Dr. Megha Subhash Pingale (Kothawade)

@engg.ggsf.edu.in

Assistant Professor ,Mathematics
Guru Gobind Singh College of Engineering & Research Centre

Dr. Megha Subhash Pingale (Kothawade)


                     Download Compact PDF  
https://researchid.co/meghakothawade

EDUCATION

Ph.D. in Pure Mathematics

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Analysis, General Mathematics, Applied Mathematics
7

Scopus Publications

34

Scholar Citations

4

Scholar h-index

1

Scholar i10-index

Scopus Publications

  • Fixed point results comprising with modular metric space and modular b-metric space using integral type
    Megha S. Pingale, Renu P. Pathak, Reeta Bhardwaj
    Advances in Algebra Analysis and Topology, 2024
    The objective of the research article to derive common fixed-point theorem for two ρ-compatible functions with integral type in the sense of modular b-metric space, by employing the ∆2− condition. We generalized the results of Pathak and Bhardwaj [Computer Engineering and Intelligent Systems, 4(9), 2013] in modular b-metric spaces.
  • Fixed points theorems for generalized Cψβ-rational contraction mapping in relational metric space
    Anjana Anjana, Naveen Mani, Amit Sharma, Megha Pingale
    Journal of Interdisciplinary Mathematics, 2024
    In this article, by employing the notion of locally f – transitivity binary relation in relational theoretic metric space, to find the existence and uniqueness of fixed point for single self-map with satisfying Cψ β – rational type contractive mapping. Moreover, some examples are also presented to justify the importance of our proved results. Our main outcome extends and generalize in several existing results of literature.
  • Study of fixed point theorems using C-class function in partially ordered b-metric spaces
    Megha Pingale, Renu Patha, Rahul Shukla, Naveen Mani
    Journal of Interdisciplinary Mathematics, 2024
    This article demonstrates the.existence.of.fixed points for two pairs of self-maps in the context.of a partially. ordered. b-metric.space, using the C-class function. Furthermore, by the use of compatibility condition on maps, uniqueness.of.fixed.points are obtained. Our findings expand upon and provide a broader application for several established outcomes in the existing literature.
  • On Pair of Compatible Mappings and Coincidence Point Theorems in b-Metric Spaces
    Anjana, Naveen Mani, Megha Pingale, Rahul Shukla
    International Journal of Analysis and Applications, 2024
    The main goal of this study is to give two different results for a couple of compatible self-mappings. The first result provides the necessary condition for the existence of a coincidence point for a pair of mappings that are partially weakly increasing in partially ordered b-metric spaces. Additionally, we establish a fixed point result in order to guarantee the uniqueness of common fixed points for pair of maps satisfying the b-(E.A.) Property. Our findings extends and improve well established results of existing literature. In order highlight the distinctiveness of our main theorems, two discrete examples with Tabular and Graphical representations are also presented.
  • Fixed Point Theory in Extended Parametric Sb-Metric Spaces and Its Applications
    Naveen Mani, Sunil Beniwal, Rahul Shukla, Megha Pingale
    Symmetry, 2023
    This article introduces the novel concept of an extended parametric Sb-metric space, which is a generalization of both Sb-metric spaces and parametric Sb-metric spaces. Within this extended framework, we first establish an analog version of the Banach fixed-point theorem for self-maps. We then prove an improved version of the Banach contraction principle for symmetric extended parametric Sb-metric spaces, using an auxiliary function to establish the desired result. Finally, we provide illustrative examples and an application for determining solutions to Fredholm integral equations, demonstrating the practical implications of our work.
  • Common fixed-point theorems for four maps using b - E.A. property
    Megha Pingale, Renu Pathak, Amit Sharma, Kamal Kumar, Naveen Mani
    Aip Conference Proceedings, 2023
  • FIXED POINT THEOREMS IN FUZZY b-METRIC SPACES USING TWO DIFFERENT t-NORMS
    Advances in Fixed Point Theory, 2023
    The primary objective of this study is to derive some theorems in fuzzy b-metric spaces under some assumptions on t-norms satisfying rational contractions. Some consequence results of our main finding are also given. At last, to validate our main results, two examples with graphical representation are also presented.

RECENT SCHOLAR PUBLICATIONS

  • Fixed Point Results Comprising with Modular Metric Space and Modular b-Metric Space Using Integral Type
    MS Pingale, RP Pathak, R Bhardwaj
    Advances in Algebra Analysis and Topology, 98-107 , 2024
    2024.0
  • On pair of compatible mappings and coincidence point theorems in b-metric spaces
    N Mani, M Pingale, R Shukla
    International Journal of Analysis and Applications 22, 176-176 , 2024
    2024.0
    Citations: 4
  • COMMON FIXED POINTS RESULTS SATISFYING (ψ, φ)-WEAK CONTRACTION IN PARTIALLY ORDERED b-METRIC SPACES
    M PINGALE, R PATHAK, N MANI
    Bull. Cal. Math. Soc 116 (2), 243-256 , 2024
    2024.0
  • Common Fixed Points Theorems in Partially Ordered b-Metric Spaces
    MS Pingale, NK Mani
    2024.0
  • COMMON FIXED POINTS RESULTS SATISFYING (ψ, φ)-WEAK CONTRACTION IN PARTIALLY ORDERED b-METRIC SPACES
    RPANDNM MEGHA PINGALE
    Journal of the Calcutta Mathematical Society, 20 (1), 14 , 2024
    2024.0
  • Study of Fixed Point Theorems UsingC-Class Function in Partially Ordered b-Metric Spaces
    M Pingale, R Patha, R Shukla, N Mani
    J. Interdiscip. Math 27, 1765-1771 , 2024
    2024.0
    Citations: 2
  • FIXED POINTS THEOREMS FOR GENERALIZED Cψ β-RATIONAL CONTRACTION MAPPING IN RELATIONAL METRIC SPACE
    A ANJANA, N MANI, A SHARMA, M PINGALE
    Journal of Interdisciplinary Mathematics 27 (8), 1787-1795 , 2024
    2024.0
    Citations: 1
  • Fixed Point Theory in Extended Parametric S b -Metric Spaces and Its Applications
    N Mani, S Beniwal, R Shukla, M Pingale
    Symmetry 15 (12), 2136 , 2023
    2023.0
    Citations: 10
  • Common fixed-point theorems for four maps using b–EA property
    M Pingale, R Pathak, A Sharma, K Kumar, N Mani
    AIP Conference Proceedings 2735 (1), 040013 , 2023
    2023.0
  • Fixed point theorems in fuzzy b-metric spaces using two different t-norms
    N Mani, M Pingale, R Shukla, R Pathak
    Adv. Fixed Point Theory 13, Article ID 29 , 2023
    2023.0
    Citations: 9
  • Applications of mathematical in computer science
    S Bhadane, M Kothawade, M Shinde, V Sulakhe
    International Journal for Research in Applied Science and Engineering … , 2023
    2023.0
    Citations: 3
  • Industrial Applications of Fourier Transform In Engineering Field
    N Chaudhari, A Lokhande, M Kothawade
    Data Analytics and Artificial Intelligence 1, 14-19 , 2022
    2022.0
  • Fixed point theorems in fuzzy b-metric spaces using two different t-norms, Adv. Fixed Point Theory, 13 (2023), 29
    N Mani, M Pingale, R Shukla, R Pathak
    Citations: 5
  • Investigation of Deviations from Classical Metric Space
    M Pingale, F Shaikh
  • The Development of Contraction Mappings in Metric Space Referencing
    MS Pingale
    JOURNAL OF TECHNICAL EDUCATION, 1 , 0
  • Fourier Transform And Its Application In Modulation Techniques
    MSN Thakur, MMK Kothawade
  • APPLICATIONS OF LAPLACE TRANSFORMATION IN MECHANICAL ENGINEERING
    S Samah, MMK Kothawade, MD Shinde, A Maheshwari

MOST CITED SCHOLAR PUBLICATIONS

  • Fixed Point Theory in Extended Parametric S b -Metric Spaces and Its Applications
    N Mani, S Beniwal, R Shukla, M Pingale
    Symmetry 15 (12), 2136 , 2023
    2023.0
    Citations: 10
  • Fixed point theorems in fuzzy b-metric spaces using two different t-norms
    N Mani, M Pingale, R Shukla, R Pathak
    Adv. Fixed Point Theory 13, Article ID 29 , 2023
    2023.0
    Citations: 9
  • Fixed point theorems in fuzzy b-metric spaces using two different t-norms, Adv. Fixed Point Theory, 13 (2023), 29
    N Mani, M Pingale, R Shukla, R Pathak
    Citations: 5
  • On pair of compatible mappings and coincidence point theorems in b-metric spaces
    N Mani, M Pingale, R Shukla
    International Journal of Analysis and Applications 22, 176-176 , 2024
    2024.0
    Citations: 4
  • Applications of mathematical in computer science
    S Bhadane, M Kothawade, M Shinde, V Sulakhe
    International Journal for Research in Applied Science and Engineering … , 2023
    2023.0
    Citations: 3
  • Study of Fixed Point Theorems UsingC-Class Function in Partially Ordered b-Metric Spaces
    M Pingale, R Patha, R Shukla, N Mani
    J. Interdiscip. Math 27, 1765-1771 , 2024
    2024.0
    Citations: 2
  • FIXED POINTS THEOREMS FOR GENERALIZED Cψ β-RATIONAL CONTRACTION MAPPING IN RELATIONAL METRIC SPACE
    A ANJANA, N MANI, A SHARMA, M PINGALE
    Journal of Interdisciplinary Mathematics 27 (8), 1787-1795 , 2024
    2024.0
    Citations: 1
  • Fixed Point Results Comprising with Modular Metric Space and Modular b-Metric Space Using Integral Type
    MS Pingale, RP Pathak, R Bhardwaj
    Advances in Algebra Analysis and Topology, 98-107 , 2024
    2024.0
  • COMMON FIXED POINTS RESULTS SATISFYING (ψ, φ)-WEAK CONTRACTION IN PARTIALLY ORDERED b-METRIC SPACES
    M PINGALE, R PATHAK, N MANI
    Bull. Cal. Math. Soc 116 (2), 243-256 , 2024
    2024.0
  • Common Fixed Points Theorems in Partially Ordered b-Metric Spaces
    MS Pingale, NK Mani
    2024.0
  • COMMON FIXED POINTS RESULTS SATISFYING (ψ, φ)-WEAK CONTRACTION IN PARTIALLY ORDERED b-METRIC SPACES
    RPANDNM MEGHA PINGALE
    Journal of the Calcutta Mathematical Society, 20 (1), 14 , 2024
    2024.0
  • Common fixed-point theorems for four maps using b–EA property
    M Pingale, R Pathak, A Sharma, K Kumar, N Mani
    AIP Conference Proceedings 2735 (1), 040013 , 2023
    2023.0
  • Industrial Applications of Fourier Transform In Engineering Field
    N Chaudhari, A Lokhande, M Kothawade
    Data Analytics and Artificial Intelligence 1, 14-19 , 2022
    2022.0
  • Investigation of Deviations from Classical Metric Space
    M Pingale, F Shaikh
  • The Development of Contraction Mappings in Metric Space Referencing
    MS Pingale
    JOURNAL OF TECHNICAL EDUCATION, 1 , 0
  • Fourier Transform And Its Application In Modulation Techniques
    MSN Thakur, MMK Kothawade
  • APPLICATIONS OF LAPLACE TRANSFORMATION IN MECHANICAL ENGINEERING
    S Samah, MMK Kothawade, MD Shinde, A Maheshwari