Fixed Point Theory and the Ulam Stability

Ulam - Hyers Stability Theorem by Tripled Fixed Point Theorem

This paper deals with tripled fixed point theorem, and the approach is based on Perov-type fixed point theorem for contractions in metric spaces endowed with vector-valued metrics. We are also study Ulam-Hyers stability results for the tripled fixed points of a triple of contractive type single-valued and respectively multi-valued operators on complete metric spaces.

Stability and Asymptotic Fixed-point Theory.

Hyers–Ulam–Rassias stability of impulsive Volterra integral equation via a fixed point approach

‎In this paper‎, ‎we establish the Hyers--Ulam--Rassias stability and the Hyers--Ulam stability of impulsive Volterra integral equation by using a fixed point method‎.

A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces

In this paper, we prove the Hyers-Ulam stability in$beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+frac{2(k+1)}{k}f(ky)-2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$

Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods

In this paper, the authors established the generalized Ulam Hyers stability of additive functional equation    