Relation‐Theoretic F‐Contractions in Symmetric Spaces With Applications

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.