Fixed Point Theorems and Asymptotically Regular Mappings in Partial Metric Spaces. (23rd May 2013)

• Record Type: Journal Article
• Authors: Shukla, Satish; Altun, Ishak; Sen, Ravindra
• Other Names: Amodio P. Academic Editor.; Ruskin H. J. Academic Editor.; Tadić B. Academic Editor.
• Is Part Of: ISRN computational mathematics. Volume 2013(2013)
• Publication Date: 2013-05-23
• Subjects: Numerical analysis -- Periodicals; Mathematics -- Data processing -- Periodicals; Mathematics -- Data processing; Numerical analysis; Electronic journals; Periodicals; 510
• DOI: 10.1155/2013/602579
• Languages: English
• ISSNs: 2090-7842

Abstract

Abstract : The notion of asymptotically regular mapping in partial metric spaces is introduced, and a fixed point result for the mappings of this class is proved. Examples show that there are cases when new results can be applied, while old ones (in metric space) cannot. Some common fixed point theorems for sequence of mappings in partial metric spaces are also proved which generalize and improve some known results in partial metric spaces.