An algorithm for computing zeros of generalized phi-strongly monotone and bounded maps in classical Banach spaces

C.E. Chidume, C.E. Chidume, C.O. Chidume, C.O. Chidume, Abdulmalik Usman Bello · Optimization · 2015

Let , , and be a generalized -strongly monotone and bounded map with . An iterative process is constructed and proved to converge strongly to the unique solution of the equation . In the special case in which is the subdifferential of a proper convex function , a solution of corresponds to a minimizer of . Furthermore, our technique of proof is of independent interest.

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