Is Malthusian theory of population growth being realized?
The annual growth rate of the global population has been in decline since about 1967 (five decades ago).

The absolute annual growth peaked in 1987 (three decades ago).

Malthusians claim that:


population growth is geometric or higher; and 
food production growth is arithmetic or lower.


If either of those do not hold, then Malthusian theory does not hold. And it turns out that neither of them hold:


Population is not growing geometrically (not even arithmetically); and
food production turned out to be capable of greater than arithmetic leaps in growth: food production per capita grew by 45% between 1961 and 2013 (source: UN Food &amp; Agriculture Organization FAOSTAT Food Production Indices for the world, element code 434, domain code QI, Area code 5000, Item code 2051, Agriculture (PIN);)


Some relevant factors: cheap, reliable, ubiquitous contraceptives; education and emancipation, particularly for women; cheap and plentiful crop fertilisers; mechanisation of farming; and selective crop breeding, by taking the old practice of eating the best of each crop and sowing the worst, and doing the exact opposite.

Here are two charts, using the global historic data from the US Census organisation for 1800-1950, and the UN data for 1950-2014.