The logistic map rx(1x) was given by the Belgian mathematician Pierre Francois Verhulst around 1845 and worked as basic model to study the discrete dynamical system. The behavior of logistic map has been already studied in orbits of one-step, two-step and three-step iterative procedures and it has been established that the logistic map is convergent for larger values of "r" for two-step and three-step iteration methods. In this paper, an attempt have been made to study the convergence of logistic map in Noor orbit, which is a four-step iterative procedure.
In this paper, using the fixed point approach, we proved the Hyers-Ulam-Rassias stability of a Jensen-type quadratic functionalin Multi-Banach Spaces using the ideas from Dales and Polyakov [4].
In this paper, we study the Hyers-Ulam-Rassias stability of the quadratic functionalfor the mapping f from orthogonal linear space in to Banach space. Furthermore, we establish the asymptotic behavior of the above quadratic functional equation. The main result has been supported by well constructed example.
In this paper, we study the generalized Hyers-Ulam-Rassias stability of the additive functional equations f (x + y + z + a) = f (x) + f (y) + f (z) for the mapping f from a linear space into a multi-Banach space. Furthermore, we also establish the asymptotic behavior of the above additive functional equations.
In this paper, we prove strong convergence results for some Jungck type iterative schemes in Convex metric spaces for a pair of non-selfmappings using a certain contractive condition. Our results generalize existing results in the literature.
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