Fixed Point Theorems for Almost Generalized C-Contractive Mappings in Ordered Complete G-Metric Spaces
Nisha Kumari
Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, India.
Manoj Kumar *
Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce a new notion of almost generalized C-contractive mappings in ordered G-metric spaces and we prove certain fixed point theorems in the settings of these spaces using the concept of simulation functions. Some examples are also given to illustrate our results.
Keywords: Altering distance function, common fixed point, C-contractive mapping, fixed point, ordered complete G-metric spaces, weakly increasing functions