A perturbed algorithm for strongly nonlinear variational-like inclusions

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

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.

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