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Öğe A RELATED FIXED POINT THEOREM ON TWO METRIC SPACES SATISFYING A GENERAL CONTRACTIVE CONDITION OF INTEGRAL TYPE(Eudoxus Press, Llc, 2009) Alaca, CihangirIn this paper, we prove a related fixed point theorem on two complete metric spaces satisfying a general contractive condition of integral type.Öğe Common Fixed Points of Compatible Maps in Intuitionistic Fuzzy Metric Spaces(Southeast Asian Mathematical Soc-Seams, 2008) Alaca, Cihangir; Turkoglu, Duran; Yildiz, CemilIn this paper, we introduce the concepts of commutativity and give the relationship between the concepts of commutativity and compatibility in intuitionistic fuzzy metric spaces. Thereafter, we prove two common fixed point theorems for the concept of compatibility in intuitionistic fuzzy metric spaces and give an example to support our main theorem.Öğe FIXED POINT RESULTS FOR MAPPINGS SATISFYING A GENERAL CONTRACTIVE CONDITION OF OPERATOR TYPE IN DISLOCATED FUZZY QUASI-METRIC SPACES(Eudoxus Press, Llc, 2010) Alaca, CihangirIn this paper, we define the notion of dislocated fuzzy quasi-metric spaces with the help of Hitzler and Seda [18] in the sense of Kramosil and Michalek [19] and also George and Veeramani [14]. Further, we give some fixed point results for coincidentally bi-commuting mapping satisfying a general contractive condition of operator type in dislocated fuzzy quasi-metric spaces.Öğe ON COMPATIBLE MAPPINGS OF TYPE (I) AND (II) IN INTUITIONISTIC FUZZY METRIC SPACES(Korean Mathematical Soc, 2008) Alaca, Cihangir; Altun, Ishak; Turkoglu, DuranIn this paper, we give some new definitions of compatible mappings in intuitionistic fuzzy metric spaces and we prove a common fixed point theorem for four mappings under the condition of compatible mappings of type (I) and of type (II) in complete intuitionistic fuzzy metric spaces.Öğe ON FIXED POINT THEOREMS IN INTUITIONISTIC FUZZY METRIC SPACES(Korean Mathematical Soc, 2009) Alaca, CihangirIn this paper, we give some new fixed point theorems for contractive type mappings in intuitionistic fuzzy metric spaces. We improve and generalize the well-known fixed point theorems of Banach [4] and Edelstein [8] in intuitionistic fuzzy metric spaces. Our main results are intuitionistic fuzzy version of Fang's results [10]. Further, we obtain some applications to validate our main results to product spaces.












