نتايجي پيرامون مسئله‌ي مكمل مجموعه-‌مقدار

Some Results about Set-Valued Complementarity Problem

در اين مقاله، ضمن مقايسه‌ي مسئله‌ي مكمل مجموعه-‌مقدار با مسئله‌ي مكمل تك‌مقدار، ساختار مجموعه‌ي جواب مسئله‌ي مكمل مجموعه-‌مقدار و شرايط لازم و كافي براي كرانداري و تحدب آن بررسي مي‌شود. با معرفي رده‌ي جديدي از ماتريس‌ها شرط لازم و كافي براي شدني بودن مسئله‌ي مكمل خطي مجموعه-‌مقدار به‌دست مي‌آيد. همچنين چند كاربرد از مسئله ارائه مي‌گردد.

This paper is devoted to consider the notions of complementary problem (CP) and set-valued complementary problem (SVCP). The set-valued complementary problem is compared with the classical single-valued complementary problem. Also, the solution set of the set-valued complementary problem is characterized. Our results illustrated by some examples. This paper is devoted to consider the notions of complementary problem (CP) and set-valued complementary problem (SVCP). The set-valued complementary problem is compared with the classical single-valued complementary problem. Also, the solution set of the set-valued complementary problem is characterized. Our results illustrated by some examples. Our results illustrated by some examples. This paper is devoted to consider the notions of complementary problem (CP) and set-valued complementary problem (SVCP). The set-valued complementary problem is compared with the classical single-valued complementary problem. Also, the solution set of the set-valued complementary problem is characterized. Our results illustrated by some examples. Our results illustrated by some examples.