31 خرداد 1403
حميد خدائي

حمید خدائی

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی محض-آنالیز ریاضی
تلفن:
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
On convex-valued G-m-monomials with applications in stability theory
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Convex-valued monomial; Single-valuedness; Selection; Diaz-Margolis fixed point alternative
سال
2021
مجله Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas
پژوهشگران حمید خدائی

چکیده

Using the Mazur–Orlicz theorem and some results about the Fréchet functional equation, we consider functional equations related to generalized monomials of degree n. From these considerations, we give some results on existence of single-valuedness and selections for convex-valued maps satisfying functional inclusions. Also, the Diaz–Margolis fixed point alternative is applied to solve the stability problem for set-valued generalized monomials of degree n. Finally, several particular cases are discussed and some applications are given.