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# On Wijsman asymptotically lacunary I-statistical equivalence of weight g of sequence of sets

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This paper presents the following definition which is a natural combination of the definitions of asymptotically equivalence, -convergence, statistical limit, lacunary sequence, and Wijsman convergence of weight ; where is a function satisfying and as for sequence of sets. Let be a metric space, be a lacunary sequence and be an admissible ideal. For any non-empty closed subsets such that and for each , we say that the sequences and are Wijsman -asymptotically lacunary statistical equivalent of multiple of weight if for every , and for each

(denoted by . We mainly investigate their relationship and also make some observations about these classes.