A Fixed Point Technique for Set-Valued Contractions with Supportive Applications. (12th July 2021)

• Record Type: Journal Article
• Authors: Hammad, Hasanen A.; De la Sen, Manuel
• Other Names: Gandarias Maria L. Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2021(2021)
• Publication Date: 2021-07-12
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2021/6880478
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : In this manuscript, exciting fixed point results for a pair of multivalued mappings justifying rational Gupta-Saxena type Ω -contractions in the setting of extended b -metric-like spaces are established. The theoretical results have also been strengthened by some nontrivial examples. Finally, the theoretical results are used to study the existence of the solution of Fredholm integral equation which arises from the damped harmonic oscillator, to study initial value problem which arises from Newton's law of cooling and to study infinite systems of fractional ordinary differential equations (ODEs).