Discussion on Some Recent Order-Theoretic Metrical Coincidence Theorems Involving Nonlinear Contractions

الملخص EN

We prove some coincidence theorems involving a pair of self-mappings f and g defined on an ordered metric space X wherein f is g -increasing φ -contractive mapping.

In our results, neither the whole space X nor the range subspaces ( f ( X ) or g ( X ) ) are required to be complete.

Instead, we use the completeness of a subspace of X satisfying suitable conditions.