Weakly contractive mappings in partially ordered metric space and solutions of delay interval-valued differential equations under generalized Hukuhara differentiability

Article type: Research Article

Authors: Dinh Phu, Nguyen^{a; b; *} | Vinh An, Truong^c | Nhut Hung, Nguyen^d

Affiliations: [a] Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [b] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [c] Faculty of Basic Sciences, HCMC University of Technology and Education, Vietnam | [d] Faculty of Mathematics and Computer Science, University of Science, Vietnam National University, Ho Chi Minh City, Vietnam

Correspondence: [*] Corresponding author. Nguyen Dinh Phu. E-mail: [email protected].

Abstract: In this paper, by weakly contractive mappings in partially ordered metric space, we have proved problem of existence and uniqueness solution for delay interval-valued differential equations under generalized Hukuhara differentiability (DIDEs). We give also some examples being simple illustrations of this DIDEs.

Keywords: Partially ordered space, The metric Hausdorff metric space, Generalized Hukuhara differentiability, Delay interval-valued differential equations, Weakly contractive mapping

DOI: 10.3233/JIFS-18604

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 1, pp. 637-647, 2019