Journal of Prime Research in Mathematics

Journal of Prime Research in Mathematics (JPRM) ISSN: 1817-3462 (Online) 1818-5495 (Print) is an HEC recognized, Scopus indexed, open access journal which provides a plate forum to the international community all over the world to publish their work in mathematical sciences. JPRM is very much focused on timely processed publications keeping in view the high frequency of upcoming new ideas and make those new ideas readily available to our readers from all over the world for free of cost. Starting from 2020, we publish one Volume each year containing two issues in June and December. The accepted papers will be published online immediate in the running issue. All issues will be gathered in one volume which will be published in December of every year.

Latest Published Articles

Open two-point Newton-Cotes integral inequalities for differentiable convex functions via Riemann-Liouville fractional integrals

JPRM-Vol. 19 (2023), Issue 2, pp. 24 – 36 Open Access Full-Text PDF
Hamida Ayed, Badreddine Meftah
Abstract: In this paper, some open two-point Newton-Cotes type integral inequalities for functions whose first derivatives are convex via Riemann-Liouville fractional integrals are established. Our finding generalize some already known results. In order to illustrate the efficiency of our main results, some applications are given.
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On f-Derivations in Residuated Lattices

JPRM-Vol. 19 (2023), Issue 2, pp. 17 – 23 Open Access Full-Text PDF
Mbarek Zaoui, Driss Gretete, Brahim Fahid
Abstract: In this paper, as a generalization of derivation in a residuated lattice, the notion of f-derivation for a residuated lattice is introduced and some related properties of isotone (resp. contractive) f-derivations and ideal f-derivations are investigated. Also, we define principal f-derivation and their properties. Finally, we define the notion of fixed point. In particular, as an application of ideal f-derivation in Heyting algebras, we obtain that the fixed point set is still a residuated lattice.
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Approximation of Fixed Point of Multivalued Mean Nonexpansive Mappings in CAT(0) spaces

JPRM-Vol. 19 (2023), Issue 2, pp. 1 – 16 Open Access Full-Text PDF
Mujahid Abbas, Khushdil Ahmad, Khurram Shabbir
Abstract: The aim of this paper is to present the convergence results to approximate the fixed points of multivalued mean nonexpansive mappings in CAT(0) spaces. Strong and ∆-convergence results are established for these mappings using F-iterative scheme. Moreover, a numerical example is given to show the convergence behavior of the iterative scheme for multivalued mean nonexpansive mappings. The results which we derived are generalization of many results existing in literature.
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On edge irregularity strength of certain families of snake graph

JPRM-Vol. 19 (2023), Issue 1, pp. 92 – 101 Open Access Full-Text PDF
Muhammad Faisal Nadeem, Murat Cancan, Muhammad Imran, Yasir Ali
Abstract: Edge irregular mapping or vertex mapping β : V (U) → {1, 2, 3, …, s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wtβ(cd) = β(c)+β(d), ∀c, d ∈ V (U) and cd ∈ E(U). Edge irregularity strength denoted by es(U) is a minimum positive integer used to label vertices to form edge irregular labeling. The aim of this paper is to determine the exact value of edge irregularity strength of different families of snake graph.
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Milnor Fibrations and Regularity Conditions for Real Analytic Mappings

JPRM-Vol. 19 (2023), Issue 1, pp. 82 – 91 Open Access Full-Text PDF
Khurram Shabbir
Abstract: When ƒ: \((\mathbb{R^n},0)\)→\((\mathbb{R^p},0)\)is a surjective real analytic map with isolated critical value, we prove that the(m)-regularity condition (in a sense we define) ensures that \(\frac{f}{||f||}\) is a fibration on small spheres, ƒ induces afibration on the tubes and these fibrations are equivalent.In particular, we make the statement of [12] more precise in the case of an isolated critical point and weextend it to the case of an isolated critical value.
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Group Distance Magic Labeling of Product of Graphs

JPRM-Vol. 19 (2023), Issue 1, pp. 73 – 81 Open Access Full-Text PDF
Wasim Ashraf, Hani Shaker
Abstract: A graph is a tool used to build the interconnection network that a system requires. Such networks inter-operability is ensured by specific labeling. There are several labelings in the literature, however the Group Distance Magic Labeling is better for graphs. A graph G is described as ℋ-distance magic graph if for an abelian group ℋ, there exist one-one mapping 𝓁 between group elements and vertex set of graph G such that ⅀ 𝓍 ∈ N(u) 𝓁(x) = µ for all uV, where µ is the magic constant belongs to abelian group ℋ and N(u) is u′s free neighborhood. In this article, we prove direct product of anti-prism graphs with nth order cycles are ℤ 2st, ℤ2×ℤst, ℤ3 × ℤ2t and ℤ3 × ℤst distance magic graphs.
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Volume 20 (2024)

Volume 19 (2023)

Volume 18 (2022)

Volume 17 (2021)

Volume 16 (2020)

Volume 15 (2019)

Volume 14 (2018)

Volume 13 (2017)

Volume 12 (2016)

Volume 11 (2015)

Volume 10 (2014)

Volume 09 (2013)

Volume 08 (2012)

Volume 07 (2011)

Volume 06 (2010)

Volume 05 (2009)

Volume 04 (2008)

Volume 03 (2007)

Volume 02 (2006)

Volume 01 (2005)