Iterative Methods for Fixed Point Problems in Hilbert Spaces

Keywords

Expansive, Hilbert space, Fixed point, Mathematics, Iterative method

References

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• Extensions of Hildreth’s Row-Action Method for Quadratic ProgrammingArnold Lent, Yair Censor — 2006
• Monotone gram matrices and deepest surrogate inequalities in accelerated relaxation methods for convex feasibility problemsKrzysztof C. Kiwiel — 1997
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• Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spacesJohn G. O’Hara, Paranjothi Pillay, Hong‐Kun Xu — 2003
• Generalized KM theorems and their applicationsQingzhi Yang, Jinling Zhao — 2006
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• Approximation of fixed points of nonexpansive mappingsRainer Wittmann — 1992
• The relaxed CQ algorithm solving the split feasibility problemQingzhi Yang — 2004

Cited by

• Can Linear Superiorization Be Useful for Linear Optimization Problems?潤一 大塚, 勉 矢作 — 2016
• Another look at the split common fixed point problem for demicontractive operatorsYekini Shehu, Prasit Cholamjiak — 2016
• An acceleration scheme for Dykstra’s algorithmWilliams Jesús López Yánez, Marcos Raydan — 2015
• Bounded perturbation resilience of projected scaled gradient methodsWenma Jin, Yair Censor, Ming Jiang — 2015
• Iterative methods for solving variational inequalities in Euclidean spaceAviv Gibali, Simeon Reich, Rafał Zalas — 2015
• A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert spaceSimeon Reich, Rafał Zalas — 2015
• Superior Volumetric Modulated Arc Therapy Planning Solution for Prostate PatientsRan Davidi — 2013
• An iterative method for split hierarchical monotone variational inclusionsQamrul Hasan Ansari, Aisha Rehan — 2015
• On Subgradient ProjectorsHeinz H. Bauschke, Caifang Wang, Xianfu Wang — 2014
• Split hierarchical variational inequality problems and fixed point problems for nonexpansive mappingsQamrul Hasan Ansari, Aisha Rehan, Ching‐Feng Wen — 2015
• On Slater’s condition and finite convergence of the Douglas–Rachford algorithm for solving convex feasibility problems in Euclidean spacesHeinz H. Bauschke, Minh N. Dao, Dominikus Noll — 2015
• Stadium Norm and Douglas-Rachford Splitting: A New Approach to Road Design OptimizationHeinz H. Bauschke, Valentin Koch, Hung M. Phan — 2014
• Methods for Variational Inequality Problem Over the Intersection of Fixed Point Sets of Quasi-Nonexpansive OperatorsAndrzej Cegielski, Rafał Zalas — 2013
• A Cyclic and Simultaneous Iterative Method for Solving the Multiple-Sets Split Feasibility ProblemMeng Wen, Jigen Peng, Yuchao Tang — 2015
• On the Existence of Minimizers of Proximity Functions for Split Feasibility ProblemsXianfu Wang, Xinmin Yang — 2015
• Asymptotic behavior of compositions of under-relaxed nonexpansive operatorsJean-Bernard Baillon, Patrick L. Combettes, Roberto Cominetti — 2013
• An Algorithm for Solving the Variational Inequality Problem Over the Fixed Point Set of a Quasi-Nonexpansive Operator in Euclidean SpaceAndrzej Cegielski, Aviv Gibali, Simeon Reich — 2013
• Compositions and convex combinations of averaged nonexpansive operatorsPatrick L. Combettes, Isao Yamada — 2014
• General Method for Solving the Split Common Fixed Point ProblemAndrzej Cegielski — 2014
• Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methodsYair Censor, Daniel Reem — 2014

Related papers

• Partially Expansive HomeomorphismsAlfonso Artigue — 2014
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• The split feasibility and fixed point equality problems for quasi-nonexpansive mappings in Hilbert spacesL. B. Mohammed, Adem Kılıçman — 2016