Implicit Methods for Equilibrium Problems on Hadamard Manifolds
نویسندگان
چکیده
We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered.
منابع مشابه
On the convergence of solutions to a difference inclusion on Hadamard manifolds
The aim of this paper is to study the convergence of solutions of the following second order difference inclusion begin{equation*}begin{cases}exp^{-1}_{u_i}u_{i+1}+theta_i exp^{-1}_{u_i}u_{i-1} in c_iA(u_i),quad igeqslant 1\ u_0=xin M, quad underset{igeqslant 0}{sup} d(u_i,x)
متن کاملStrong convergence of a general implicit algorithm for variational inequality problems and equilibrium problems and a continuous representation of nonexpansive mappings
We introduce a general implicit algorithm for finding a common element of the set of solutions of systems of equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings. Then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the so...
متن کاملExistence Results for Particular Instances of the Vector Quasi-Equilibrium Problem on Hadamard Manifolds
We show the validity of select existence results for a vector optimization problem, and a variational inequality. More generally, we consider generalized vector quasi-variational inequalities, as well as, fixed point problems on genuine Hadamard manifolds.
متن کاملNash-stampacchia Equilibrium Points on Manifolds
Motivated by Nash equilibrium problems on ’curved’ strategy sets, the concept of Nash-Stampacchia equilibrium points is introduced for a finite family of non-smooth functions defined on geodesic convex sets of certain Riemannian manifolds. Characterization, existence, and stability of NashStampacchia equilibria are studied when the strategy sets are compact/noncompact subsets of certain Hadamar...
متن کاملAbstract generalized vector quasi-equilibrium problems in noncompact Hadamard manifolds
This paper deals with the abstract generalized vector quasi-equilibrium problem in noncompact Hadamard manifolds. We prove the existence of solutions to the abstract generalized vector quasi-equilibrium problem under suitable conditions and provide applications to an abstract vector quasi-equilibrium problem, a generalized scalar equilibrium problem, a scalar equilibrium problem, and a perturbe...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012