Abstract
In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a generalized contractive condition. Our results are generalizations for many results in the literature. Some examples are given to support these results.
Highlights
In the year 1965, Zadeh [1] introduced the concept of fuzzy sets which permit the gradual assessment of the membership of the elements in a set
We study the Banach Contraction theorem in the setting of intuitionistic generalized fuzzy cone metric space [11] and to construct some common fixed point theorems for three self mappings which satisfy generalized contractive conditions in the intuitionistic generalized
Let us prove some common fixed point theorems for three self mappings satisfying generalized contractive conditions in a complete IGFCM Space
Summary
In the year 1965, Zadeh [1] introduced the concept of fuzzy sets which permit the gradual assessment of the membership of the elements in a set. In contrast to classical sets, these sets are serving good in describing the vague and imprecise expressions in a formal way As these sets have no means of incorporating the hesitation, Atanassov [2] brought out a possible solution with intuitionistic fuzzy sets in the year 1983. The idea of fuzzy contractive mapping was introduced by Gregori and Sapena [13], and they have extended the Banach fixed point theorem with fuzzy contractive mappings. We study the Banach Contraction theorem in the setting of intuitionistic generalized fuzzy cone metric space [11] and to construct some common fixed point theorems for three self mappings which satisfy generalized contractive conditions in the intuitionistic generalized. Examples are provided to exhibit the novelty of the results given here
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