Ranjbar, Sajad Nonemptiness and boundedness of the set of zeros of a monotone operator in Hadamard spaces. (English) Zbl 07884570 Fixed Point Theory 25, No. 1, 339-352 (2024). MSC: 47H05 47H10 47J05 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
López, R.; Sama, M. A study of multivalued variational inequalities via horizon maps and graphical convergence. (English) Zbl 1516.90106 Optimization 72, No. 4, 909-936 (2023). MSC: 90C33 90C31 47H05 54C60 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Homidan, Suliman; Ansari, Qamrul Hasan; Kassay, Gábor Bregman type regularization of variational inequalities with Mosco approximation of the constraint set. (English) Zbl 1484.49011 Positivity 26, No. 1, Paper No. 3, 14 p. (2022). MSC: 49J40 90C29 49J53 47J20 47H04 × Cite Format Result Cite Review PDF Full Text: DOI
Khatibzadeh, Hadi; Rezaei, Mahnaz; Ranjbar, Sajad Coercivity conditions, zeros of maximal monotone operators, and monotone equilibrium problems. (English) Zbl 1519.47052 J. Nonlinear Var. Anal. 5, No. 4, 519-530 (2021). MSC: 47H05 47H04 47J05 47J22 × Cite Format Result Cite Review PDF
Bianchi, M.; Kassay, G.; Pini, R. Regularization of Brézis pseudomonotone variational inequalities. (English) Zbl 1462.49033 Set-Valued Var. Anal. 29, No. 1, 175-190 (2021). MSC: 49J53 49J40 47H05 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Zili; Lu, Yun Minimum and maximum principle sufficiency for a nonsmooth variational inequality. (English) Zbl 1465.90111 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1233-1257 (2021). MSC: 90C33 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Ansari, Qamrul Hasan; Babu, Feeroz Existence and boundedness of solutions to inclusion problems for maximal monotone vector fields in Hadamard manifolds. (English) Zbl 1437.49015 Optim. Lett. 14, No. 3, 711-727 (2020). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 49J40 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Ceng, Lu-Chuan; Agarwal, Ravi P.; Yao, Jen-Chih; Yao, Yonghong RETRACTED ARTICLE: “On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spaces”. (English) Zbl 1498.47114 J. Inequal. Appl. 2018, Paper No. 298, 17 p. (2018); retraction notice ibid. 2019, Paper No. 95, 1 p. (2019). MSC: 47J20 49K40 90C31 90C33 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Balaj, Mircea Stampacchia variational inequality with weak convex mappings. (English) Zbl 1440.49009 Optimization 67, No. 10, 1571-1577 (2018). MSC: 49J40 49J53 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xue-ping Solvability of some perturbed generalized variational inequalities in reflexive Banach spaces. (English) Zbl 1508.47107 J. Funct. Spaces 2018, Article ID 3897495, 7 p. (2018). MSC: 47J20 47H14 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yongle; He, Yiran; Jiang, Yi Existence and boundedness of solutions to maximal monotone inclusion problem. (English) Zbl 1383.49013 Optim. Lett. 11, No. 8, 1565-1570 (2017). MSC: 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
He, Yiran Solvability of the Minty variational inequality. (English) Zbl 06800877 J. Optim. Theory Appl. 174, No. 3, 686-692 (2017). MSC: 47J20 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Min The existence results and Tikhonov regularization method for generalized mixed variational inequalities in Banach spaces. (English) Zbl 1370.58007 Anal. Math. Phys. 7, No. 2, 151-163 (2017). MSC: 58E35 47J20 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Amini-Harandi, A.; Fakhar, M.; Hajisharifi, H. R. Some generalizations of the Weierstrass theorem. (English) Zbl 1361.46058 SIAM J. Optim. 26, No. 4, 2847-2862 (2016). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 46N10 47N10 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, J.; Li, J. Weak sharpness for set-valued variational inequalities and applications to finite termination of iterative algorithms. (English) Zbl 1345.49010 Optimization 65, No. 8, 1585-1597 (2016). MSC: 49J40 49J53 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Jiang-hua; Jing, Yan; Zhong, Ren-you Nonemptiness and boundedness of solution sets for vector variational inequalities via topological method. (English) Zbl 1322.49011 J. Glob. Optim. 63, No. 1, 181-193 (2015). MSC: 49J40 47J20 47H05 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Guo-ji; Wang, Zhong-bao; Zhang, Hong-ling On a class of variational-hemivariational inequalities involving upper semicontinuous set-valued mappings. (English) Zbl 1474.49026 Abstr. Appl. Anal. 2014, Article ID 896941, 8 p. (2014). MSC: 49J40 49J53 × Cite Format Result Cite Review PDF Full Text: DOI
Arunchai, Areerat; Plubtieng, Somyot; Wen, Ching-Feng Existence theorems for relaxed \(\eta\)-\(\alpha\) pseudomonotone and strictly \(\eta\)-quasimonotone generalized variational-like inequalities. (English) Zbl 1346.47027 J. Inequal. Appl. 2014, Paper No. 442, 13 p. (2014). MSC: 47J20 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Ren-You; Liu, Xiang; Fan, Jiang-Hua The existence of zeros of set-valued mappings in reflexive Banach spaces. (English) Zbl 1306.49030 Optim. Lett. 8, No. 5, 1741-1751 (2014). MSC: 49J53 49J40 47H04 47J20 47H05 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, X. X.; Fang, Y. P.; Yang, X. Q. Characterizing the nonemptiness and compactness of the solution set of a vector variational inequality by scalarization. (English) Zbl 1315.90055 J. Optim. Theory Appl. 162, No. 2, 548-558 (2014). Reviewer: Dian K. Palagachev (Bari) MSC: 90C33 90C29 × Cite Format Result Cite Review PDF Full Text: DOI
Matsushita, Shin-Ya; Xu, Li On finite convergence of iterative methods for variational inequalities in Hilbert spaces. (English) Zbl 1293.49021 J. Optim. Theory Appl. 161, No. 3, 701-715 (2014). MSC: 49J40 47J20 47J25 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhong-Bao; Huang, Nan-Jing Exceptional family of elements for a generalized set-valued variational inequality in Banach spaces. (English) Zbl 1302.49016 Optimization 63, No. 2, 167-180 (2014). MSC: 49J40 47J20 90C33 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Matsushita, Shin-Ya; Xu, Li Finite convergence of the proximal point algorithm for variational inequality problems. (English) Zbl 1321.49016 Set-Valued Var. Anal. 21, No. 2, 297-309 (2013). MSC: 49J40 47J25 49J53 47J20 47H05 47H04 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
László, Szilárd Multivalued variational inequalities and coincidence point results. (English) Zbl 1304.49021 J. Math. Anal. Appl. 404, No. 1, 105-114 (2013). MSC: 49J40 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Ren-you; Lian, Huan-xia; Fan, Jiang-hua Exceptional families of elements for optimization problems in reflexive Banach spaces with applications. (English) Zbl 1282.90237 J. Optim. Theory Appl. 159, No. 2, 341-359 (2013). MSC: 90C48 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Rong; Fang, Ya-Ping A characterization of nonemptiness and boundedness of the solution sets for equilibrium problems. (English) Zbl 1272.49015 Positivity 17, No. 3, 431-441 (2013). MSC: 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Guo-ji; Zhou, Li-wen; Huang, Nan-jing The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds. (English) Zbl 1328.49006 Optim. Lett. 7, No. 4, 779-790 (2013). MSC: 49J40 47J25 × Cite Format Result Cite Review PDF Full Text: DOI
He, Yiran The Tikhonov regularization method for set-valued variational inequalities. (English) Zbl 1237.49013 Abstr. Appl. Anal. 2012, Article ID 172061, 10 p. (2012). MSC: 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Ren-you; Huang, Nan-jing Strict feasibility for generalized mixed variational inequality in reflexive Banach spaces. (English) Zbl 1238.49023 J. Optim. Theory Appl. 152, No. 3, 696-709 (2012). MSC: 49J40 49K40 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Hadjisavvas, N.; Schaible, S.; Wong, N.-C. Pseudomonotone operators: a survey of the theory and its applications. (English) Zbl 1236.90130 J. Optim. Theory Appl. 152, No. 1, 1-20 (2012). MSC: 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Rong; Fang, Ya-Ping Strict feasibility and stable solvability of bifunction variational inequalities. (English) Zbl 1227.49015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 1, 331-340 (2012). MSC: 49J40 49K40 58E35 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Fu-Quan; Zou, Yun-Zhi A projective splitting algorithm for solving generalized mixed variational inequalities. (English) Zbl 1267.90100 J. Inequal. Appl. 2011, Paper No. 27, 14 p. (2011). MSC: 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Rong; Fang, Ya Ping Strict feasibility and solvability for vector equilibrium problems in reflexive Banach spaces. (English) Zbl 1280.90122 Optim. Lett. 5, No. 3, 505-514 (2011). MSC: 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Ren-you; Huang, Nan-jing Lower semicontinuity for parametric weak vector variational inequalities in reflexive Banach spaces. (English) Zbl 1259.90147 J. Optim. Theory Appl. 149, No. 3, 564-579 (2011). MSC: 90C33 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yongle; He, Yiran On stably quasimonotone hemivariational inequalities. (English) Zbl 1245.49018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3324-3332 (2011). MSC: 49J40 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Ren-You; Huang, Nan-Jing; Cho, Yeol Je Boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems with an application. (English) Zbl 1230.49012 J. Inequal. Appl. 2011, Article ID 936428, 15 p. (2011). MSC: 49J53 49K40 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Qiao, Fanshu; He, Yiran Strict feasibility of pseudomonotone set-valued variational inequalities. (English) Zbl 1237.90236 Optimization 60, No. 1-3, 303-310 (2011). MSC: 90C33 47H11 54C60 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Rong; Fang, Ya-Ping On the nonemptiness and compactness of the solution sets for vector variational inequalities. (English) Zbl 1229.90231 Optimization 59, No. 7-8, 1107-1116 (2010). MSC: 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Ren-you; Huang, Nan-jing Stability analysis for Minty mixed variational inequality in reflexive Banach spaces. (English) Zbl 1218.49032 J. Optim. Theory Appl. 147, No. 3, 454-472 (2010). MSC: 49K40 90C31 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhi; He, Yiran Exceptional family of elements for generalized variational inequalities. (English) Zbl 1202.49014 J. Glob. Optim. 48, No. 3, 465-471 (2010). MSC: 49J40 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, J.; Mastroeni, G. Vector variational inequalities involving set-valued mappings via scalarization with applications to error bounds for gap functions. (English) Zbl 1205.90279 J. Optim. Theory Appl. 145, No. 2, 355-372 (2010). Reviewer: Regina Sandra Burachik (Adelaide) MSC: 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Li, J.; Huang, N. J.; Yang, X. Q. Weak sharp minima for set-valued vector variational inequalities with an application. (English) Zbl 1282.49007 Eur. J. Oper. Res. 205, No. 2, 262-272 (2010). MSC: 49J40 60K10 90C29 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Jianghua; Wang, Xiaoguo Gap functions and global error bounds for set-valued variational inequalities. (English) Zbl 1204.65079 J. Comput. Appl. Math. 233, No. 11, 2956-2965 (2010). Reviewer: Akrur Behera (Rourkela) MSC: 65K15 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, J. H.; Wang, X. G. Solvability of generalized variational inequality problems for unbounded sets in reflexive Banach spaces. (English) Zbl 1179.58009 J. Optim. Theory Appl. 143, No. 1, 59-74 (2009). MSC: 58E35 × Cite Format Result Cite Review PDF Full Text: DOI
Matsushita, Shin-ya; Takahashi, Wataru Existence of zero points for pseudomonotone operators in Banach spaces. (English) Zbl 1176.47048 J. Glob. Optim. 42, No. 4, 549-558 (2008). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 47J05 47H04 49J40 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Jianghua; Zhong, Renyou Stability analysis for variational inequality in reflexive Banach spaces. (English) Zbl 1172.49010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2566-2574 (2008). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 49J40 47H05 47J20 49K40 × Cite Format Result Cite Review PDF Full Text: DOI
Kien, B. T.; Yao, J.-C.; Yen, N. D. On the solution existence of pseudomonotone variational inequalities. (English) Zbl 1149.49011 J. Glob. Optim. 41, No. 1, 135-145 (2008). MSC: 49J40 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Nan-Jing; Li, Jun; O’Regan, Donal Generalized \(f\)-complementarity problems in Banach spaces. (English) Zbl 1191.90082 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 12, 3828-3840 (2008). MSC: 90C33 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Jianghua, Fan; Xiaoguo, Wang Global bounds for cocoercive variational inequalities. (English) Zbl 1145.49007 Abstr. Appl. Anal. 2007, Article ID 37217, 9 p. (2007). MSC: 49J40 47H10 47J20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
He, Yi Ran; Mao, Xiu Zhen; Zhou, Mi Strict feasibility of variational inequalities in reflexive Banach spaces. (English) Zbl 1126.47049 Acta Math. Sin., Engl. Ser. 23, No. 3, 563-570 (2007). Reviewer: Ya-Ping Fang (Chengdu) MSC: 47J20 49J40 47H04 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
He, Yiran Stable pseudomonotone variational inequality in reflexive Banach spaces. (English) Zbl 1124.49005 J. Math. Anal. Appl. 330, No. 1, 352-363 (2007). MSC: 49J40 49K40 × Cite Format Result Cite Review PDF Full Text: DOI
Allevi, E.; Gnudi, A.; Konnov, I. V. The proximal point method for nonmonotone variational inequalities. (English) Zbl 1134.90492 Math. Methods Oper. Res. 63, No. 3, 553-565 (2006). MSC: 90C30 49J40 90C33 91B52 × Cite Format Result Cite Review PDF Full Text: DOI
Flores-Bazán, Fabián; López, Rubén Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems. (English) Zbl 1275.90105 ESAIM, Control Optim. Calc. Var. 12, 271-293 (2006). MSC: 90C33 49J53 90C31 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
He, Y. R.; Ng, K. F. Strict feasibility of generalized complementarity problems. (English) Zbl 1170.90498 J. Aust. Math. Soc. 81, No. 1, 15-20 (2006). MSC: 90C33 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Bianchi, M.; Pini, R. Coercivity conditions for equilibrium problems. (English) Zbl 1064.49004 J. Optimization Theory Appl. 124, No. 1, 79-92 (2005). MSC: 49J40 91B50 × Cite Format Result Cite Review PDF Full Text: DOI
Bianchi, M.; Hadjisavvas, N.; Schaible, S. Minimal coercivity conditions and exceptional families of elements in quasimonotone variational inequalities. (English) Zbl 1130.49302 J. Optim. Theory Appl. 122, No. 1, 1-17 (2004). MSC: 49J40 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Konnov, I. V.; Yao, J. C. On the generalized vector variational inequality problem. (English) Zbl 0878.49006 J. Math. Anal. Appl. 206, No. 1, 42-58 (1997). Reviewer: X.Q.Yang (Nedlands) MSC: 49J40 90C33 × Cite Format Result Cite Review PDF Full Text: DOI