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The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education

  • Quarterly
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)

Domain

  • Education ＞ Natural science education

Aim & Scope

The journal PAM is a broad based journal covering all branches of pure and applied mathematics. The major areas, such as Algebra, Analysis, Geometry, Topology and Applied mathematics (Numerical Analysis, Mathematics for Information Sciences, Financial Mathematics and Economics, etc.) are all included. The journal PAM welcomes research papers of original work with high quality in all branches of mathematics. However, some expository articles related to current research issues with highest quality are requested to experts and accepted for publication. Original work with high quality is given primary emphasis.

http://www.jksmeb.org KSCI KCI

Volume 31 Issue 3

  1. A. Herminau Jothy;P. S. Srinivasan;R. Theivaraman 251
    https://doi.org/10.7468/jksmeb.2024.31.3.251 PDF
    The main aim of this article is to present new fixed point results concerning existence of selection for a multivalued map on hyperconvex product space taking values on bounded, externally hyperconvex subsets under some appropriate hypothesis. Our results are significant extensions of some pioneering results in the literature, in particular M. A. Khamsi, W. A. Krik and Carlos Martinez Yanez, have proved the existence of single valued selection of a lipschitzian multi-valued map on hyperconvex space. Some suitable examples are also given to support and understand the applicability of our results.
  2. Shivani Kukreti;Gopi Prasad;Ramesh Chandra Dimri 267
    https://doi.org/10.7468/jksmeb.2024.31.3.267 PDF
    Aim is to present fixed point theorems for contractive mappings in the settings of partial metric spaces equipped with graph. To substantiate the claims and importance of newly obtained fixed point results, we present an application and non-trivial examples. In the light of an application, we ensure the existence of a solution of the linear integral equation via fixed point results. In this way, we generalize, extend and modify some important recent fixed point results of the existing literature, that is, in the settings of partial metric spaces equipped with graph.
  3. Ghorban Khalilzadeh Ranjbar 283
    https://doi.org/10.7468/jksmeb.2024.31.3.283 PDF
    In this paper, by using fixed point techniques, we establish some common fixed point theorems for mappings satisfying an α-ψ-ϕ-contractive condition in generalized tripled metric space. Finally, we give an example to illustrate our main outcome.
  4. Sarmila Bhattacharyya;Tanmay Biswas;Chinmay Biswas 299
    https://doi.org/10.7468/jksmeb.2024.31.3.299 PDF
    The probabilistic metric space as one of the important generalizations of metric space, was introduced by Menger [16] in 1942. Later, Choi et al. [6] initiated the notion of bicomplex-valued metric spaces (bi-CVMS). Recently, Bhattacharyya et al. [3] linked the concept of bicomplex-valued metric spaces and menger spaces, and initiated menger space with bicomplex-valued metric. Here, in this paper, we have taken probabilistic metric space with bicomplex-valued metric, i.e., bicomplexvalued probabilistic metric space and proved some common fixed point theorems using converse commuting mappings in this space.
  5. Huseyin Budak;Umut Bas;Hasan Kara;Mohammad Esmael Samei 311
    https://doi.org/10.7468/jksmeb.2024.31.3.311 PDF
    This article presents the above and below bounds for Midpoint and Trapezoid types inequalities for 𝜓-Hilfer fractional integrals with the assistance of the functions whose second derivatives are bounded. We also possess some extensions and generalizations of Hermite-Hadamard inequalities via 𝜓-Hilfer fractional integrals with the aid of the functions that have the conditions that will said.
  6. Amrish Handa 325
    https://doi.org/10.7468/jksmeb.2024.31.3.325 PDF
    The main aim of this research article is to establish some coincidence point theorem for G-non-decreasing mappings under Geraghty-type contraction on partially ordered metric spaces. Furthermore, we derive some multidimensional results with the help of our unidimensional results. Our results improve and generalize various well-known results in the literature.
  7. Shilpa Rahurikar;Varsha Pathak;Satish Shukla 337
    https://doi.org/10.7468/jksmeb.2024.31.3.337 PDF
    In this paper, some best proximity points results for 𝜓-𝜙-contractions on complete metric spaces are proved. These results extend and generalize some best proximity and fixed point results on complete metric spaces. An example and some corollaries are provided that demonstrate the results proved herein.