Le Thi Phuong Ngoc; Nguyen Thanh Long
January 2006
Fixed Point Theory & Applications;2006, p1
Academic Journal
The article focuses on a study on a fixed point theorem of Krasnosel'skii type and application to integral equations. The result is applied to determine the existence of asymptotically stable solutions of nonlinear integral equations. Some fixed point theorems of Krasnosel'skii type for operators of the form U + C on a bounded closed convex subset of a locally convex space, where C is fully continuous and Un satisfies contraction-type conditions are set. Illustrated examples for the results are also provided.

Tags: FIXED point theory;  INTEGRAL equations;  NONLINEAR integral equations;  LOCALLY convex spaces;  NONLINEAR theories


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