N-Tupled Coincidence Point Theorems for Probabilistic ψ-Contractions in Menger Spaces. (20th March 2016)

• Record Type: Journal Article
• Authors: Murthy, Penumarthy Parvateesam; Patel, Uma Devi
• Other Names: Hong Don Academic Editor.
• Is Part Of: International journal of computational mathematics. Volume 2016(2016)
• Publication Date: 2016-03-20
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 518.05
• DOI: 10.1155/2016/7109190
• Languages: English
• ISSNs: 2356-797X

Abstract

Abstract : We introducedn -tupled coincidence point for a pair of mapsT : X n → X andA : X → X in Menger space. Utilizing the properties of the pseudometric and the triangular norm, we will establishn -tupled coincidence point theorems under weak compatibility as well asn -tupled fixed point theorems for hybrid probabilisticψ -contractions with a gauge function. Our main results do not require the conditions of continuity and monotonicity ofψ . At the end of this paper, an example is given to support our main theorem.