Preprint

·2019 OPEN ACCESS

Measure of Non-Compactness in The Study of Solutions for A System of Integral Equations

Vatan Karakaya YTU , M. ‎Mursaleen , Nour El Houda Bouzara YTU , Derya Sekman YTU

Journal of the Indonesian Mathematical Society

Abstract

In this work, we prove the existence of solutions for a tripled systemof integral equations using some new results of fixed point theory associated withmeasure of noncompactness. These results extend the results in some previousworks. Also, the condition under which the operator admits fixed points is moregeneral than the others in literature.

Keywords

Measure (data warehouse) Integral equation Mathematics Operator (biology) Fixed-point theorem Work (physics) Fixed point Mathematical analysis Point (geometry) Applied mathematics Computer science Physics Thermodynamics Chemistry Geometry

Subject Areas

Nonlinear Differential Equations Analysis ·Applied Mathematics ·Physical Sciences
Fixed Point Theorems Analysis ·Geometry and Topology ·Physical Sciences
Advanced Differential Equations and Dynamical Systems ·Geometry and Topology ·Physical Sciences

Citations by Year

OpenAlex SDG Match

SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).

Reduced inequalities 55%