Description
Book SynopsisThis 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. Since the included chapters range from broad elucidations to functional research papers, the book provides readers with a satisfying analysis of the subject as well as a more comprehensive look at some functional recent advances.
Table of ContentsPreface; Topological Properties of Tvs-Metric Cone Spaces and Applications to Fixed Point Theory; Fixed Points of Some Mixed Iterated Function Systems; Random Iteration Scheme Leading to a Random Fixed Point Theorem and Its Application; Some Common Fixed Point Theorems For Self-Mappings Satisfying Rational Inequalities Contraction in Complex Valued Metric Spaces And Applications; Best Proximity Point Theorems Using Simulation Functions; On B Metric Spaces and Their Completion; On Banach Contraction Principle in Generalized B-Metric Spaces; Metric Fixed Point Theory in Context of Cyclic Contractions; An Investigation of the Fixed Point Analysis and Practices; Index.
