Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Tri Quach Name of the doctoral dissertation Computational Methods in Conformal and Harmonic Mappings Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series DOCTORAL DISSERTATIONS 226/2015 Field of research Mathematics Manuscript submitted 14 April 2015 Date of...

Periodic orbits of nonlinear mappings play a central role in the study of dynamical systems. Traditional root finding algorithms, such as the Newton–family algorithms, have been widely applied for the detection of periodic orbits. However, in the case of discontinuous/nondifferentiable mappings and mappings with poorly behaved partial derivatives, this approach is not valid. In such cases, stoc...

In this paper, an efficient new iterative method for approximating the fixed point of Suzuki mappings is proposed. Some important weak and strong convergence results proposed are established in setting Banach space. An example illustrates theoretical outcome.