In this paper, we proved some fixed point theorems in intuitionistic fuzzy metric spaces applying the properties of weakly compatible mapping and satisfying the concept of implicit relations for t norms and t connorms.
In this paper,we discuss the common fixed point with respect to several self-mappings on fuzzy metric space.Recently many authors put forward some relevant common fixed point theorems,and their theorems require that t...In this paper,we discuss the common fixed point with respect to several self-mappings on fuzzy metric space.Recently many authors put forward some relevant common fixed point theorems,and their theorems require that these mappings have some assumptions such as commutativity or compatibility.However,our results do not need these assumptions but only these mappings areφ-probabilistic contraction.By defining a new mapping on the space which formed by compact sets,we can obtain these mappings’common fixed point.Also,we give some examples to justify our results.展开更多
Following George and Veeramani et. al. [On some results in Fuzzy Metric Spaces, Fuzzy Sets Syst. 64 (1994) 395-399], we essentially deal with the classical sequence spaces using of the standard fuzzy metric with t-n...Following George and Veeramani et. al. [On some results in Fuzzy Metric Spaces, Fuzzy Sets Syst. 64 (1994) 395-399], we essentially deal with the classical sequence spaces using of the standard fuzzy metric with t-norm. We consider well-known classical sequence spaces such as l∞ , C, C0 and l p, and we have construct it with standard fuzzy metric. Finally, the completeness of these spaces was given by using the same metric.展开更多
In the present paper, we show that there exists a unique common fixed point for four self maps in a fuzzy metric space where two of the maps are reciprocally continuous and the other two maps are z-asymptotically comm...In the present paper, we show that there exists a unique common fixed point for four self maps in a fuzzy metric space where two of the maps are reciprocally continuous and the other two maps are z-asymptotically commuting.展开更多
This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy theφ-contractive conditions.Many basic defini...This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy theφ-contractive conditions.Many basic definitions and theorems have been used from some recent scientific papers about the binary operator,t-norm,t-conorm,intuitionistic fuzzy metric space,and compatible mapping for reaching to the paper’s purpose.展开更多
文摘In this paper, we proved some fixed point theorems in intuitionistic fuzzy metric spaces applying the properties of weakly compatible mapping and satisfying the concept of implicit relations for t norms and t connorms.
文摘In this paper,we discuss the common fixed point with respect to several self-mappings on fuzzy metric space.Recently many authors put forward some relevant common fixed point theorems,and their theorems require that these mappings have some assumptions such as commutativity or compatibility.However,our results do not need these assumptions but only these mappings areφ-probabilistic contraction.By defining a new mapping on the space which formed by compact sets,we can obtain these mappings’common fixed point.Also,we give some examples to justify our results.
文摘Following George and Veeramani et. al. [On some results in Fuzzy Metric Spaces, Fuzzy Sets Syst. 64 (1994) 395-399], we essentially deal with the classical sequence spaces using of the standard fuzzy metric with t-norm. We consider well-known classical sequence spaces such as l∞ , C, C0 and l p, and we have construct it with standard fuzzy metric. Finally, the completeness of these spaces was given by using the same metric.
文摘In the present paper, we show that there exists a unique common fixed point for four self maps in a fuzzy metric space where two of the maps are reciprocally continuous and the other two maps are z-asymptotically commuting.
文摘This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy theφ-contractive conditions.Many basic definitions and theorems have been used from some recent scientific papers about the binary operator,t-norm,t-conorm,intuitionistic fuzzy metric space,and compatible mapping for reaching to the paper’s purpose.