Sensitivity Analysis for a System of Variational Inclusions with (H,η)-Monotone Operators

نویسندگان

  • Jian-Wen Peng
  • Jie-Cheng Pan
  • Xian-Bing Pan
  • Chun-Rong Qin
چکیده

In this paper, by using a resolvent operator technique of (H,η)-monotone mappings, we study the behavior and sensitivity of the solutions for a system of variational inclusions with (H,η)-monotone operators in Hilbert spaces. Mathematics Subject Classification: 49J40, 47H19, 47H10

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A SYSTEM OF GENERALIZED VARIATIONAL INCLUSIONS INVOLVING G-eta-MONOTONE MAPPINGS

We introduce a new concept of general $G$-$eta$-monotone operator generalizing the general $(H,eta)$-monotone operator cite{arvar2, arvar1}, general $H-$ monotone operator cite{xiahuang} in Banach spaces, and also generalizing $G$-$eta$-monotone operator cite{zhang}, $(A, eta)$-monotone operator cite{verma2}, $A$-monotone operator cite{verma0}, $(H, eta)$-monotone operator cite{fanghuang}...

متن کامل

A System of Parametric Variational Inclusions with (H, η)-Monotone Operators

In this paper, by using a resolvent operator technique of (H,η)monotone mappings, we study the behavior and sensitivity of the solutions of the system of parametric variational inclusions with (H,η)monotone operators in Hilbert spaces. Our results extend and improve the main results obtained by Agarwal, Huang and Tan [R. P. Agarwal, N. J. Huang and M. Y. Tan, Sensitivity analysis for a new syst...

متن کامل

The Solvability of a New System of Nonlinear Variational-Like Inclusions

We introduce and study a new system of nonlinear variational-like inclusions involving sG, η maximal monotone operators, strongly monotone operators, η-strongly monotone operators, relaxed monotone operators, cocoercive operators, λ, ξ -relaxed cocoercive operators, ζ, φ, g-relaxed cocoercive operators and relaxed Lipschitz operators in Hilbert spaces. By using the resolvent operator technique ...

متن کامل

Implicit Variational-like Inclusions Involving General (h, Η)-monotone Operators

In this paper, using Lipschitz continuity of general (H, η)-monotone operators, a type of implicit variational-like inclusion problems in uniformly smooth Banach spaces are solved.

متن کامل

Implicit Variational Inclusions and Algorithms Involving (A, η)-monotone Operators in 2-uniformly Smooth Banach Spaces

This paper deals with a new class of nonlinear set valued implicit variational inclusion problems involving (A, η)-monotone mappings in 2-uniformly smooth Banach spaces. Semi-inner product structure has been used to study the (A, η)-monotonicity. Using the generalized resolvent operator technique and the semi-inner product structure, the approximation solvability of the proposed problem is inve...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011