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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 10: Variational Inequalities, Optimization and Related Topics
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Original Articles

Applications of variational analysis to a generalized Heron problem

Boris S. Mordukhovich Department of Mathematics, Wayne State University, Detroit, MI 48202, USA; King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
,
Nguyen Mau Nam Department of Mathematics, The University of Texas–Pan American, Edinburg, TX 78539–2999, USACorrespondence[email protected]
&
Juan Salinas Department of Mathematics, The University of Texas–Pan American, Edinburg, TX 78539–2999, USA
Pages 1915-1942 | Received 01 Jun 2011, Accepted 10 Jul 2011, Published online: 14 Sep 2011

Citations (15)

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Read on this site (2)

Hadi Khatibzadeh & Maryam Moosavi. (2023) Two proximal splitting methods in Hadamard spaces. Applicable Analysis 102:2, pages 635-650.
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Narin Petrot & Nimit Nimana. (2021) Incremental proximal gradient scheme with penalization for constrained composite convex optimization problems. Optimization 70:5-6, pages 1307-1336.
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Articles from other publishers (13)

Rubén Campoy. (2022) A product space reformulation with reduced dimension for splitting algorithms. Computational Optimization and Applications 83:1, pages 319-348.
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Avinash Dixit, D. R. Sahu, Pankaj Gautam & T. Som. (2021) Convergence analysis of two-step inertial Douglas-Rachford algorithm and application. Journal of Applied Mathematics and Computing 68:2, pages 953-977.
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Luong V. Nguyen & Xiaolong Qin. (2020) The minimal time function associated with a collection of sets. ESAIM: Control, Optimisation and Calculus of Variations 26, pages 93.
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Dongying Wang & Xianfu Wang. (2019) A parameterized Douglas–Rachford algorithm. Computational Optimization and Applications 73:3, pages 839-869.
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Jason Xu, Eric C. Chi, Meng Yang & Kenneth Lange. (2018) A majorization–minimization algorithm for split feasibility problems. Computational Optimization and Applications 71:3, pages 795-828.
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Boris S. MordukhovichBoris S. Mordukhovich. 2018. Variational Analysis and Applications. Variational Analysis and Applications 1 66 .
Thomas Jahn, Yaakov S. Kupitz, Horst Martini & Christian Richter. (2014) Minsum Location Extended to Gauges and to Convex Sets. Journal of Optimization Theory and Applications 166:3, pages 711-746.
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Radu Ioan Boţ, Ernö Robert Csetnek & Christopher Hendrich. (2015) Inertial Douglas–Rachford splitting for monotone inclusion problems. Applied Mathematics and Computation 256, pages 472-487.
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Miroslav Bačák. (2014) Computing Medians and Means in Hadamard Spaces. SIAM Journal on Optimization 24:3, pages 1542-1566.
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Nguyen Mau Nam, Nguyen Thai An, R. Blake Rector & Jie Sun. (2014) Nonsmooth Algorithms and Nesterov's Smoothing Technique for Generalized Fermat--Torricelli Problems. SIAM Journal on Optimization 24:4, pages 1815-1839.
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Radu Ioan Boţ, Ernö Robert Csetnek & Christopher Hendrich. 2014. Mathematics Without Boundaries. Mathematics Without Boundaries 57 99 .
Boris S. Mordukhovich & Nguyen Mau Nam. (2013) An Easy Path to Convex Analysis and Applications. Synthesis Lectures on Mathematics and Statistics 6:2, pages 1-218.
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Radu Ioan Boţ & Christopher Hendrich. (2013) A Douglas--Rachford Type Primal-Dual Method for Solving Inclusions with Mixtures of Composite and Parallel-Sum Type Monotone Operators. SIAM Journal on Optimization 23:4, pages 2541-2565.
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