MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
ITERATIVE METHOD FOR FINDING ZEROS OF MONOTONE MAPPINGS AND FIXED POINT OF CERTAIN NONLINEAR MAPPING
J.N. Ezeora, C. Izuchukwu, R.C. Ogbonna

Abstract

In this article, an inertial Mann-type iterative algorithm is constructed using the so-called viscosity method of A. Moudafi, Viscosity approximation methods for fixed-point problems, J. Math. Anal. Appl. {241(1)} (2000), 46--55. A strong convergence theorem of mean ergodic-type is proved using the sequence of the iterative algorithm for finding zeros of monotone mappings and the fixed point of a strict pseudo nonspreading mapping in a real Hilbert space. Finally, we apply our result to solve some minimization problem.

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Keywords: Monotone operators; strict-pseudo contractive mappings; strict-pseudo nonspreading mappings; resolvents; Hilbert space.

MSC: 47H04, 47H06, 47H15, 47H17, 47J25

Pages:  89--100     

Volume  74 ,  Issue  2 ,  2022