Abstract

An important branch of nonlinear analysis theory, applied in the study of nonlinear phenomena in engineering, physics, and life sciences, is related to the existence of fixed points of nonlinear mappings, the approximation of fixed points of nonlinear operators, of zeros of nonlinear operators, and the approximation of solutions of variational inequalities. This special issue is focused on the latest achievements in these topics and the related applications.The aim is to present the newest and extended coverage of the fundamental ideas, concepts, and important results of the topics below. Topics of interest include, but are not limited to the following.

Highlights

  • This special issue is focused on the latest achievements in these topics and the related applications

  • Zhang et al introduce a new iterative scheme for finding a common fixed point of two countable families of multivalued quasinonexpansive mappings and prove a weak convergence theorem under the suitable control conditions in a uniformly convex Banach space

  • Kang et al establish the strong convergence for the hybrid S-iterative scheme associated with nonexpansive and Lipschitz strongly pseudocontractive mappings in Banach spaces

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Summary

Introduction

This special issue is focused on the latest achievements in these topics and the related applications. Giuseppe Marino,[1] Filomena Cianciaruso,[1] Luigi Muglia,[1] Claudio H. (iii) Iterative approximations of solutions of variational inequalities problems or split feasibility problems and applications.

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