Fixed Point Theory and Dynamical Systems with Applications

Dear Colleagues,

Since the celebrated Brouwer’s fixed point theorem and Banach contraction principle were established, the rapid growth of fixed point theory and its applications during the past more than a hundred years have led to a number of scholarly essays that study the importance of its promotion and application in nonlinear analysis, applied mathematical analysis, economics, game theory, integral and differential equations and inclusions, dynamic systems theory, signal and image processing, and so forth. Many authors devoted their attention to investigating generalizations in various different directions of the well-known fixed point theorems. Recent important investigations and developments in fixed point theory have been focused on putting fundamental sciences into the real world.

Dynamical systems, developed initially from the work of Jay W. Forrester, focused on industrial dynamics. During the previous more than six decades, important contributions to the improvement of our understanding of the real world around us have been made in various domains, such as economics, financial markets, environment, human behavior, strategic decision-making, information and knowledge management, public policy, highway transportation networks, telecommunication networks, immunological systems, computational systems, and electrical and mechanical structures. About three decades ago, linear dynamics and chaos started to attract a lot of attention, and fruitful results appeared. Nowadays, dynamical systems have already been developed and applied by policy-makers, academicians, educators, and managers in many areas of natural sciences, social sciences, engineering, and mathematical sciences.

We cordially and earnestly invite researchers to contribute their original and high-quality research papers which will inspire advances in fixed point theory, dynamical systems, and their applications. Potential topics include, but are not limited to:

• Fixed point theory in various abstract spaces with applications
• Best proximity point theory in various abstract spaces with applications
• Algorithms for fixed points and best proximity points
• Nonlinear differential and integral equations via fixed point theory approaches
• Optimization problems via fixed point theory approaches
• Well-posedness and control in fixed point theory and dynamical systems
• Nonlinear and linear dynamical systems
• Advanced control systems
• Nonlinear waves and acoustics
• Image and signal processing
• Biological systems and bioinformatics

Prof. Dr. Wei-Shih Du
Prof. Dr. Chung-Chuan Chen
Prof. Dr. Marko Kostić
Prof. Dr. Bessem Samet
Guest Editors

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