Fixed point, Gregus-Ciric-contraction, monotone mappings, weighted graph
M. R. Alfuraidan, M. A. Khamsi
TL;DR
This paper introduces a new class of contraction mappings called monotone Gregus-Ciric-contraction mappings within weighted digraphs and establishes a fixed point theorem for these mappings in convex weighted digraphs.
Contribution
It presents the first fixed point theorem for monotone Gregus-Ciric-contraction mappings in convex weighted digraphs, expanding fixed point theory in graph-structured spaces.
Findings
Established a fixed point theorem for the new class of mappings.
Extended fixed point results to convex weighted digraphs.
Provided theoretical foundations for monotone Gregus-Ciric-contraction mappings.
Abstract
In this paper, we introduce the concept of monotone Gregus-\'Ciri\'c-contraction mappings in weighted digraphs. Then we establish a fixed point theorem for monotone Gregus-\'Ciri\'c-contraction mappings defined in convex weighted digraphs.
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Taxonomy
TopicsFixed Point Theorems Analysis · Optimization and Variational Analysis