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This paper formulates a hybrid approximation process involving inertial component and demonstrates a convergence results for it. The formulated scheme converges faster and finds a common solution for some nonlinear operators in Banach spaces. The method of our proof and results obtained is well involved and significant. [ABSTRACT FROM AUTHOR]

In this paper, we prove some common fixed point theorems for a pair of weakly compatible mappings satisfying (Ψ, α, β)-weak contractions in fuzzy metric spaces employing a control function. Our results improve and generalize several previously known relevant results of the existing literature. Some illustrative examples are alsofurnished to substantiate our main results. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some common fixed point theorems for recently introduced notion of D-operator on a set X equipped with the function F: X x X → Δ +without using the triangle inequality besides relaxing symmetric condition. Our results extend the results of Pathak and Rai. [ABSTRACT FROM AUTHOR]