPACES  

Akram, Mohammad (Department of Mathematics Faculty of Science Islamic University of Madinah)
Dilshad, Mohammad (Department of Mathematics Faculty of Science University of Tabuk)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.1, 2021 , pp. 103-119 More about this Journal
Abstract
In this article, we study a system of generalized set-valued parametric ordered variational inclusion problems with operator ⊕ in ordered Banach spaces. We introduce the concept of the resolvent operator associated with (α, λ)-ANODSM set-valued mapping and establish the existence theorem of solution for the system of generalized set-valued parametric ordered variational inclusion problems in ordered Banach spaces. In order to prove the existence of solution, we suggest an iterative algorithm and discuss the convergence analysis under some suitable mild conditions.
Keywords
Ordered Banach space; ANODSM-set-valued mapping; comparison mapping; ordered variational inclusions; convergence;
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