Meet the editor

Guillermo Huerta Cuellar earned his BSc degree from Instituto de Investigación en Comunicaciones Ópticas (IICO), UASLP in 2004 and his Ph.D. from Centro de Investigaciones en Óptica (CIO) in 2009. He has been working at Centro Universitario de los Lagos, University of Guadalajara, México, since 2010. During this time, he also served as a visiting researcher at the Department of Applied Mathematics IPICYT, México (2012-

2014), the Faculty of Radiophysics, Lobachevsky State University of Nizhny Novgorod, Russia (2016), and had sabbaticals at St. Mary's University, San Antonio, Texas, USA (2018-2019), and IPICYT, México (2019-2020). He has edited three books, authored seven book chapters, and published more than 70 high-impact papers. Since 2019, he has co-organized the International Meeting for Dissemination and Research in the Study of Complex Systems and their Applications (EDIESCA), which is held annually in several Mexican universities. His research interests include the study, characterization, dynamical behavior, and design of nonlinear dynamical systems such as lasers, electronics, and numerical models.

## Contents


Preface

The fixed point theory is a crucial area of study in both theoretical and applied mathematics. Its applications can be seen in various fields such as physics, chemistry, and economics, among others. In the realm of mathematics, fixed point theory finds applications in differential equations, game theory, and integral theory equations. This theory has been extensively used to solve integral equations of first-order

The current book presents recent results on the study of fixed points with different perspectives. The introductory chapter covers the basics of chaos and fixed points. Chapter 2 focuses on coupled fixed points for (ϕ, ψ)-contractive mappings in partially ordered modular spaces, where the Banach contraction principle is one of the primary tools used to study the fixed points of contractive maps in the framework of modular space endowed with a partial order. Chapter 3 discusses common fixed points of asymptotically quasi-nonexpansive mappings in CAT(o) spaces. Chapter 4 is devoted to the study of iterative algorithms for common solutions of nonlinear problems in Banach spaces. Chapter 5 explains fixed points for the derivative of set-valued functions. Chapter 6 examines stability estimates for fractional Hardy-Schrödinger operators and derives Hardy-Sobolev-type improvements in fractional

> **Guillermo Huerta-Cuellar** Centro Universitario de los Lagos, University of Guadalajara,

> > Guadalajara, Mexico

Exact Sciences and Technology Department,

differential equations for linear, nonlinear, or chaotic systems.

Hardy inequalities.
