Results 21 to 30 of about 988 (114)
Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 621-629, 2003., 2003 We study a sequence of generalized projections in a reflexive, smooth, and strictly convex Banach space. Our result shows that Mosco convergence of their ranges implies their pointwise convergence to the generalized projection onto the limit set. Moreover, using this result, we obtain strong and weak convergence of resolvents for a sequence of maximal ...
Takanori Ibaraki +2 more
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An N-dimensional version of the Beurling-Ahlfors extension [PDF]
, 2009 We extend monotone quasiconformal mappings from dimension n to n+1 while preserving both monotonicity and quasiconformality. The extension is given explicitly by an integral operator.
Kovalev, Leonid V., Onninen, Jani
core +3 more sources
Fixed point iteration for local strictly pseudo-contractive mapping
, 1991 A fixed point of the local strictly pseudo-contractive mapping is obtained as the limit of an iteratively constructed sequence with an error estimation in uniformly smooth Banach spaces. This paper has been motivated by a paper by C. E.
Xinlong Weng
semanticscholar +1 more source
Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 10, Page 611-617, 2002., 2002 Suppose that X is an arbitrary real Banach space and T : X → X is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.
Zeqing Liu, Lili Zhang, Shin Min Kang
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Topological degree and application to a parabolic variational inequality problem
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 273-287, 2001., 2001 We are interested in constructing a topological degree for operators of the form F = L + A + S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L.
A. Addou, B. Mermri
wiley +1 more source
A G‐KKM type theorem and its applications to minimax inequalities on G‐convex spaces
International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 493-505, 1998., 1998 A G‐KKM type theorem is obtained on G‐convex spaces. As application, a generalization of Ky Fan′s minimax inequality to non‐compact sets on G‐convex spaces is first obtained. As special cases of this minimax inequality, some new minimax inequalites are obtained. Four fixed point theorems and four equivalent formulations of the second minimax inequality
Mohammad S. R. Chowdhury
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The Resolvent Average for Positive Semidefinite Matrices [PDF]
, 2009 We define a new average - termed the resolvent average - for positive semidefinite matrices. For positive definite matrices, the resolvent average enjoys self-duality and it interpolates between the harmonic and the arithmetic averages, which it ...
Bauschke, Heinz H. +2 more
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A note on ‘A best proximity point theorem for Geraghty-contractions’
, 2013 In Caballero et al. (Fixed Point Theory Appl. (2012). doi:10.1186/1687-1812-2012-231), the authors prove a best proximity point theorem for Geraghty nonself contraction.
Jingling Zhang +2 more
semanticscholar +1 more source
, 2020 In this paper, we are introducing a new algorithm that is based on a subgradient and an inertial scheme using an explicit method for step size evaluation to solve pseudomonotone equilibrium problems.
N. Wairojjana +3 more
semanticscholar +1 more source
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 197-205, 1997., 1997 Various eigenvalue and range results are given for perturbations of m‐accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.
Zhou Haiyun, Athanassios G. Kartsatos
wiley +1 more source