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In the present paper we prove a Besicovich weighted ergodic theorem for positive contractions acting on Orlich-Kantorovich space. Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.123 Bulletin of the Malaysian Mathematical Sciences Society ISSN 0126-6705 Volume 38 Number 1 Bull. Malays. Math. Sci. Soc. (2015)