Some fixed point theorems in intuitionistic fuzzy metric space with certain contractive conditions

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dc.contributor.advisorSanjay Kumar
dc.contributor.authorDimri, Ritikesh
dc.date.accessioned2022-12-01T14:47:51Z
dc.date.available2022-12-01T14:47:51Z
dc.date.issued2022-09
dc.description.abstractIn the present research work fixed point theorems in complete fuzzy metric space due to Wairojjana et al. (2015) and Patir et al. (2018) are extended to complete intuitionistic fuzzy metric space with certain contractive conditions using altering distance functions. The work is presented in five chapters. Chapter one focuses on the basic preliminaries and definitions related to metric spaces, fuzzy metric spaces, intuitionistic fuzzy metric spaces, contractive mapping, altering distance function and fixed point. Chapter two presents a review of the literature which is studied during the proposed work. In chapter three definition of increasing and decreasing altering distance function is given.Fixed point theorems due to Wairojjana et al. (2015) and Patir et al. (2018) for complete fuzzy metric space extented to complete intuitionistic fuzzy metric spaceare proved in this chapter. In chapter four, the theorems proved are supported by few examples. Chapter five summarizes the work in brief along with the conclusions. The literature used in the course of the study has been referred under the section of literature citeden_US
dc.identifier.urihttps://krishikosh.egranth.ac.in/handle/1/5810190231
dc.keywordsfixed point theorems, fuzzy metric spaceen_US
dc.language.isoEnglishen_US
dc.pages40en_US
dc.publisherG.B. Pant University of Agriculture and Technology, Pantnagar, District Udham Singh Nagar, Uttarakhand. PIN - 263145en_US
dc.research.problemFuzzy metric spaceen_US
dc.subMathematicsen_US
dc.themeFixed point theoremsen_US
dc.these.typeM.Scen_US
dc.titleSome fixed point theorems in intuitionistic fuzzy metric space with certain contractive conditionsen_US
dc.typeThesisen_US
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