Results on n-tupled fixed points in complete asymptotically regular metric spaces

Abstract

The notion of n-tupled fixed point is introduced by Imdad, Soliman, Choudhury and Das, Jour. of Operators, Vol. 2013, Article ID 532867. In this manuscript, we prove some n-tupled fixed point theorems (for even n) for mappings having mixed monotone property in partially ordered complete asymptotically regular metric spaces. Our main theorem improves the corresponding results of Imdad, Sharma and Rao (M. Imdad, A. Sharma, K.P.R. Rao, Generalized n-tupled fixed point theorems for nonlinear contractions, preprint).

Keywords

• Partially ordered set
• Metric space
• Asymptotically regular sequence
• Mixed monotone property
• n-Tupled fixed point