In this manuscript, we consider the interpolative contractions mappings via simulation func- tions in the setting of complete metric space. We also express an illustrative example to show the validity of our presented results.
In this paper, we introduce the notions of Z?-ontractions and Suzuki Z?-contractions via ?-simulation functions. By using these new contractions, extend unify several existing fixed point results in corresponding literature. We also show that recently defined notion L-simulation
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-posedn
Interpolative Kannan contractions are a refinement of contraction, which is considered as one the significant notions in fixed point theory. Gb-metric spaces generalized concept both concepts b-metric and G-metric therefore, common results contraction based on this resultsfor con
<p>The conceptions of <em>b</em>-metric spaces and metric play a remarkable role in proving many theorems uniqueness existence solution such equations as integral or differential equations. The conception extended is considered generalization concept this was em
Abstract In this manuscript we introduce the notion of $(\alpha,\beta,\psi,\phi)$ ( ? , ? ? ? ) -interpolative contraction that unifies and generalizes significant concepts: Proinov type contractions, interpolative ample spectrum contraction. We investigate necessary sufficient c
In this paper, a new stratification of mappings, which is called $Psi$-simulation functions, is introduced to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods hav