Generalized Meir-Keeler type n-tupled fixed point theorems in ordered partial metric spaces

Abstract

In this paper, we prove n-tupled fixed point theorems (for even n) for mappings satisfying Meir-Keeler type contractive condition besides enjoying mixed monotone property in ordered partial metric spaces. As applications, some results of integral type are also derived. Our results generalize the corresponding results of Erduran and Imdad (J. Nonlinear Anal. Appl. 2012Appl. :jnaa-00169, 2012.

Common fixed point theorems for weakly C-contractive mappings in ordered partial metric spaces

“…Letting i → +∞ in the above inequalities, and using (2.14), (2.15) and (2.16), we obtain 18) which means that φ(r 0 , r 1 ) = 0, hence r 0 = 0 and r 1 = 0. Since…”

“…In the same reference, some fixed point theorems were investigated. Recently, many authors paid much attention to partial metric spaces, and generalized the fixed point theorems in metric spaces into theorems in partial metric spaces (see, e.g., [1,2,4,5,6,10,11,12,14,16,18,19,20,26,28] and references therein).…”

n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application

“…The concept of coupled fixed point was introduced by Bhaskar and Lakshmikantham [1] and it motivated the fixed point theorists to work in the area of multidimensional fixed points; for example, see [2][3][4][5][6][7][8][9].…”