Abstract
In this work, we extend and complement some results in view of general and wider structures, such as b − metric spaces. By considering existing classes of Ζ − contractions and Ψ − simulating functions with a solid impact in database results of fixed point theory, we introduce a new general class of simulating functions, called as Ψ − s simulation functions, and also types of κ ψ − s − contractions in a more general framework. This approach covers, extends, and unifies several published works in the early and late literature.
Highlights
Some of the significant generalizations of metric fixed point theory are related with the well-known Banach Contraction Principle [1] and classical contractions such as Boyd and Wong, Geraghty, Browder, and Ciric
Inspired by the above works, in this paper we introduce a new class of general type of Ψ − s simulation functions, defined in the setting of b−metric-like spaces. is class generalizes further and complements some results given in the framework of b−metric spaces
We denote by Kψ−s the set of all Ψ − s simulation functions
Summary
Some of the significant generalizations of metric fixed point theory are related with the well-known Banach Contraction Principle [1] and classical contractions such as Boyd and Wong, Geraghty, Browder, and Ciric. The theory of fixed points has attracted widespread attention and has been rapidly growing. It was massively studied by many researchers giving new results by using classes of implicit functions defining new and large contractive conditions. Inspired by the above works, in this paper we introduce a new class of general type of Ψ − s simulation functions, defined in the setting of b−metric-like spaces. Inspired by the above works, in this paper we introduce a new class of general type of Ψ − s simulation functions, defined in the setting of b−metric-like spaces. is class generalizes further and complements some results given in the framework of b−metric spaces
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
