It looks like EVP_CIPHER_CTX is the “context” structure that's containing the encryption (akin to an object), but the actual cypher being used is EVP_des_ede3_cbc — which would be "des-ede3-cbc" with OpenSSL.encrypt(…) and friends
EDIT: To answer the question (“the corresponding package”), generally you should probably use javax.crypto or (probably “better” for most purposes) bouncycastle (http://www.bouncycastle.org/). But OpenSSL bindings do also exist — just awkward to use and deploy.
