Weak Ψ -Contractions on Partially Ordered Metric Spaces and Applications To Boundary Value Problems

Abstract

Recent developments in fixed point theory have been encouraged by the applicability of the results in the area of boundary value problems for differential and integral equations. Especially in the last few years, a lot of publications in fixed point theory have presented results directly related to specific initial or boundary value problems. These problems include not only ordinary and partial differential equations, but also fractional differential equations.