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Generalized Homotopy Approach to Multiobjective Optimization

Citations

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Cited by:

  1. Alberto Lovison, 2013. "Global search perspectives for multiobjective optimization," Journal of Global Optimization, Springer, vol. 57(2), pages 385-398, October.
  2. Qingjie Hu & Liping Zhu & Yu Chen, 2024. "Alternative extension of the Hager–Zhang conjugate gradient method for vector optimization," Computational Optimization and Applications, Springer, vol. 88(1), pages 217-250, May.
  3. M. L. N. Gonçalves & F. S. Lima & L. F. Prudente, 2022. "Globally convergent Newton-type methods for multiobjective optimization," Computational Optimization and Applications, Springer, vol. 83(2), pages 403-434, November.
  4. Jian-Wen Peng & Hua Sun & Elisabeth Köbis, 2025. "Nonmonotone Proximal Gradient Method for Composite Multiobjective Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 205(3), pages 1-28, June.
  5. Benjamin Martin & Alexandre Goldsztejn & Laurent Granvilliers & Christophe Jermann, 2016. "On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach," Journal of Global Optimization, Springer, vol. 64(1), pages 3-16, January.
  6. Honggang Wang, 2013. "Zigzag Search for Continuous Multiobjective Optimization," INFORMS Journal on Computing, INFORMS, vol. 25(4), pages 654-665, November.
  7. Li, Mingwu & Dankowicz, Harry, 2020. "Optimization with equality and inequality constraints using parameter continuation," Applied Mathematics and Computation, Elsevier, vol. 375(C).
  8. Jamilu Yahaya & Poom Kumam & Mahmoud Muhammad Yahaya, 2025. "A New Hybrid Conjugate Gradient Method Based on a Convex Combination for Multiobjective Optimization," SN Operations Research Forum, Springer, vol. 6(2), pages 1-26, June.
  9. Ina Lammel & Karl-Heinz Küfer & Philipp Süss, 2024. "An approximation algorithm for multiobjective mixed-integer convex optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 100(1), pages 321-350, August.
  10. Gonçalves, M.L.N. & Lima, F.S. & Prudente, L.F., 2022. "A study of Liu-Storey conjugate gradient methods for vector optimization," Applied Mathematics and Computation, Elsevier, vol. 425(C).
  11. Miglierina, E. & Molho, E. & Recchioni, M.C., 2008. "Box-constrained multi-objective optimization: A gradient-like method without "a priori" scalarization," European Journal of Operational Research, Elsevier, vol. 188(3), pages 662-682, August.
  12. M. L. N. Gonçalves & L. F. Prudente, 2020. "On the extension of the Hager–Zhang conjugate gradient method for vector optimization," Computational Optimization and Applications, Springer, vol. 76(3), pages 889-916, July.
  13. Abbasbandy, S., 2007. "Application of He’s homotopy perturbation method to functional integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1243-1247.
  14. Markus Hartikainen & Alberto Lovison, 2015. "PAINT–SiCon: constructing consistent parametric representations of Pareto sets in nonconvex multiobjective optimization," Journal of Global Optimization, Springer, vol. 62(2), pages 243-261, June.
  15. Shukla, Pradyumn Kumar & Deb, Kalyanmoy, 2007. "On finding multiple Pareto-optimal solutions using classical and evolutionary generating methods," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1630-1652, September.
  16. Qing-Rui He & Sheng-Jie Li & Bo-Ya Zhang & Chun-Rong Chen, 2024. "A family of conjugate gradient methods with guaranteed positiveness and descent for vector optimization," Computational Optimization and Applications, Springer, vol. 89(3), pages 805-842, December.
  17. Golbabai, A. & Keramati, B., 2008. "Modified homotopy perturbation method for solving Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1528-1537.
  18. Yu Chen & Helong Chen & Zhibin Zhu, 2026. "A Three-Term Conjugate Gradient-Type Method with Sufficient Descent Property for Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 208(1), pages 1-42, January.
  19. Jian Chen & Liping Tang & Xinmin Yang, 2025. "A Subspace Minimization Barzilai-Borwein Method for Multiobjective Optimization Problems," Computational Optimization and Applications, Springer, vol. 92(1), pages 155-178, September.
  20. Jamilu Yahaya & Poom Kumam & Sani Salisu & Kanokwan Sitthithakerngkiet, 2024. "Spectral-like conjugate gradient methods with sufficient descent property for vector optimization," PLOS ONE, Public Library of Science, vol. 19(5), pages 1-22, May.
  21. Jian Chen & Wang Chen & Liping Tang & Xinmin Yang, 2026. "Preconditioned Barzilai-Borwein Methods for Multiobjective Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 208(1), pages 1-43, January.
  22. L. F. Prudente & D. R. Souza, 2022. "A Quasi-Newton Method with Wolfe Line Searches for Multiobjective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 194(3), pages 1107-1140, September.
  23. Jiawei Chen & Yushan Bai & Guolin Yu & Xiaoqing Ou & Xiaolong Qin, 2025. "A PRP Type Conjugate Gradient Method Without Truncation for Nonconvex Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 204(1), pages 1-30, January.
  24. P. B. Assunção & O. P. Ferreira & L. F. Prudente, 2021. "Conditional gradient method for multiobjective optimization," Computational Optimization and Applications, Springer, vol. 78(3), pages 741-768, April.
  25. Kalyan Shankar Bhattacharjee & Hemant Kumar Singh & Tapabrata Ray, 2017. "An approach to generate comprehensive piecewise linear interpolation of pareto outcomes to aid decision making," Journal of Global Optimization, Springer, vol. 68(1), pages 71-93, May.
  26. Qing-Rui He & Chun-Rong Chen & Sheng-Jie Li, 2023. "Spectral conjugate gradient methods for vector optimization problems," Computational Optimization and Applications, Springer, vol. 86(2), pages 457-489, November.
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