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Research Article Open access CC BY 4.0

A New Iterative Algorithm for Zeros of Generalized Phi-strongly Monotone and Bounded Maps with Application

C. E. Chidume, O. M. Romanus, U. V. Nnyaba

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 31 Jul 2016

10.9734/BJMCS/2016/25884

Abstract

Let E be a uniformly smooth and uniformly convex real Banach space and A : E → E* be a generalized Φ-strongly monotone and bounded map with A-1(0) ≠ θ. A new iterative process is constructed and proved to converge strongly to the unique solution of the equation Au = 0. An application to convex minimization problem is given. Furthermore, the technique of proof is of independent interest.

Monotone mapping generalized Φ -strongly monotone mappings strong convergence

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