Muhammad Tariq2025-11-222025-11-221-8-2022https://escholar.umt.edu.pk/handle/123456789/11834In 2020, Nayab Alamgir [9] showed that every controlled metric type space (; q) induces a Hausdorff controlled metric type space on the class of closed subsets of which is also complete if (; q) is complete. He also defined multivalued almost F-contractions on Hausdorff controlled metric type spaces and proved some fixed point results. In this thesis, we will show that every double controlled metric type space makes a Hausdorff double controlled metric type space (H; CD()) where CD() is the collection of all non-empty closed subsets of and if (; q) is complete then (H; CD()) is also complete. We will also demonstrate multivalued almost F-contractions on Hausdorff double controlled metric type space and we will derive a few fixed point results.enThesis