Year: 2025
Type: article
Abstract: In this paper, we establish a fixed point theorem for relational F ‐contraction in symmetric spaces employing the idea of locally T‐transitive binary relation in the presence of relational completeness (i.e., R‐completeness) of the underlying spaces. In addition, we also establish corresponding results in regular symmetric spaces. We adopt suitable examples to establish the genuineness of our newly proved results over the corresponding earlier known results. Finally, we also utilize one of our main results to prove an existence and uniqueness result for a suitably equipped Volterra‐type integral equation.
Source: Journal of Mathematics
DOI: 10.1155/jom/6635759
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,160
OpenAlex ID: W4415959580