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

Author

Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

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