ON THE CONVERGENCE OF INEXACT PROXIMAL POINT ALGORITHM ON HADAMARD MANIFOLDS

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Convergence of Inexact Proximal Point Algorithm on Hadamard Manifolds

In this paper we consider the proximal point algorithm to approximate a singularity of a multivalued monotone vector field on a Hadamard manifold. We study the convergence of the sequence generated by an inexact form of the algorithm. Our results extend the results of [3, 25] to Hadamard manifolds as well as the main result of [11] with more general assumptions on the control sequence. We also ...

متن کامل

A proximal point algorithm for DC fuctions on Hadamard manifolds

An extension of a proximal point algorithm for difference of two convex functions is presented in the context of Riemannian manifolds of nonposite sectional curvature. If the sequence generated by our algorithm is bounded it is proved that every cluster point is a critical point of the function (not necessarily convex) under consideration, even if minimizations are performed inexactly at each i...

متن کامل

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 کامل

Relatively Inexact Proximal Point Algorithm and Linear Convergence Analysis

Based on a notion of relatively maximal m -relaxed monotonicity, the approximation solvability of a general class of inclusion problems is discussed, while generalizing Rockafellar’s theorem 1976 on linear convergence using the proximal point algorithm in a real Hilbert space setting. Convergence analysis, based on this newmodel, is simpler and compact than that of the celebrated technique of R...

متن کامل

Inexact scalarization proximal methods for multiobjective quasiconvex minimization on Hadamard manifolds

In this paper we extend naturally the scalarization proximal point method to solve multiobjective unconstrained minimization problems, proposed by Apolinario et al.[1], from Euclidean spaces to Hadamard manifolds for locally Lipschitz and quasiconvex vector objective functions. Moreover, we present a convergence analysis, under some mild assumptions on the multiobjective function, for two inexa...

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

ژورنال

عنوان ژورنال: Taiwanese Journal of Mathematics

سال: 2014

ISSN: 1027-5487

DOI: 10.11650/tjm.18.2014.3066