Mann and Ishikawa Type Perturbed Iterative Algorithms for Generalized Nonlinear Variational Inclusions
نویسندگان
چکیده
منابع مشابه
Ishikawa type iterative algorithm for completely generalized nonlinear quasi-variational-like inclusions in Banach spaces
In this paper, we consider completely generalized nonlinear quasi-variational-like inclusions in Banach spaces and propose an Ishikawa type iterative algorithm for computing their approximate solutions by applying the new notion of Jη-proximal mapping given in [R. Ahmad, A.H. Siddiqi, Z. Khan, Proximal point algorithm for generalized multi-valued nonlinear quasi-variational-like inclusions in B...
متن کاملStability of Mann and Ishikawa iterative processes with errors for a class of nonlinear variational inclusions problem∗
Under the lack of the condition , some new convergence and stability theorems of Mann and Ishikawa iterative processes with errors for solutions to variational inclusions involving accretive mappings in real reflexive Banach spaces are established. The main results of this paper extend and improve the corresponding results obtained by Chang, Ding, Hassouni and Moudafi, Huang, Kazmi, Noor, Siddi...
متن کاملResearch Article Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized m-Accretive Mappings
A new class of generalized nonlinear set-valued quasivariational inclusions involving generalizedm-accretive mappings in Banach spaces are studied, which included many variational inclusions studied by others in recent years. By using the properties of the resolvent operator associated with generalized m-accretive mappings, we established the equivalence between the generalized nonlinear set-va...
متن کاملExistence results for generalized nonlinear variational inclusions
In this paper, we consider a more general form of generalized nonlinear variational inclusions and prove the existence of solutions for these generalized nonlinear variational inclusions with and without convexity.
متن کاملPerturbed three-step approximation process with errors for a generalized implicit nonlinear quasivariational inclusions
Variational inequality theory has become a rich source of inspiration in the pure and applied mathematics. Variational inequalities not only have stimulated new results dealing with nonlinear partial differential equations, but also have been used in a large variety of problems arising in mechanics, physics, optimization and control nonlinear programming, economics and transportation equilibriu...
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: Mathematical and Computational Applications
سال: 2001
ISSN: 2297-8747
DOI: 10.3390/mca6010047