In the present paper we study the class of harmonic maps on cosymplectic manifolds. First we find the necessary and sufficient condition for the Riemannian map to be harmonic map between two cosymplectic manifolds and then from cosymplectic manifold to Sasakian manifold. Finally, we find the condition for non-existence of harmonic map from cosymplectic manifold to Kenmotsu manifold.
The aim of this article is to study the semilocal convergence of a fifth order method in Banach spaces. Using recurrence relations, we have proved convergence, existence and uniqueness theorem, along with a priori error bounds which shows the R-order of convergence.Finally, we have demonstrated the numerical results on nonlinear integral equation.
The purpose of this work is to develop two new iterative methods for solving nonlinear equations which does not require any derivative evaluations. These composed formulae have seventh and eighth order convergence and desire only four function evaluations per iteration which support the Kung-Traub conjecture on optimal order for without memory schemes. Finally, numerical comparison is provided to show its effectiveness and performances over other similar iterative algorithms in high precision computation.
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