Results 21 to 30 of about 3,220,405 (234)
Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
In this paper, we prove the Δ-convergence of a modified proximal point algorithm for common fixed points in a CAT(0) space for different classes of generalized nonexpansive mappings including a total asymptotically nonexpansive mapping, a multivalued ...
Shamshad Husain, Nisha Singh
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General fixed-point method for solving the linear complementarity problem
In this paper, we consider numerical methods for the linear complementarity problem (LCP). By introducing a positive diagonal parameter matrix, the LCP is transformed into an equivalent fixed-point equation and the equivalence is proved.
Xi-Ming Fang
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On the nonlinear implicit complementarity problem
In this paper, we consider a new class of implicit complementarity problem and study the existence of its solution. An iterative algorithm is also given to find the approximate solution of the new problem and prove that this approximate solution ...
A. H. Siddiqi, Q. H. Ansari
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The split common fixed point problem for infinite families of demicontractive mappings
In this paper, we propose a new algorithm for solving the split common fixed point problem for infinite families of demicontractive mappings. Strong convergence of the proposed method is established under suitable control conditions.
Adisak Hanjing, Suthep Suantai
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BSE’s, BSDE’s and fixed-point problems
In this paper, we introduce a class of backward stochastic equations (BSEs) that extend classical BSDEs and include many interesting examples of generalized BSDEs as well as semimartingale backward equations. We show that a BSE can be translated into a fixed point problem in a space of random vectors.
Cheridito, Patrick, Nam, Kihun
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Equilibrium problems and fixed point theory [PDF]
The fixed point theory is a well-established subject in the area of nonlinear analysis. The iterative method for solving the fixed point problem was considered from the origin of this problem. Namely, Cauchy, Liouville, Lipschitz, Peano, Fredholm, Picard, Banach, Browder, Helpern, Mann, Ishikawa, etc., have given different kinds of iterative methods ...
Suliman Al-Homidan +2 more
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A dual problem to least fixed points
AbstractAfter a simple and convenient generalization of the notion of continuous functions and continuous lattices we answer the following question: when for a given element x of a complete lattice there is a least continuous function having x as a least fixed point?
Jean-Louis Lassez, V. L. Nguyen
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Fixed point theory and nonlinear problems [PDF]
This survey paper by a person who helped to shape the field described in the title begins with historical remarks about the evolvement of (analytic) degree theory and its importance to nonlinear problems. Then the author outlines the degree theory for continuous maps in \({\mathbb{R}}^ n\).
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Tischler graphs of critically fixed rational maps and their applications [PDF]
A rational map $f:\widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ on the Riemann sphere $\widehat{\mathbb{C}}$ is called critically fixed if each critical point of $f$ is fixed under $f$.
Hlushchanka, Mikhail
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Generalized robust shrinkage estimator and its application to STAP detection problem [PDF]
Recently, in the context of covariance matrix estimation, in order to improve as well as to regularize the performance of the Tyler's estimator [1] also called the Fixed-Point Estimator (FPE) [2], a "shrinkage" fixed-point estimator has been introduced ...
Chitour, Yacine +2 more
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