On the Existence of Solutions to a Boundary Value Problem via New Weakly Contractive Operator

In this paper, the notion of generalized quasi-weakly contractive operators in metric-like spaces is introduced, and new conditions for existence fixed points such mappings are investigated. A non-trivial example which highlights novelty our principal idea constructed. It observed comparatively that proposed concepts herein subsume some important results corresponding literature. As an application, one obtained findings utilized to setup novel criteria solutions two-point boundary value problems a second order differential equation. To attract researchers directions examined article, significant number corollaries pointed out discussed.