Multi-Valued Versions Of Nadler, Banach, Branciari And Reich Fixed Point Theorems In Double Controlled Metric Type Spaces With Applications

In the current work, the multi-valued version of well-known theorems of Nadler, Banach, Branciari and Reich are generalized to the scope of double controlled metric space. A double controlled metric space is a metric type space in which the right hand side of the triangle inequality is controlled by two functions. Furthermore, applications to existence of solution to Volterra integral inclusions and singular Fredholm integral inclusions of are obtained.