Abstract
This work aims to generalize the Banach contraction theorem to M-fuzzy cone metric spaces. We construct generalized M-fuzzy cone contractive conditions for three self mappings with which they have a unique common fixed point.
Highlights
This work aims to generalize the Banach contraction theorem to M-fuzzy cone metric spaces
Fuzzy sets that handle uncertainties well was introduced by Zadeh [10]
The aim here is to construct and prove M-Fuzzy Cone Banach Contraction Theorem and some common xed point theorems for three self mappings which satisfy generalized contractive conditions in M-Fuzzy Cone Metric Spaces and to provide an example to exhibit the same
Summary
Fuzzy sets that handle uncertainties well was introduced by Zadeh [10]. Huang and Zhang [4] introduced cone and dened cone metric spaces as a generalization of metric spaces [1]. This work aims to generalize the Banach contraction theorem to M-fuzzy cone metric spaces. We construct generalized M-fuzzy cone contractive conditions for three self mappings with which they have a unique common xed point. The aim here is to construct and prove M-Fuzzy Cone Banach Contraction Theorem and some common xed point theorems for three self mappings which satisfy generalized contractive conditions in M-Fuzzy Cone Metric Spaces and to provide an example to exhibit the same.
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