In this paper a general fixed point theorem in G-metric spaces for weakly compatible mappings is proved, theorem which generalize the results from Abbas et. al. [M.

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In this paper, two general fixed point theorem for a sequence of mappings satisfying implicit relations in Gp -complete metric spaces are proved.2010 MSC: 47H10; 54H25.

Abstract. The purpose of this paper is to prove a general fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in partial metric spaces, which generalizes Theorem 2.

Abstract. In this paper the notion of common coincidence range property is introduced and a general coincidence and fixed point theorem is proved. As applications, new results for mappings satisfying a contractive condition of integral type and for mappings satisfying a φ-contractive condition are obtained.