A New Kind of Nonlinear Quasicontractions in Metric Spaces.

Authors :: Secelean, Nicolae-Adrian
Source :: Mathematics (2227-7390). May2020, Vol. 8 Issue 5, p661. 1p.
Publication Year :: 2020
Abstract: Starting from two extensions of the Banach contraction principle due to Ćirić (1974) and Wardowski (2012), in the present paper we introduce the concepts of Ćirić type ψ F -contraction and ψ F -quasicontraction on a metric space and give some sufficient conditions under which the respective mappings are Picard operators. Some known fixed point results from the literature can be obtained as particular cases. [ABSTRACT FROM AUTHOR]