On Solvability of a Generalized Nonlinear Variational-Like Inequality | Zendy

Zeqing Liu | Zendy; Pingping Zheng | Zendy; Jeong Sheok Ume | Zendy; Shin Min Kang | Zendy

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On Solvability of a Generalized Nonlinear Variational-Like Inequality

Author(s) -

Zeqing Liu,

Pingping Zheng,

Jeong Sheok Ume,

Shin Min Kang

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/467512

Subject(s) - mathematics , nonlinear system , inequality , variational inequality , pure mathematics , calculus (dental) , mathematical analysis , mathematical economics , physics , quantum mechanics , medicine , dentistry

A new generalized nonlinear variational-like inequality is introduced and studied. By applying the auxiliary principle technique and KKM theory, we construct a new iterative algorithm for solving the generalized nonlinear variational-like inequality. By means of the Banach fixed-point theorem, we establish the existence and uniqueness of solution for the generalized nonlinear variational-like inequality. The convergence of the sequence generated by the iterative algorithm is also discussed.

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