The Over-Relaxed A-Proximal Point Algorithm for General Nonlinear Mixed Set-Valued Inclusion Framework
نویسندگان
چکیده
منابع مشابه
The Over-Relaxed A-Proximal Point Algorithm for General Nonlinear Mixed Set-Valued Inclusion Framework
The purpose of this paper is 1 a general nonlinear mixed set-valued inclusion framework for the over-relaxedA-proximal point algorithm based on the A, η -accretive mapping is introduced, and 2 it is applied to the approximation solvability of a general class of inclusions problems using the generalized resolvent operator technique due to Lan-Cho-Verma, and the convergence of iterative sequences...
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In this paper, we use the concept of graph convergence of H(.,.)-co-accretive mapping introduced by [R. Ahmad, M. Akram, M. Dilshad, Graph convergence for the H(.,.)-co-accretive mapping with an application, Bull. Malays. Math. Sci. Soc., doi: 10.1007/s40840-014-0103-z, 2014$] and define an over-relaxed proximal point method to obtain the solution of a generalized variational inclusion problem ...
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First a general framework for a hybrid super-relaxed proximal point algorithm based on the notion of H-maximal monotonicity is introduced, and then the convergence analysis for solving a general class of nonlinear inclusion problems is explored. The framework developed in this communication is quite suitable to generalize first-order evolution equations based on the generalized nonlinear Yosida...
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The purpose of this paper is to provide some remarks for the main results of the paper Verma (Appl. Math. Lett. 21:142-147, 2008). Further, by using the generalized proximal operator technique associated with the (A,η,m)-monotone operators, we discuss the approximation solvability of general variational inclusion problem forms in Hilbert spaces and the convergence analysis of iterative sequence...
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Based on the notion of A−maximal relaxed accretiveness, the convergence analysis of the over-relaxed proximal point algorithm in the context of the approximating the solutions of a class of nonlinear variational inclusions is explored. Moreover, some results on the general firm nonexpansiveness are also investigated. The obtained results are general and application-oriented in nature.
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2011
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2011/840978