منابع مشابه
Graph-distance Convergence and Uniform Local Boundedness of Monotone Mappings
In this article we study graph-distance convergence of monotone operators. First, we prove a property that has been an open problem up to now: the limit of a sequence of graph-distance convergent maximal monotone operators in a Hilbert space is a maximal monotone operator. Next, we show that a sequence of maximal monotone operators converging in the same sense in a reflexive Banach space is uni...
متن کاملConvergence Theorems for Nonexpansive Mappings and Inverse-strongly Monotone Mappings
In this paper, we introduce a general iterative scheme for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of solutions of variational inequalities for an inverse-strongly monotone mapping.
متن کاملGraphical Convergence of Sums of Monotone Mappings
This paper gives sufficient conditions for graphical convergence of sums of maximal monotone mappings. The main result concerns finitedimensional spaces and it generalizes known convergence results for sums. The proof is based on a duality argument and a new boundedness result for sequences of monotone mappings which is of interest on its own. An application to the epi-convergence theory of con...
متن کاملExistence and convergence results for monotone nonexpansive type mappings in partially ordered hyperbolic metric spaces
We present some existence and convergence results for a general class of nonexpansive mappings in partially ordered hyperbolic metric spaces. We also give some examples to show the generality of the mappings considered herein.
متن کاملStrong Convergence of Monotone Cq Algorithm for Relatively Nonexpansive Mappings
X. Qin and Y. Su proved a strong convergence theorems of modified Ishikawa iteration by CQ method for relatively nonexpansive mappings in a Banach space [Xiaolong Qin, Yongfu Su, Nonlinear Anal. 67 (2007), no. 6, 1958–1965]. The result of this paper extends and improves the result of X. Qin and Y. Su in the two respects: (1). By using the monotone CQ method to modify the CQ method, so that the ...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1957
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.43.11.992