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All Journal Asian Journal of Science, Technology, Engineering, and Art Mikailalsys Journal of Advanced Engineering International Mikailalsys Journal of Mathematics and Statistics
Tiwari, Surendra Kumar
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Arts Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Electrical & Electronics Engineering Engineering Mathematics Mechanical Engineering Social Sciences

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Relative Strength of Common Fixed Point Results for Two Self Mapping in Fuzzy Metric Space Tiwari, Surendra Kumar; Agrawal, Ranu
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4510

Abstract

The concept of fuzzy metric space, which was introduced by Kramosil and Michalek (1975), is used in this article. In this manuscript, we present and generalize some common fixed point theorems in fuzzy metric spaces, which is an extension of the well-known results given by shen, Y. et al. (2012) in the sense of Schweizer and Sklar(1983).
Investigation of Integral Transformation Associated with Extended Generalized Srivastava’s Hypergeometric Multi Variable Special Function Kulmitra, Mausmi; Tiwari, Surendra Kumar
Mikailalsys Journal of Advanced Engineering International Vol 1 No 1 (2024): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v1i1.2806

Abstract

In recent year study on multivariate special functions and Integral transformation have been booming. In this work, we have focused on Srivastava hypergeometric function , , and with triple variable. We have discussed the literature study and motivation from the recent works on the extension of Srivastava’s multivariable hypergeometric function , , and . In this paper, the extension of , , and is studied based on the generalized beta function and the generalized Pochhammer’s symbol . Furthermore, the Mellin integral transformation and Inverse Mellin integral transformation have been studied for the based extension of the functions , , and . A few of the most recent uses of these transformations in various scientific and engineering fields are also highlighted in this paper. In general, this work seeks to offer a thorough overview of recent breakthroughs in the importance and applications of several integral transforms of Multivariable functions.
Contraction Type Expansive Map on Complex Valued Metric Space with Fixed Points Tiwari, Surendra Kumar; Sonant, Bindeshwari; Sahani, S.K.
Asian Journal of Science, Technology, Engineering, and Art Vol 1 No 2 (2023): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v1i2.1924

Abstract

According to the present paper, the two self mappings that satisfy contraction type conditions of expansive in complete complex valued metric space reveals that these mappings have some common fixed points. Furthermore, the paper provides generalizations and extensions of well-known results from the existing literature which further expands our understanding of this topic. Some illustrative examples are given to help us obtain results.
Rational Contraction in Metric Space and Common Fixed Point Theorems Tiwari, Surendra Kumar; Ganvir, Jayant Prakash
Asian Journal of Science, Technology, Engineering, and Art Vol 2 No 1 (2024): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v2i1.2545

Abstract

The study of contraction mappings in fixed-point theory is a fascinating and crucial field of mathematics. The concept of contraction plays a vital role in proving the existence and uniqueness of fixed points. Banach's contraction theory offers a fixed point theorem that is widely accepted as unique in most analyses. By using rational expressions in metric spaces, we can achieve unique results in general contraction mapping. These results are based on several innovative ideas stemming from the latest research. The delivered results upgrade and federate many existing outcomes on the topic in the literature Bhardwaj, R. et al. (2007) Chouhan et al. (2014) and Garg and Priyanka (2016). Also gives some suitable examples for verifying our results.
Analytical Analysis of Common Fixed Point Results in Fuzzy Cone Metric Spaces Tiwari, Surendra Kumar; Agrawal, Ranu
Asian Journal of Science, Technology, Engineering, and Art Vol 2 No 2 (2024): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v2i2.2804

Abstract

The concept of fuzzy sets was introduced by Zadeh (1965) which marked the beginning of the evolution of fuzzy mathematics. The introduction of uncertainty in the theory of sets in a non-probabilistic manner opened up new possibilities for research in this field. Since then, many authors have explored the theory of fuzzy sets and its applications, leading to successful advancements in various fields such as mathematical programming, model theory, engineering sciences, image processing, and control theory. In this paper, we aim to improve and generalize some common fixed point theorems in fuzzy cone metric spaces, an extension of the well-known results given by Saif Ur Rahman and Hong Xu-Li (2017).
Expansive Type Rational Contraction in Metric Space and Common Fixed Point Theorems Yadav, Devnarayan; Tiwari, Surendra Kumar
Mikailalsys Journal of Mathematics and Statistics Vol 1 No 1 (2023): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v1i1.2029

Abstract

The field of expansive mappings in fixed-point theory is one of the most fascinating areas in mathematics. In this theory, contraction is one of the main tools used to prove a fixed point's existence and uniqueness. For all of the analyses, the fixed point theorem proposed by Banach's contraction theory is highly popular and widely used to prove that a solution to the operator equation Tx=x exists and is unique. Through the present article, we utilize rational expressions in metric spaces to deliver unique common stable (fixed) point results in expansive mapping. The main outcomes of numerous relevant innovations in the newest research are built upon them.
Co-Authors Agrawal, Ranu Ganvir, Jayant Prakash Kulmitra, Mausmi Sahani, S.K. Sonant, Bindeshwari Yadav, Devnarayan