Fixed point integral equation sheet


that a general class of integral equations has a solution. 1. Introduction Motivated by a problem in implicit function theory, we formulate an existence problem in integral equations. Two xed point theorems are proved enabling us to solve the integral equation. The work can be introduced in three subsections. (a) The problem: An integral equation. We analyse different kinds of stabilities for classes of nonlinear integral equations of Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers‐Ulam‐Rassias, σ‐semi‐Hyers‐Ulam and Hyers‐Ulam stabilities for those integral equations. Finite and infinite intervals are considered as integration domains. ORIGINAL ARTICLE Coupled fixed point results for nonlinear integral equations Wutiphol Sintunavarat, Poom Kumam * Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Jul 02, 2019 · Financial Statements from a company give investors (or potential investors) the keys to understanding important information about the company. By analyzing financial statements, investors can obtain a look at the company's profitability, strengths... Jul 23, 2018 · This is the class webpage for the course MAST30026: Metric and Hilbert spaces.There will be three assignments due at regular intervals during semester amounting to a total of 20%, and a 3-hour written examination in the examination period worth 80%. Fixed Point Method Rate of Convergence De nition Suppose that fx ngis a sequence of numbers generated by an algorithm, and the limit of the sequence is s. If lim n!1 jx n+1 sj jx n sjp