Common Fixed Point Theorems of Greguš Type (ϕ, ψ)-Weak Contraction for R-Weakly Commuting Mappings in 2-Metric Spaces. (20th October 2015)

• Record Type: Journal Article
• Authors: Parvateesam Murthy, Penumarthy; Devi Patel, Uma
• Other Names: Verma Ram U. Academic Editor.
• Is Part Of: Journal of operators. Volume 2015(2015)
• Publication Date: 2015-10-20
• Subjects: Operator theory -- Periodicals; Operator theory; Periodicals; 515.724
• DOI: 10.1155/2015/195731
• Languages: English
• ISSNs: 2314-5064

Abstract

Abstract : The main purpose of this paper is to establish a common fixed point theorem for set valued mappings in 2-metric spaces by generalizing a theorem of Abd EL-Monsef et al. (2009) and Murthy and Tas (2009) by using ( ϕ, ψ ) -weak contraction in view of Greguš type condition for set valued mappings using R -weakly commuting maps.