Year: 2026
Type: article
Abstract: In the present paper, we will introduce and exemplify the class of almost weakly Picard operator, taking into account some weak forms of the Picard operators, which is one of the most important concepts of metric fixed point theory, available in the literature. Then, we will present a fixed point theorem that shows that this new class is not meaningless by developing the concept of “mapping contracting perimeters of triangles” recently defined by Petrov. Finally, we will define the concept of $$(\phi ,L)$$ ( ϕ , L ) -contractive perimeters of triangles using comparison functions and show that such mappings are weakly Picard operators in the complete metric space.
Authors: Ümran Başar, Ishak Altun
Institution: Kırıkkale University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Funder: Kırıkkale Üniversitesi
OpenAlex ID: W7126072992