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Variational inequalities for fuzzy mappings (II)

โœ Scribed by Muhammad Aslam Noor

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
482 KB
Volume
97
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

In this paper, we establish the equivalence between the variational inequalities for fuzzy mappings and the Wiener-Hopf 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. (~) 1998 Elsevier Science B.V. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Muhammad Aslam Noor ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

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 c

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This paper is devoted to study the vector variational inequalities for fuzzy mappings. By using the Fan-Browder fixed point theorem, the selection theorem of Yannelis-Prabhakar 1-13] and the scalarization method of Luc [9, 10], some existence theorems for our inequalities are proved.