Reich, Simeon; Truong Minh Tuyen; Phan Thi Van Huyen Inertial proximal point algorithms for solving a class of split feasibility problems. (English) Zbl 07814938 J. Optim. Theory Appl. 200, No. 3, 951-977 (2024). MSC: 47H05 47H09 49J53 90C25 PDFBibTeX XMLCite \textit{S. Reich} et al., J. Optim. Theory Appl. 200, No. 3, 951--977 (2024; Zbl 07814938) Full Text: DOI
Balooee, Javad; Chang, Shih-Sen; Yao, Jen-Chih Generalized set-valued nonlinear variational-like inequalities and fixed point problems: existence and approximation solvability results. (English) Zbl 07708645 J. Optim. Theory Appl. 197, No. 3, 891-938 (2023). MSC: 47H05 47H09 47J20 47J22 47J25 PDFBibTeX XMLCite \textit{J. Balooee} et al., J. Optim. Theory Appl. 197, No. 3, 891--938 (2023; Zbl 07708645) Full Text: DOI
Cheval, Horaţiu; Kohlenbach, Ulrich; Leuştean, Laurenţiu On modified Halpern and Tikhonov-Mann iterations. (English) Zbl 1519.47077 J. Optim. Theory Appl. 197, No. 1, 233-251 (2023). MSC: 47J25 47H09 03F10 PDFBibTeX XMLCite \textit{H. Cheval} et al., J. Optim. Theory Appl. 197, No. 1, 233--251 (2023; Zbl 1519.47077) Full Text: DOI arXiv
Reich, Simeon; Tuyen, Truong Minh The generalized Fermat-Torricelli problem in Hilbert spaces. (English) Zbl 07644265 J. Optim. Theory Appl. 196, No. 1, 78-97 (2023). MSC: 47H05 47H09 49J53 90C25 PDFBibTeX XMLCite \textit{S. Reich} and \textit{T. M. Tuyen}, J. Optim. Theory Appl. 196, No. 1, 78--97 (2023; Zbl 07644265) Full Text: DOI
Ghadampour, Mostafa; Soori, Ebrahim; Agarwal, Ravi P.; O’Regan, Donal A strong convergence theorem for solving an equilibrium problem and a fixed point problem using the Bregman distance. (English) Zbl 07618994 J. Optim. Theory Appl. 195, No. 3, 854-877 (2022). MSC: 47H09 47H10 PDFBibTeX XMLCite \textit{M. Ghadampour} et al., J. Optim. Theory Appl. 195, No. 3, 854--877 (2022; Zbl 07618994) Full Text: DOI arXiv
Song, Yisheng; Li, Xudong Copositivity for a class of fourth-order symmetric tensors given by scalar dark matter. (English) Zbl 1502.90121 J. Optim. Theory Appl. 195, No. 1, 334-346 (2022). MSC: 90C23 15A63 81T32 70S20 15A72 47H09 15B48 47H07 PDFBibTeX XMLCite \textit{Y. Song} and \textit{X. Li}, J. Optim. Theory Appl. 195, No. 1, 334--346 (2022; Zbl 1502.90121) Full Text: DOI arXiv
Melo, Ítalo Dowell Lira; da Cruz Neto, João Xavier; de Brito, José Márcio Machado Strong convergence of alternating projections. (English) Zbl 07536869 J. Optim. Theory Appl. 194, No. 1, 306-324 (2022). MSC: 47Jxx 28D05 46N10 47H09 PDFBibTeX XMLCite \textit{Í. D. L. Melo} et al., J. Optim. Theory Appl. 194, No. 1, 306--324 (2022; Zbl 07536869) Full Text: DOI
Reich, Simeon; Tuyen, Truong Minh Projection algorithms for solving the split feasibility problem with multiple output sets. (English) Zbl 07403124 J. Optim. Theory Appl. 190, No. 3, 861-878 (2021). MSC: 47H05 47H09 49J53 90C25 PDFBibTeX XMLCite \textit{S. Reich} and \textit{T. M. Tuyen}, J. Optim. Theory Appl. 190, No. 3, 861--878 (2021; Zbl 07403124) Full Text: DOI
Ariza-Ruiz, David; López-Acedo, Genaro; Nicolae, Adriana A note on the paper: “The asymptotic behavior of the composition of firmly nonexpansive mappings”. (English) Zbl 07347119 J. Optim. Theory Appl. 187, No. 1, 303 (2020). MSC: 47H09 49M27 53C23 PDFBibTeX XMLCite \textit{D. Ariza-Ruiz} et al., J. Optim. Theory Appl. 187, No. 1, 303 (2020; Zbl 07347119) Full Text: DOI Link
Reich, Simeon; Truong Minh Tuyen Two projection algorithms for solving the split common fixed point problem. (English) Zbl 1521.47108 J. Optim. Theory Appl. 186, No. 1, 148-168 (2020). MSC: 47J25 47H05 47H09 49J53 90C25 PDFBibTeX XMLCite \textit{S. Reich} and \textit{Truong Minh Tuyen}, J. Optim. Theory Appl. 186, No. 1, 148--168 (2020; Zbl 1521.47108) Full Text: DOI
Ryu, Ernest K.; Vũ, Bằng Công Finding the forward-Douglas-Rachford-forward method. (English) Zbl 1513.47112 J. Optim. Theory Appl. 184, No. 3, 858-876 (2020). MSC: 47J22 47J25 47H05 47H09 90C25 PDFBibTeX XMLCite \textit{E. K. Ryu} and \textit{B. C. Vũ}, J. Optim. Theory Appl. 184, No. 3, 858--876 (2020; Zbl 1513.47112) Full Text: DOI arXiv
Tuyen, Truong Minh; Thuy, Nguyen Thi Thu; Trang, Nguyen Minh A strong convergence theorem for a parallel iterative method for solving the split common null point problem in Hilbert spaces. (English) Zbl 07112086 J. Optim. Theory Appl. 183, No. 1, 271-291 (2019). MSC: 47H05 47H09 49J53 90C25 PDFBibTeX XMLCite \textit{T. M. Tuyen} et al., J. Optim. Theory Appl. 183, No. 1, 271--291 (2019; Zbl 07112086) Full Text: DOI
Moursi, Walaa M.; Vandenberghe, Lieven Douglas-Rachford splitting for the sum of a Lipschitz continuous and a strongly monotone operator. (English) Zbl 07112082 J. Optim. Theory Appl. 183, No. 1, 179-198 (2019). MSC: 47H05 47H09 49M27 90C25 49M29 49N15 PDFBibTeX XMLCite \textit{W. M. Moursi} and \textit{L. Vandenberghe}, J. Optim. Theory Appl. 183, No. 1, 179--198 (2019; Zbl 07112082) Full Text: DOI arXiv
Djafari Rouhani, Behzad; Moradi, Sirous Strong convergence of regularized new proximal point algorithms. (English) Zbl 1481.47084 J. Optim. Theory Appl. 181, No. 3, 864-882 (2019). MSC: 47J25 47H05 47H09 90C29 90C90 PDFBibTeX XMLCite \textit{B. Djafari Rouhani} and \textit{S. Moradi}, J. Optim. Theory Appl. 181, No. 3, 864--882 (2019; Zbl 1481.47084) Full Text: DOI
Lin, Lai-Jiu Optimization for the sum of finite functions over the solution set of split equality optimization problems with applications. (English) Zbl 1480.47090 J. Optim. Theory Appl. 180, No. 2, 451-479 (2019). MSC: 47J25 47H06 47H09 65K15 90C35 90C25 PDFBibTeX XMLCite \textit{L.-J. Lin}, J. Optim. Theory Appl. 180, No. 2, 451--479 (2019; Zbl 1480.47090) Full Text: DOI
Moursi, Walaa M. The forward-backward algorithm and the normal problem. (English) Zbl 06872628 J. Optim. Theory Appl. 176, No. 3, 605-624 (2018). MSC: 47H09 49M27 65K05 65K10 47H05 47H14 49M29 49N15 PDFBibTeX XMLCite \textit{W. M. Moursi}, J. Optim. Theory Appl. 176, No. 3, 605--624 (2018; Zbl 06872628) Full Text: DOI arXiv
Song, Yisheng; Mei, Wei Structural properties of tensors and complementarity problems. (English) Zbl 06859628 J. Optim. Theory Appl. 176, No. 2, 289-305 (2018). MSC: 47H15 47H12 34B10 47A52 47J10 47H09 15A48 47H07 PDFBibTeX XMLCite \textit{Y. Song} and \textit{W. Mei}, J. Optim. Theory Appl. 176, No. 2, 289--305 (2018; Zbl 06859628) Full Text: DOI arXiv
Djafari Rouhani, Behzad; Moradi, Sirous Strong convergence of two proximal point algorithms with possible unbounded error sequences. (English) Zbl 1382.47020 J. Optim. Theory Appl. 172, No. 1, 222-235 (2017). MSC: 47J25 47H05 47H09 90C29 90C90 49J40 PDFBibTeX XMLCite \textit{B. Djafari Rouhani} and \textit{S. Moradi}, J. Optim. Theory Appl. 172, No. 1, 222--235 (2017; Zbl 1382.47020) Full Text: DOI
Németh, Sándor Zoltán; Zhang, Guohan Extended Lorentz cones and variational inequalities on cylinders. (English) Zbl 1336.90091 J. Optim. Theory Appl. 168, No. 3, 756-768 (2016). MSC: 90C33 47H07 47H09 49J40 PDFBibTeX XMLCite \textit{S. Z. Németh} and \textit{G. Zhang}, J. Optim. Theory Appl. 168, No. 3, 756--768 (2016; Zbl 1336.90091) Full Text: DOI arXiv
Ariza-Ruiz, David; López-Acedo, Genaro; Nicolae, Adriana The asymptotic behavior of the composition of firmly nonexpansive mappings. (English) Zbl 1329.47052 J. Optim. Theory Appl. 167, No. 2, 409-429 (2015); corrigendum ibid. 187, No. 1, 303 (2020). MSC: 47H09 49M27 53C23 PDFBibTeX XMLCite \textit{D. Ariza-Ruiz} et al., J. Optim. Theory Appl. 167, No. 2, 409--429 (2015; Zbl 1329.47052) Full Text: DOI arXiv Link
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia On the finite convergence of a projected cutter method. (English) Zbl 1353.90108 J. Optim. Theory Appl. 165, No. 3, 901-916 (2015). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C25 47H04 47H05 47H09 65K10 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Optim. Theory Appl. 165, No. 3, 901--916 (2015; Zbl 1353.90108) Full Text: DOI arXiv
Gabeleh, Moosa Best proximity point theorems via proximal non-self mappings. (English) Zbl 1312.47067 J. Optim. Theory Appl. 164, No. 2, 565-576 (2015). MSC: 47H10 47H09 54H25 54E40 PDFBibTeX XMLCite \textit{M. Gabeleh}, J. Optim. Theory Appl. 164, No. 2, 565--576 (2015; Zbl 1312.47067) Full Text: DOI
Kraikaew, Rapeepan; Saejung, Satit Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces. (English) Zbl 1305.49012 J. Optim. Theory Appl. 163, No. 2, 399-412 (2014). MSC: 49J40 47J25 47J20 47H09 90C52 PDFBibTeX XMLCite \textit{R. Kraikaew} and \textit{S. Saejung}, J. Optim. Theory Appl. 163, No. 2, 399--412 (2014; Zbl 1305.49012) Full Text: DOI
Zhou, Haiyun; Wang, Peiyuan A simpler explicit iterative algorithm for a class of variational inequalities in Hilbert spaces. (English) Zbl 1293.49026 J. Optim. Theory Appl. 161, No. 3, 716-727 (2014). MSC: 49J40 47J20 47J25 47H09 47H10 65K15 47N10 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{P. Wang}, J. Optim. Theory Appl. 161, No. 3, 716--727 (2014; Zbl 1293.49026) Full Text: DOI
Buong, Nguyen; Phuong, Nguyen Thi Hong Strong convergence to solutions for a class of variational inequalities in Banach spaces by implicit iteration methods. (English) Zbl 1280.49014 J. Optim. Theory Appl. 159, No. 2, 399-411 (2013). MSC: 49J40 47J25 47H09 PDFBibTeX XMLCite \textit{N. Buong} and \textit{N. T. H. Phuong}, J. Optim. Theory Appl. 159, No. 2, 399--411 (2013; Zbl 1280.49014) Full Text: DOI
Chalishajar, Dimplekumar N. Controllability of second order impulsive neutral functional differential inclusions with infinite delay. (English) Zbl 1260.49023 J. Optim. Theory Appl. 154, No. 2, 672-684 (2012). Reviewer: Vasile Iftode (Bucureşti) MSC: 49J53 47H09 47H10 34A60 49K21 PDFBibTeX XMLCite \textit{D. N. Chalishajar}, J. Optim. Theory Appl. 154, No. 2, 672--684 (2012; Zbl 1260.49023) Full Text: DOI
Qin, Xiaolong; Lin, Lai-Jiu; Kang, Shin Min On a generalized Ky Fan inequality and asymptotically strict pseudocontractions in the intermediate sense. (English) Zbl 1231.90380 J. Optim. Theory Appl. 150, No. 3, 553-579 (2011). Reviewer: Nicolas Hadjisavvas (Hermoupolis) MSC: 90C47 47H05 47H09 47H10 PDFBibTeX XMLCite \textit{X. Qin} et al., J. Optim. Theory Appl. 150, No. 3, 553--579 (2011; Zbl 1231.90380) Full Text: DOI
Ceng, L. C.; Petruşel, A. Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces. (English) Zbl 1210.47094 J. Optim. Theory Appl. 146, No. 3, 617-639 (2010). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47J25 47H10 47H09 PDFBibTeX XMLCite \textit{L. C. Ceng} and \textit{A. Petruşel}, J. Optim. Theory Appl. 146, No. 3, 617--639 (2010; Zbl 1210.47094) Full Text: DOI
Takahashi, S.; Takahashi, W.; Toyoda, M. Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces. (English) Zbl 1208.47071 J. Optim. Theory Appl. 147, No. 1, 27-41 (2010). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47J25 47H07 47H05 47H09 PDFBibTeX XMLCite \textit{S. Takahashi} et al., J. Optim. Theory Appl. 147, No. 1, 27--41 (2010; Zbl 1208.47071) Full Text: DOI
Cianciaruso, F.; Marino, G.; Muglia, L. Iterative methods for equilibrium and fixed point problems for nonexpansive semigroups in Hilbert spaces. (English) Zbl 1210.47080 J. Optim. Theory Appl. 146, No. 2, 491-509 (2010). Reviewer: Dmitry Silin (Berkeley) MSC: 47H20 47J25 47H09 90C33 47J20 PDFBibTeX XMLCite \textit{F. Cianciaruso} et al., J. Optim. Theory Appl. 146, No. 2, 491--509 (2010; Zbl 1210.47080) Full Text: DOI
Ceng, L. C.; Teboulle, M.; Yao, J. C. Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems. (English) Zbl 1222.47091 J. Optim. Theory Appl. 146, No. 1, 19-31 (2010). Reviewer: Regina Sandra Burachik (Adelaide) MSC: 47J25 47J20 47H05 47H10 47H09 49J40 49J45 49J53 PDFBibTeX XMLCite \textit{L. C. Ceng} et al., J. Optim. Theory Appl. 146, No. 1, 19--31 (2010; Zbl 1222.47091) Full Text: DOI
Iiduka, H. Hybrid conjugate gradient method for a convex optimization problem over the fixed-point set of a nonexpansive mapping. (English) Zbl 1176.90459 J. Optim. Theory Appl. 140, No. 3, 463-475 (2009). Reviewer: Igor V. Konnov (Kazan) MSC: 90C25 47H09 90C52 PDFBibTeX XMLCite \textit{H. Iiduka}, J. Optim. Theory Appl. 140, No. 3, 463--475 (2009; Zbl 1176.90459) Full Text: DOI
Ceng, L. C.; Schaible, S.; Yao, J. C. Implicit iteration scheme with perturbed mapping for equilibrium problems and fixed point problems of finitely many nonexpansive mappings. (English) Zbl 1163.47051 J. Optim. Theory Appl. 139, No. 2, 403-418 (2008). MSC: 47J25 47H10 47H09 49J40 91A25 PDFBibTeX XMLCite \textit{L. C. Ceng} et al., J. Optim. Theory Appl. 139, No. 2, 403--418 (2009; Zbl 1163.47051) Full Text: DOI
Tada, A.; Takahashi, W. Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem. (English) Zbl 1147.47052 J. Optim. Theory Appl. 133, No. 3, 359-370 (2007). Reviewer: Jinhai Chen (Hongkong) MSC: 47J25 47H10 49J40 47H09 91B50 PDFBibTeX XMLCite \textit{A. Tada} and \textit{W. Takahashi}, J. Optim. Theory Appl. 133, No. 3, 359--370 (2007; Zbl 1147.47052) Full Text: DOI
Zeng, L. C.; Wong, N. C.; Yao, J. C. Convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities. (English) Zbl 1137.47059 J. Optim. Theory Appl. 132, No. 1, 51-69 (2007). MSC: 47J25 47H09 47H10 47J20 49J40 65J15 90C47 PDFBibTeX XMLCite \textit{L. C. Zeng} et al., J. Optim. Theory Appl. 132, No. 1, 51--69 (2007; Zbl 1137.47059) Full Text: DOI
Lee, M. B.; Park, S. H. Convergence of sequential parafirmly nonexpansive mappings in reflexive Banach spaces. (English) Zbl 1141.90499 J. Optim. Theory Appl. 123, No. 3, 549-571 (2004). MSC: 90C25 90C48 47N10 47H09 47J25 PDFBibTeX XMLCite \textit{M. B. Lee} and \textit{S. H. Park}, J. Optim. Theory Appl. 123, No. 3, 549--571 (2004; Zbl 1141.90499) Full Text: DOI
Bolte, J. Continuous gradient projection method in Hilbert spaces. (English) Zbl 1055.90069 J. Optimization Theory Appl. 119, No. 2, 235-259 (2003). MSC: 90C30 47H09 47N10 49M30 90C48 90C53 PDFBibTeX XMLCite \textit{J. Bolte}, J. Optim. Theory Appl. 119, No. 2, 235--259 (2003; Zbl 1055.90069) Full Text: DOI
Kikkawa, M.; Takahashi, W. Approximating fixed points of infinite nonexpansive mappings by the hybrid method. (English) Zbl 1033.65037 J. Optimization Theory Appl. 117, No. 1, 93-101 (2003). Reviewer: Yu Wenhuan (Tianjin) MSC: 65J15 94A08 47H09 47H10 PDFBibTeX XMLCite \textit{M. Kikkawa} and \textit{W. Takahashi}, J. Optim. Theory Appl. 117, No. 1, 93--101 (2003; Zbl 1033.65037) Full Text: DOI
Noor, M. A. Some predictor-corrector algorithms for multivalued variational inequalities. (English) Zbl 0996.47055 J. Optimization Theory Appl. 108, No. 3, 659-669 (2001). Reviewer: Peter Zabreiko (Minsk) MSC: 47H09 47J20 47H04 47H05 PDFBibTeX XMLCite \textit{M. A. Noor}, J. Optim. Theory Appl. 108, No. 3, 659--669 (2001; Zbl 0996.47055) Full Text: DOI
Kannan, R. Convergence of iterative processes in nonlinear optimization. (English) Zbl 0497.49025 J. Optimization Theory Appl. 41, 139-153 (1983). MSC: 90C52 47H09 60B10 90C30 47H05 62L20 49M37 PDFBibTeX XMLCite \textit{R. Kannan}, J. Optim. Theory Appl. 41, 139--153 (1983; Zbl 0497.49025) Full Text: DOI