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The first aim of this paper is to extend the Skinner-Rusk formalism onclassical mechanics for first-order field theories.  The second is to generalize the definition and properties of the evolutionK-operator on classical mechanics for first-order field theories using in bothcases Gunther's formalism (k-symplectic formalism).Comment: LaTeX file, 33 p

Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator