الفهرس | Only 14 pages are availabe for public view |
Abstract Fixed point theorem is an important area in the fast growing elds of nonlinear analysis and nonlinear operators. It is relatively young and vigorously developing area for research. Fixed point theorems have always been a major theoretical tool in elds as widely apart as dierential and integral equations, economics, game, optimal control and numerical analysis The theory of xed point is concerned with the conditions which guarantee that the operator T : X ! X of a topological space X onto itself admits one or more xed point, that is, point x 2 X for which x = T(x). This theory began in 1912 with the work of Brouwer, who proved that any continuous self-mapping of a closed unit ball of n-dimensional Euclidean space has at least one xed point. The other fundamental result of Brouwer;s xed point theorem was given by Banach in 1922 which is popularly known as a Banach Contraction Principle or contraction mapping theorem of Banah Now, we introduce the following xed point theorems[22]. |