Shaban Sedghi, Nabi Shobkolaei, Ishak Altun (2015)
Communications in Mathematics
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In this paper, we introduce the concept of partial fuzzy metric on a nonempty set and give the topological structure and some properties of partial fuzzy metric space. Then some fixed point results are provided.
Xia Zhang, Hao Sun, Moses Olabhele Esangbedo, Xuanzhu Jin (2021)
Kybernetika
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This paper focuses on a new model called fuzzy exchange economy (FXE), which integrates fuzzy consumption, fuzzy initial endowment and the agent’s fuzzy preference (vague attitude) in the fuzzy consumption set. Also, the existence of the fuzzy competitive equilibrium for the FXE is verified through a related pure exchange economy. We define a core-like concept (called weak fuzzy core) of the FXE and prove that any fuzzy competitive allocation belongs to the weak fuzzy core. The fuzzy...
Zuming Peng (2020)
Kybernetika
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Recently, Baczyński et al. (2017) proposed a new family of implication operators called semicopula based implications, which combines a given a priori fuzzy implication and a semicopula. In this paper, firstly, the relationship between the basic properties of the priori fuzzy implication and the semicopula based implication are analyzed. Secondly, the conditions such that the semicopula based implication is a fuzzy implication are studied, the study is carried out mainly in the case...
Dhananjay Gopal, Juan Martínez-Moreno, Rosana Rodríguez-López (2024)
Kybernetika
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Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. However, due to the complexity involved in the nature of fuzzy metrics, the authors need to develop innovative machinery to establish new fixed point theorems in such kind of spaces. In this paper, we propose the concepts of asymptotic fuzzy -contractive and asymptotic fuzzy Meir-Keeler mappings, and describe some new machinery by which the corresponding fixed point theorems are proved. In...
Yi Shi, Wei Yao (2023)
Kybernetika
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The aim of the paper is to present three-variable generalizations of fuzzy metric spaces in sense of George and Veeramani from functional and topological points of view, respectively. From the viewpoint of functional generalization, we introduce a notion of generalized fuzzy 2-metric spaces, study their topological properties, and point out that it is also a common generalization of both tripled fuzzy metric spaces proposed by Tian et al. and -fuzzy metric spaces proposed by Sedghi...
Elango Roja, Mallasamudram Kuppusamy Uma, Ganesan Balasubramanian (2008)
Mathematica Bohemica
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In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.
Yu Shen, Chong Shen, Conghua Yan (2022)
Kybernetika
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The main purpose of this paper is to give a new approach for partial metric spaces. We first provide the new concept of KM-fuzzy partial metric, as an extension of both the partial metric and KM-fuzzy metric. Then its relationship with the KM-fuzzy quasi-metric is established. In particularly, we construct a KM-fuzzy quasi-metric from a KM-fuzzy partial metric. Finally, after defining the notion of partial pseudo-metric systems, a one-to-one correspondence between partial pseudo-metric...
Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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