A new generalized contraction and its application in dynamic programming. Issue 1 (1st January 2018)

• Record Type: Journal Article
• Authors: Ramezani, M.; Ramezani, H.
• Editors: Liu, Lishan
• Is Part Of: Cogent mathematics & statistics. Volume 5:Issue 1(2018)
• Publication Date: 2018-01-01
• Subjects: dynamic programming -- functional equations -- contractive mapping -- common fixed point; 35B40 -- 35L70; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematics; Statistics; Periodicals; 510
• DOI: 10.1080/23311835.2018.1559456
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: By using the idea of Pata [ V. Pata, A fixed point theorem in metric spaces. J. Fixed Point Theory Appl. 10 (2011) 299–305 .] we establish a new common fixed point theorem and as an application, we prove the existence and uniqueness of common solutions for a class of system of functional equations arising in dynamic programming.