Hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense
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DOI: 10.1007/s10898-013-0087-5
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- Ceng, Lu-Chuan & Yao, Jen-Chih, 2007. "Approximate proximal methods in vector optimization," European Journal of Operational Research, Elsevier, vol. 183(1), pages 1-19, November.
- L. C. Ceng & A. Petruşel & J. C. Yao, 2009. "Iterative Approaches to Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings," Journal of Optimization Theory and Applications, Springer, vol. 143(1), pages 37-58, October.
- Hong-Kun Xu, 2011. "Averaged Mappings and the Gradient-Projection Algorithm," Journal of Optimization Theory and Applications, Springer, vol. 150(2), pages 360-378, August.
- Lu-Chuan Ceng & Nicolas Hadjisavvas & Ngai-Ching Wong, 2010. "Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems," Journal of Global Optimization, Springer, vol. 46(4), pages 635-646, April.
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More about this item
Keywords
Extragradient method; Mann-type CQ method; Hybrid gradient projection algorithm with regularization; Minimization problem; Asymptotically strict pseudocontractive mapping in the intermediate sense; 49J30; 47H09; 47J20;All these keywords.
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