Papers by Krishnapada Das
In this paper, we establish the results on existence and uniqueness of fixed point for φ-contract... more In this paper, we establish the results on existence and uniqueness of fixed point for φ-contractive and generalized C-contractive mapping in the fuzzy metric space in the sense of George and Veeramani. We use the notion of altering distance for proving the results. Full text Acknowledgment: The work is partially supported by Council of Scientific and Industrial Research, India (Project No. 25(0168)/ 09/EMR-II). The first author gratefully acknowledges the support.
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Acta Mathematica Hungarica, 2008
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Journal of Mathematical and Computational Science, 2012
Probabilistic fixed point theory has developed substantially during the last two decades. In this... more Probabilistic fixed point theory has developed substantially during the last two decades. In this paper we define a new contraction in probabilistic metric spaceswhich are spaces in which distribution functions play the role of the metric. We haveshown that under two separate conditions the mapping has a fixed point. Two illustrative examples are given.
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Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line wit... more Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. [Bull. Austral. Math. Soc., 30(1984), 1-9] in metric spaces and extended by Choudhury et al. [Acta Mathematica Sinica, 24(8) (2008), 1379-1386] in probabilistic metric spaces. An example has also been constructed. Full text
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Journal of Mathematics and Computer Science
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Communications of the Korean Mathematical Society, 2012
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Journal of Mathematical and Computational Science, Mar 19, 2012
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Azerbaijan Journal of Mathematics
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The present authors had introduced generalized Menger space as a generalization of certain probab... more The present authors had introduced generalized Menger space as a generalization of certain probabilistic metric spaces. In this paper we establish a basic fixed point theorem in this types of spaces. Our result is supported by an example.
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We define a generalized contraction in a probabilistic 2-metric space. We show that whenever the ... more We define a generalized contraction in a probabilistic 2-metric space. We show that whenever the space is complete, the contraction will have a unique fixed point. A control function is utilized in our theorem. The result is illustrated with an example.
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Mathematical Sciences Letters, 2012
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Fuzzy Sets and Systems, 2013
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Chaos, Solitons & Fractals, 2009
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Int. J. Pure Appl. Sci. Technol, 2011
... Research Paper Fixed Point Theorem for Mappings with Cyclic Contraction in Menger Spaces Bina... more ... Research Paper Fixed Point Theorem for Mappings with Cyclic Contraction in Menger Spaces Binayak S. Choudhury 1, Krishnapada Das 2,* and Samir Kumar Bhandari 3 1,2,3Department of Mathematics, Bengal Engineering and Science University, Shibpur, ...
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Journal of Physical Sciences, 2006
We obtain a fixed point theorem involving n different fuzzy spaces and n mappings. Next we get a ... more We obtain a fixed point theorem involving n different fuzzy spaces and n mappings. Next we get a fixed point result in a non-empty fuzzy space with n mappings which satisfy some conditons. Lastly we obtain another fixed point result in a non-empty fuzzy space with n ...
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Surveys in Mathematics and its …, 2009
In metric fixed point theory, the concept of altering distance function has been used by many aut... more In metric fixed point theory, the concept of altering distance function has been used by many authors in a number of works on fixed points. An altering distance function is actually a control function which alters the distance between two points in a met-ric space. This concept ...
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Commun. Korean Math. Soc, 2009
Branciari [1] introduced the concept of generalized metric space. He replace triangular inequalit... more Branciari [1] introduced the concept of generalized metric space. He replace triangular inequality by a quadrangular inequality. The definition of general-ized metric space is as follows: Definition 1.1 ([1]). Let X be a nonempty set, R+ be the set of all positive real numbers and d : X × X ...
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Papers by Krishnapada Das