Variational inequalities for fuzzy mappings (III)

✍ Scribed by Muhammad Aslam Noor

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 94 KB
• Volume: 110
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(98)00131-6

✦ Synopsis

In this paper, we establish the equivalence between the variational inequalities for fuzzy mappings and the resolvent equations for fuzzy mappings. We use this equivalence to suggest a number of new iterative algorithms for solving the variational inequalities for fuzzy mappings. We also study the convergence criteria of these iterative algorithms. The auxiliary principle technique is used to study the existence of a solution of the variational inequality for fuzzy mappings and to suggest a novel and innovative iterative algorithm for computing the approximate solution. The results proved in this paper represent an improvement of previously known results.