A New Approach to the Study of Fixed Point Theory for Simulation Functions

作者：Khojasteh, Farshid^*; Shukla, Satish; Radenovic, Stojan

来源：Filomat, 2015, 29(6): 1189-1194.

DOI：10.2298/FIL1506189K

• Contraction mapping
• Simulation function
• Z-contraction
• Fixed point

Let (X, d) be a metric space and T : X -> X be a mapping. In this work, we introduce the mapping zeta : [0, infinity) x [0, infinity) -> R, called the simulation function and the notion of Z-contraction with respect to zeta which generalize the Banach contraction principle and unify several known types of contractions involving the combination of d(Tx, Ty) and d(x, y) : The related fixed point theorems are also proved.

• 出版日期2015