This Special Issue originates from The 1st Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM2018) held on 26-29 October 2018 in Antalya, Turkey, and was organized by organized by Prof. Yilmaz Simsek and Prof. Mustafa Alkan from the Department of Mathematics at Akdeniz University, Antalya, Turkey. The conference was dedicated to Prof. Gradimir V. Milovanović on the occasion of his 70th birthday, as is this special issue. In addition to selected contributions presented at the conference, this series includes high-quality papers that outline recent progress in the theory of Inequalities and their applications. Edited by: Allal Guessab and Yilmaz Simsek