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Your search keyword '"Dubey, Nikita"' showing total 8 results
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8 results on '"Dubey, Nikita"'

4. SOME FIXED POINT THEOREMS IN FUZZY METRIC-LIKE SPACES.

Author

RAI, SHWETA, DUBEY, NIKITA, and SHUKLA, SATISH

Subjects
FIXED point theory, BANACH spaces, GENERALIZATION, MATHEMATICAL mappings, MATHEMATICAL formulas
Abstract

This paper aims to establish some fixed point results for a new class of contractive type mappings in fuzzy metric-like spaces. The results of this paper generalize and extend the Banach contraction principle and some other known results in the setting of fuzzy metric-like spaces. [ABSTRACT FROM AUTHOR]

Published
2024
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5. Coincidence Point of Edelstein Type Mappings in Fuzzy Metric Spaces and Application to the Stability of Dynamic Markets

Author

Shukla, Satish, Dubey, Nikita, Shukla, Rahul, Mezník, Ivan, Shukla, Satish, Dubey, Nikita, Shukla, Rahul, and Mezník, Ivan

Abstract

In this paper, we prove a coincidence point result for a pair of mappings satisfying Edelstein-type contractive condition on fuzzy metric spaces. We describe the equilibrium of a simple demand-supply model of a dynamic market by the coincidence point of demand and supply functions. With the help of the coincidence point theorem in fuzzy metric spaces, it is showed that a dynamic market of a supply-sensitive nature (or demand-sensitive nature) always tends towards its equilibrium.

Published
2023

6. Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems.

Author

Shukla, Satish, Dubey, Nikita, and Shukla, Rahul

Subjects
*INITIAL value problems, *BANACH algebras, *CONES, *BANACH spaces, *MATHEMATICAL mappings
Abstract

In this paper, we introduce the notion of graphical cone metric spaces over Banach algebra and prove some fixed point results for a particular type of contractive mappings defined on such spaces. These results extend and generalize several results from metric, graphical metric, and cone metric spaces. Some examples that demonstrate the results proved herein are provided. An application of our results to the existence of solution of a pair of initial value problems is provided. [ABSTRACT FROM AUTHOR]

Published
2023
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