An alternative and easy approach to fixed point results via simulation functions

Demonstratio mathematica

article

Stojan Radenovic¹  Francesca Vetro²  Jelena Vujaković³ 

[1] Nonlinear Analysis Research Group, Ton Duc Thang University, & Faculty of Mathematics and Statistics, Ton Duc Thang University;Department of Energy, Information Engineering and Mathematical Models (DEIM), University of Palermo;Faculty of Sciences and Mathematics, University of Priština

关键词: Simulation function;    Z-contraction;    point of coincidence;    common fixed point;    weakly compatible;    α-admissible Z-contraction;   

DOI  :  10.1515/dema-2017-0022

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

We discuss, extend, improve and enrich results on simulation functions established by several authors. Furthermore, by using Lemma 2.1 of Radenovic et al. [Bull. Iran. Math. Soc., 2012, 38, 625],we get much shorter and nicer proofs than the corresponding ones in the existing literature.

【 授权许可】

CC BY