Remarks on a fixed-point theorem of Gerald Jungck. (1990)

• Record Type: Journal Article
• Authors: Singh, Maibam Ranjit
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 13:Number 4(1990)
• Page Start: 779
• Page End: 782
• Publication Date: 1990
• Subjects: fixed point theorem -- continuous self-mappings -- and complete metric space; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171290001089
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : Jungck [1] obtained a fixed-point theorem for a pair of continuous selfmappings on a complete metric space. Recently, Barada K. Ray [2] extended the theorem of Jungck [1] for three self-mappings on a complete metric space. In the present paper we omit the continuity of the mapping used by Ray [2] and replace his four conditions by a single condition. Our results so obtained generalize and/or unify fixed-point theorems of Jungck [1], Ray [2], Rhoades [3], Ciric [4], Pal and Maiti [5], and Sharma and Yuel [6].