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- Wei-You Zeng, Nan-jing Huang, Chang-wen Zhao, Wataru Takahashi
- 2008

Equilibrium problems theory provides us with a unified, natural, innovative, and general framework to study a wide class of problems arising in finance, economics, network analysis, transportation, elasticity, and optimization, which has been extended and generalized in many directions using novel and innovative techniques; see 1–8 . Inspired and motivated… (More)

- Ya-Ping Fang, Nan-jing Huang
- Applied Mathematics and Computation
- 2003

In this paper, we introduce a new class of monotone operators––H -monotone operators. The resolvent operator associated with an H -monotone operator is defined and its Lipschitz continuity is presented. We also introduce and study a new class of variational inclusions involving H -monotone operators and construct a new algorithm for solving this class of… (More)

- Ravi P. Agarwal, Yeol Je Cho, Nan-jing Huang
- Appl. Math. Lett.
- 2000

- Jun Li, Nan-jing Huang
- Appl. Math. Lett.
- 2006

In this paper, we introduce a new class of general mixed vector F -implicit complementarity problems and general mixed vector F -implicit variational inequality problems, and study the equivalence between of them under certain assumptions in Banach spaces. We also derive some new existence theorems of solutions for the general mixed vector F -implicit… (More)

- Ya-Ping Fang, Nan-jing Huang
- Appl. Math. Lett.
- 2004

- Fu-Quan Xia, Nan-jing Huang
- Computers & Mathematics with Applications
- 2007

- Ya-Ping Fang, Nan-jing Huang
- Appl. Math. Lett.
- 2006

In this work, we study some existence results for solutions for a class of strong vector variational inequalities (for short, SVVI) in Banach spaces. The solvability of the SVVI without monotonicity is presented by using the fixed point theorems of Brouwer and Browder, respectively. The solvability of the SVVI with monotonicity is also proved by using the… (More)

- Ya-Ping Fang, Nan-jing Huang
- Appl. Math. Lett.
- 2003

- Nan-jing Huang
- Fuzzy Sets and Systems
- 1999

- Ravi P. Agarwal, Nan-jing Huang, Man-Yi Tan
- Appl. Math. Lett.
- 2004

In this paper, we prove the convergence of some new three-step iterative algorithms for a new system of generalized nonlinear mixed quasivariational inclusions in q-uniformly smooth Banach spaces. Mathematics Subject Classification: 49J35, 49J40