The phrase 'provide optimism' is correct and usable in written English.
You can use it when you want to convey the idea of bringing encouragement or hope in a given situation. For example: "The inspiring words of the president provided optimism in a time of crisis."
At least Castonzo can provide optimism.
These developments provide optimism for the development of alternative and/or complementary strategies to lower renal sympathetic nerve activity.
Large-scale technological solutions, such as the Ocean Cleanup project, provide optimism from the concerned, documentary-watching public that the plastic problem is being addressed.
Zaitoun said she wanted to give refugees "something of their own and provide optimism, an escape from reality and an explanation of their situation, as well as giving their parents some relief".
Samah Zaitoun wrote the children's tale Far From Home in an effort to provide optimism to the many hundreds of thousands of displaced children, and a fable that they could relate to.
Mary Fallin, the governor of Oklahoma, re-engaged the pattern of pessimism, but she said that Mr. Trump is the one to provide optimism — even if some Republicans might not agree with everything he says.
Grote Stoutenburg expressed doubt that such action would occur, providing optimism for the continued recognition of submerged island nations.
The success of many clinical trials in this novel class of drugs provides optimism that more cost-effective and improved therapies will soon be available.
Still, with a little patience, there are enough mosquitoes with bite to be found in the swarm, providing optimism that the rhinoceros may yet be toppled.
But birdies at No. 13 and No. 16 that pulled Woods from five over par to three over par provided optimism.
For Wales there were encouraging signs and the performance will have provided optimism that the co-hosts can advance from Group D if they can produce similar displays against the Cook Islands and USA.
