A perturbed algorithm for strongly nonlinear variational-like inclusions

By C.-H. Lee, Qamrul Hasan Ansari, Jen-Chih Yao. Bulletin of the Australian Mathematical Society, 2000

60 citations recorded by the source corpus.

In this paper, we define the concept of η- subdifferential in a more general setting than the one used by Yang and Craven in 1991. By using η-subdifferentiability, we suggest a perturbed algorithm for finding the approximate solutions of strongly nonlinear variational-like inclusions and prove that these approximate solutions converge to the exact solution. Several special cases are also discussed.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7950ae6743126c1520fd5f36ad334485a7603fbe

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In Computational Theory and Mathematics

1. Yaping Fang
2. Nan-Jing Huang
3. Muhammad Aslam Noor

In Numerical Analysis

1. Yaping Fang
2. Nan-Jing Huang

Citations in the corpus

• A new class of general variational inclusions involving maximal $\eta$-monotone mappings (2003, methodology): “Because of the wide applications to optimization and control, economic and tansportation equilibrium, and engineering sciences, variational inequalities and variational inclusions have been studied by many authors (see [1]–[13], [15]–[21] and the references therein).”