An In-Depth Guide to Fixed-Point Theorems


Rajinder Sharma, PhD (Editor) – Faculty, University of Technology and Applied Sciences-Sohar (Formerly College of Applied Sciences-Sohar), Wilayat of Shinas in the Governorate of Batinah, Oman
Vishal Gupta, PhD (Editor) – Professor, Maharishi Markandeshwar, Mullana, India

Series: Mathematics Research Developments

BISAC: MAT000000

Target Audience: Master, M.Phil., Ph.D. Students and Researchers working in the field of Fixed Point Theory and its Applications.

This book details fixed point theory, a gripping and wide-ranging field with applications in multifold areas of pure and applied mathematics. The content comprises both theoretical and practical applications. The evolution of the main theorems on the existence and uniqueness of fixed points of maps are presented. Applications covering topological properties, a nonlinear stochastic integral equation of the Hammerstein type, the existence and uniqueness of a common solution of the system of Urysohn integral equations, and the existence of a unique solution for linear equations system are included in this selection.




Chapter 1. Topological Properties of Tvs-Metric Cone Spaces and Applications to Fixed Point Theory
(Raúl Fierro – Instituto de Matemáticas, Universidad de Valparaíso, Valparaíso, Chile)

Chapter 2. Fixed Points of Some Mixed Iterated Function Systems
(Bhagwati Prasad and Ritu Sahni – Department of Mathematics, Jaypee Institute of Information Technology, Noida, India, Department of Physical Sciences, Institute of Advanced Research, Koba Institutional Area, Gandhinagar, Gujarat, India)

Chapter 3. Random Iteration Scheme Leading to a Random Fixed Point Theorem and Its Application
(Debashis Dey – Sudpur High School P.O: Sudpur, Dist: Purba Bardhaman, West Bengal, India)

Chapter 4. Some Common Fixed Point Theorems For Self-Mappings Satisfying Rational Inequalities Contraction in Complex Valued Metric Spaces And Applications
(Khaled Berrah, Oussaeif Taki Eddine and Abdelkrim Aliouche – Laboratory of Mathematics, Informatics and Systems (LAMIS) Larbi Tebessi University, Tebessa, Algeria, et al.)

Chapter 5. Best Proximity Point Theorems Using Simulation Functions
(Sanjay Mishra, Rashmi Sharma and Manoj Kumar – Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India, et al.)

Chapter 6. On B – Metric Spaces and Their Completion
(Stefan Czerwik – Institute of Mathematics, Silesian University of Technology, Gliwice, Poland)

Chapter 7. On Banach Contraction Principle in Generalized B-Metric Spaces
(Stefan Czerwik – Institute of Mathematics, Silesian University of Technology, Kaszubska 23, Gliwice, Poland)

Chapter 8. Metric Fixed Point Theory in Context of Cyclic Contractions
(Ashish Kumar – Department of Mathematics, Himalayan School of Science and Technology, Swami Rama Himalayan University, Dehradun, India)

Chapter 9. An Investigation of the Fixed Point Analysis and Practices
(Ö. Özer and A. Shatarah – Department of Mathematics, Faculty of Science and Arts, Kirklareli University, Kirklareli, Turkey, et al.)


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