<em>g</em>-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions

ZHANG Qing-bang; DING Xie-ping

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ZHANG Qing-bang, DING Xie-ping. g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions[J]. Applied Mathematics and Mechanics, 2007, 28(1): 9-16.

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g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions

ZHANG Qing-bang^1,2,
DING Xie-ping²

1.
College of Applied Sciences, Beijing University of Technology, Beijing 100022, P. R. China;

Received Date: 2003-12-17
Rev Recd Date: 2006-10-11
Publish Date: 2007-01-15

Abstract

Abstract

A new class of g-Eta-monotone mappings and a class of generalized implicit variational-like inclusions involving g-Eta-monotone mappings are introduced. The resolvent operator of g-Eta-monotone mappings is defined and its Lipschitz continuity is presented. An iterative algorithm for approximating the solutions of generalized implicit variational-like inclusions is suggested and analyzed. The convergence of iterative sequence generated by the algorithm is also proved.
- g-η-monotone mapping,
- resolvent operator,
- generalized implicit variational-like inclusion,
- iterative algorithm

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References(14)

References

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