6533b830fe1ef96bd1297ba8

RESEARCH PRODUCT

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

Francesca VetroJelena VujakovićStojan Radenović

subject

Mathematical optimizationWeakly compatibleGeneral Mathematicsweakly compatiblelcsh:Mathematics010102 general mathematics54C30common fixed pointFixed pointlcsh:QA1-93901 natural sciencesZ-contraction010101 applied mathematicspoint of coincidence54H25Simulation functionCommon fixed pointApplied mathematics0101 mathematicsα-admissible Z-contraction47H10Mathematics

description

Abstract 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.

10.1515/dema-2017-0022http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0022/dema-2017-0022.xml?format=INT