Iterative solution of nonlinear equations of the monotone type in Banach spaces
نویسندگان
چکیده
منابع مشابه
Iterative Solution of Nonlinear Equations of the Pseudo-monotone Type in Banach Spaces
The weak convergence of the iterative generated by J(un+1 − un) = τ(Fun − Jun), n ≥ 0, ( 0 < τ = min { 1, 1 λ }) to a coincidence point of the mappings F, J : V → V ? is investigated, where V is a real reflexive Banach space and V ? its dual (assuming that V ? is strictly convex). The basic assumptions are that J is the duality mapping, J − F is demiclosed at 0, coercive, potential and bounded ...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولMonotone Iterative Technique for Fractional Evolution Equations in Banach Spaces
We investigate the initial value problem for a class of fractional evolution equations in a Banach space. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, the well-known monotone iterative technique is then extended for fractional evolution equations which provides computable monotone sequences that converge to the extremal solutions in a sector generate...
متن کاملPerturbed Iterative Approximation of Solutions for Nonlinear General A-Monotone Operator Equations in Banach Spaces
We introduce and study a new class of nonlinear general A-monotone operator equations with multivalued operator. By using Alber’s inequalities, Nalder’s results, and the new proximal mapping technique, we construct some new perturbed iterative algorithms with mixed errors for solving the nonlinear general A-monotone operator equations and study the approximationsolvability of the nonlinear oper...
متن کاملMonotone Iterative Method for Semilinear Impulsive Evolution Equations of Mixed Type in Banach Spaces
We use a monotone iterative method in the presence of lower and upper solutions to discuss the existence and uniqueness of mild solutions for the initial value problem u′(t) + Au(t) = f(t, u(t), Tu(t)), t ∈ J, t 6= tk, ∆u|t=tk = Ik(u(tk)), k = 1, 2, . . . , m, u(0) = x0, where A : D(A) ⊂ E → E is a closed linear operator and −A generates a strongly continuous semigroup T (t)(t ≥ 0) in E. Under ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1990
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700028112