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In addition, this research be based on a strictly convex fuzzy number space and the Riemann integral of fuzzy-number-valued function which is taken value in the space. The error estimation of the proposed method in terms of uniform and partial modulus of continuity was given. The generalized difference of fuzzy numbers was controlled and estimated reasonably. And it was avoided to compute the generalized difference of fuzzy numbers during the iterations. Finally, two illustrative examples are included in order to demonstrate the accuracy and the convergence of the proposed method.<\/jats:p>","DOI":"10.3233\/jifs-190972","type":"journal-article","created":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T06:28:20Z","timestamp":1580884100000},"page":"3059-3074","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Numerical solutions for fuzzy Fredholm integral equations of the first kind using Landweber iterative method"],"prefix":"10.1177","volume":"38","author":[{"given":"Hong","family":"Yang","sequence":"first","affiliation":[{"name":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zengtai","family":"Gong","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,2,3]]},"reference":[{"key":"e_1_3_2_2_2","unstructured":"AnastassiouG.A. 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