Some Fixed Point Theorems in S-metric Spaces via Simulation Function
Sarita Devi
Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, India.
Manoj Kumar *
Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, India.
Sushma Devi
Department of Mathematics, Kanya Mahavidyalya, Kharkhoda, India.
*Author to whom correspondence should be addressed.
Abstract
We introduce the concept of generalized \(\beta\) - \(\gamma\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to partially ordered complete -metric spaces.
Keywords: \(\beta\) - \(\gamma\) - Z contraction, fixed point, S-metric space.