Coincidence Theorems under Generalized Nonlinear Relational Contractions

After the appearance of relation-theoretic contraction principle due to Alam and Imdad, domain fixed point theory applied relational metric spaces has attracted much attention. Existence uniqueness fixed/coincidence points satisfying different types contractivity conditions in framework space have been studied recent times. Such results great advantage solve certain matrix equations boundary value problems for ordinary differential equations, integral fractional equations. This article is devoted proving coincidence common theorems a pair mappings (T,S) employing (ϕ,ψ)-contractions equipped with locally finitely T-transitive relation. Our improve, modify, enrich unify several existing as well results. Several examples are provided substantiate utility our