Existence of coincidence point for weakly increasing mappings satisfies (ψ, φ)-weakly contractive condition in partially ordered metric spaces. (2016)

• Record Type: Journal Article
• Authors: Gupta, Vishal; Deep, Raman; Tripathi, Adesh Kumar
• Is Part Of: International journal of computing science and mathematics. Volume 7:Number 6(2016)
• Page Start: 495
• Page End: 508
• Publication Date: 2016
• Subjects: partial ordering -- control functions -- weak contractive inequality -- coincidence point -- weakly increasing mappings -- metric spaces -- fixed point theorems; Mathematics -- Periodicals; Computer science -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.285
• Languages: English
• ISSNs: 1752-5055

Abstract

Nashine and Samet (2011) showed some common fixed point theorems for two mappings satisfying (ψ, φ) weakly contractive condition in an ordered complete metric space. Further, this result was extended by Shatanawi and Samet (2011) to three mappings S, T and R satisfying weakly contractive condition in partially ordered metric spaces in which S, T were assumed to be weakly increasing with respect to R. In the present paper, we define weakly increasing mapping for four self maps and then implant it to prove the coincidence point theorem satisfying a generalised contractive principle.