Discussion on Some Recent Order-Theoretic Metrical Coincidence Theorems Involving Nonlinear Contractions. (30th March 2016)

• Record Type: Journal Article
• Authors: Alam, Aftab; Khan, Qamrul Haq; Imdad, Mohammad
• Other Names: Suzuki Tomonari Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-03-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/6275367
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We prove some coincidence theorems involving a pair of self-mappings f and g defined on an ordered metric space X wherein f is g -increasing φ -contractive mapping. In our results, neither the whole space X nor the range subspaces (f ( X ) or g ( X ) ) are required to be complete. Instead, we use the completeness of a subspace of X satisfying suitable conditions.