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“can I use lithium batteries in a digital camera that specifies use of Ni-HM and Alkaline batteries without da

If your camera uses AA sized batteries, then yes, you can use AA sized Lithium batteries (e.g. Energizer e2 Lithium).
They’re quite expensive, but last a long time.
High powered NiMH (e.g 2700mAh) are more cost effective though…because they can be used and recharged over and over again.
Never use Alkaline batteries in your camera. They are completely useless because they don’t provide enough power for a digital camera.

($3.40) 3.7V 1200mAh Replacement Digital Camera Battery for OLYMPUS LI-40B-D6101

FUJIFILM NP-140 Lithium Ion Rechargeable Battery $49 The high-capacity Fuji NP-140 rechargeable Lithium-Ion battery works for Fuji FinePix S100FS / S200EXR Digital Cameras. It features Lithium technology, which ensures maximum battery life and maximum power. It also features No Memory Effect that lets you recharge partially drained batteries without reducing performance.

FUJIFILM NP-45A Rechargeable Lithium-Ion Battery (700mAh) $59.99 The Fuji NP-45A Rechargeable Lithium-Ion Battery is a 3.7V battery that fits a wide variety of Fuji J & Z FinePix digital cameras. It features lithium technology, which ensures maximum battery life and maximum power. It also features no memory effect that lets you recharge partially drained batteries without reducing performance.

Sakar NB-5L Extended Life Battery for Powershot SX230IS, S100 Cameras $39.95 Digital Concepts Extended Life Battery for NB-5L. With 850MAH (vs Canon’s 760MAH),this battery lasts 33% longer than the Canon NB-5L! So now you can shoot longer before recharging! This high-capacity rechargeable lithium ion battery has more power than the original manufacturers included battery. It features Lithium technology, which ensures maximum battery life and maximum power. It also features No Memory Effect that lets you recharge partially drained batteries without reducing performance.