Research Communication | Open Access
Volume 2021 | Communication ID 87
Fixed point problems on functional inequalities with applications
Muhammad Nazam, Choonkil Park, Muhammad Arshad
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2021
February 15, 2021
March 15, 2021

Abstract: Banach Contraction Principle has been generalized by introducing various new inequalities called contractions or contractive conditions and metric structures. Its applications mostly address differential, integral, functional and matrix equations (both linear and nonlinear). One of these generalizations is F-contraction (presented by Wardowski [2]) and other is given by Nadler [3] In this talk, following [1-3], we shall introduce some new contractions called the set-valued-contractions and investigate some conditions under which these contractions admit fixed points. We show that the ...