COUPLED FIXED POINT THEOREMS AND APPLICATIONS TO PERIODIC BOUNDARY VALUE PROBLEMS

By Cristina Urs. 2013

54 citations recorded by the source corpus.

In this paper we present some existence, uniqueness and Hyers-Ulam stability results for the coupled fixed point of a pair of contractive type operators on complete metric spaces. The approach is based on a Perov type fixed point theorem for contractions. Some applications to integral equations and to boundary value problems are also given. 2000 Mathematics Subject Classification: 47H10; 54H25

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/438c6038e4a83e21e784e0741ab669662f0a8560

Citations in the corpus

• Existence theorems and Hyers-Ulam stability for a class of Hybrid fractional differential equations with $p$-Laplacian operator (2018, unknown): “For example, Urs [36] considered Hyers-Ulam stability for the following coupled system u′′(t)− θ1(t, υ(t)) = θ2(t, z(t)), v′′(t)− θ1(t, z(t)) = θ2(t, υ(t)), υ(t)|t=0 = υ(t)t=T , z(t)|t=0 = z(t)t=T .”