One of the latest techniques in metric fixed point theory is interpolation approach. This notion has so far been examined using standard functional equations. A hybrid form this concept yet to be uncovered by observing available literature. With background information, and based on symmetry rectangular properties generalized spaces, paper introduces a novel unified under name interpolative Y-Ha...

In this paper we prove existence of fixed point theorems for Z-contractive map, Geraghty type contractive map and interpolative Hardy-Rogers type contractive mapping in the setting of SJS- metric spaces with two metrics. Examples are constructed to high light the significance of newly obtained results.

In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide examples. also prove data dependence sets. Moreover, present strict set, well-posedness homotopy results.

A result on bi-shadowing for continuous single-valued contractions satisfying certain conditions has been given by AlBadarneh (2015). In this paper, we continue the discussion of asymptotic properties of trajectories for mappings belonging to more subclasses of almost contractions. In particular, we prove that Zamfirescu Mappings, QuasiContractions, Generalised Contractions, and Hardy-Rogers Co...