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During the sixties, the notion of 2-metric space introduced by Gähler see 1, 2 as a generalization of usual notion ofmetric space X, d . But different authors proved that there is no relation between these two functions, for instance, Ha et al. in 3 show that 2-metric need not be continuous function, further there is no easy relationship between results… (More)
Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Analysis Method (HAM) to derive a family of iterative methods for solving systems of nonlinear algebraic equations. Our approach yields second and third order iterative methods which… (More)
In this paper, we prove a common fixed point theorem for commuting maps in G – metric spaces Refer ences-B. C. Dhage, Generalized metric spaces and mappings with fixed point, Bull.
Recommended by Graham Wood We apply the homotopy analysis method HAM for solving the multipantograph equation. The analytical results have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy analysis method. Comparisons are made to confirm… (More)