arXiv subjects
Publications and source records attributed to Sumit Mohinta.
In this paper we establish the existence of related fixed points theorems for two pairs of mappings with different contraction conditions in two fuzzy metric spaces.
None has studied the well-posedness of common fixed points in fuzzy metric space. In this paper, our target is to develop the well-posedness of common fixed points in fuzzy metric space. Also using weakly compatibility, implicit relation, property (E.A.) and strict contractive conditions, we have established the unique common fixed point for three self mappings and also for four self mappings in fuzzy metric space.
In this paper, first we have established two sets of sufficient conditions for a TS-IF contractive mapping to have unique fixed point in a intuitionistic fuzzy metric space. Then we have defined \,$(\,ε\,,\, λ\,)$\, IF-uniformly locally contractive mapping and \,$η\,-$\,chainable space, where it has been proved that the \,$(\,ε\,,\, λ\,)$\, IF-uniformly locally contractive mapping possesses a fixed point
In this paper, first we have established two sets of sufficient conditions for a mapping to have unique fixed point in a intuitionistic fuzzy metric space and then we have redefined the contraction mapping in a intuitionistic fuzzy metric space and thereafter we proved the Banach Fixed Point theorem.
In respect of the definition of intuitionistic fuzzy n-norm \cite{Vijayabalaji}, the definition of generalised intuitionistic fuzzy $ψ$ norm (\, in short GIF$ψ$N \,) is introduced over a linear space and there after a few results on generalized intuitionistic fuzzy $ψ$ normed linear space and finite dimensional generalized intuitionistic fuzzy $ψ$ normed linear space have been developed. Lastly, we have introduced the definitions of generalised intuitionistic fuzzy $ψ$ continuity , sequentially intuitionistic fuzzy $ψ$ continuity and it is proved that they are equivalent.