Fixed Point Theory in Metric Spaces (eBook)

PRAVEEN AGARWAL is Professor at the Department of Mathematics, Anand International College of Engineering, Jaipur, India. He has published over 200 articles related to special functions, fractional calculus and mathematical physics in several leading mathematics journals. His latest research has focused on partial differential equations, fixed point theory and fractional differential equations. He has been on the editorial boards of several journals, including the SCI, SCIE and SCOPUS, and he has been involved in a number of conferences. Recently, he received the Most Outstanding Researcher 2018 award for his contribution to mathematics by the Union Minister of Human Resource Development of India, Prakash Javadekar. He has received numerous international research grants.MOHAMED JLELI is Full Professor of Mathematics at King Saud University, Saudi Arabia. He obtained his PhD degree in Pure Mathematics entitled “Constant mean curvature hypersurfaces” from the Faculty of Sciences of Paris 12, France, in 2004. He has written several papers on differential geometry, partial differential equations, evolution equations, fractional differential equations and fixed point theory. He is on the editorial board of several international journals and acts as a referee for a number of international journals in mathematics.BESSEM SAMET is Full Professor of Applied Mathematics at King Saud University, Saudi Arabia. He obtained his PhD degree in Applied Mathematics entitled “Topological derivative method for Maxwell equations and its applications” from Paul Sabatier University, France, in 2004. His research interests include various branches of nonlinear analysis, such as fixed-point theory, partial differential equations, differential equations, fractional calculus, etc. He is the author/co-author of more than 100 published papers in respected journals. He named as one of Thomson Reuters Highly Cited Researchers for 2015–2017.

Banach Contraction Principle and Applications.- On Ran-Reurings Fixed Point Theorem.- On a-y Contractive Mappings and Related Fixed Point Theorems.- Cyclic Contractions: An Improvement Result.- On JS-Contraction Mappings in Branciari Metric Spaces.- An Implicit Contraction on a Set Equipped with Two Metrics.- On Fixed Points that Belong to the Zero Set of a Certain Function.- A Coupled Fixed Point Problem Under a Finite Number of Equality Constraints.- The Study of Fixed Points in JS-Metric Spaces.- Iterated Bernstein Polynomial Approximations.