00. Faculty Publications: Recent submissions

  • STRONG CONVERGENCE OF A HYBRID METHOD FOR INFINITE FAMILY OF NONEXPANSIVE MAPPING AND VARIATIONAL INEQUALITY 
    Rathee, S.,; Swami, M. (Journal of the Indonesian Mathematical Society, 2021)
    The motivation behind this paper is to use hybrid method for searching a typical component of the set of fixed points of an infinite family of nonexpansive mappings and the set of monotone, Lipschtiz continuous variational ...
  • Quadruple g-best Proximity Point for New Contraction in Complete Metric Space 
    Rathee, S.; Swami, M. (EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022)
    The aim of this manuscript is to propose a contraction to pursue the existence of quadruple best proximity point results. The finding of this manuscript generalize and unify the results of Rohen and Mlaiki by using the new ...
  • Composite Weiner Hopf Equation with Variational Inequality and Equilibrium Problem 
    Rathee, S.; Swami, M (Communications in Mathematics and Applications, 2021)
    In this paper, we introduce an iteration based on composite Weiner-Hopf equation technique to find the common solution of the set of solution of composite generalized variational inequality, set of equilibrium problem and ...
  • CONVERGENCE RATE OF VARIOUS ITERATIONS WITH SM-ITERATION FOR CONTINUOUS FUNCTION 
    Rathee, S.; Swami, M. (J. Math. Comput. Sci., 2019)
    In the present paper, we propose a new iteration process named as SM-iteration and compare its rate of convergence with the already existing iterations such as CR, S, Abbas, Thakur for different type of functions with the ...
  • Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem 
    Rathee, S.; Swami, M. (AIMS Mathematics, 2022)
    The main aim of this manuscript is to work on the split equilibrium problem with the combined results of the fixed point problem and split variational inequality problem. This paper is an extension of the recent work of ...
  • BEST PROXIMITY POINTS FOR GF PROXIMAL CONTRACTION AND ITS APPLICATIONS TO VARIATIONAL INEQUALITY PROBLEM 
    Rathee, Savita; Monika; Mor, Prateek (International Review of Pure and Applied Mathematics, 2019)
    The main concept of this paper is to introduce the notion of GF and GF generalized proximal contraction and to establish the existence and uniqueness of best proximity point for nonself mapping satisfying these contractions ...
  • On Kasaj Generalized Closed Sets in Kasaj Topological Spaces 
    Rachchh, K. G.; Ghanchi, S. I.; Soneji, A. A. (Journal of Emerging Technologies and Innovative Research (JETIR), 2020)
    We introduced Kasaj topological spaces which is a partial extension of Micro topological space which is introduced by S. Chandrasekar. We also analyzed basic properties of some weak open sets in Kasaj topological spaces. ...
  • On Kasaj-b-open Sets and Kasaj-regular-open Sets in Kasaj Topological Spaces 
    . Rachchh, Kashyap G; Soneji, Asfak A.; Ghanchi, Sajeed I. (Journal of Emerging Technologies and Innovative Research (JETIR), 2020)
    Recently, We defined Kasaj-topological space and weak open sets namely Kasaj-pre-open sets, Kasaj-semi-open sets, Kasaj-alpha-open sets, Kasaj-beta-open sets in Kasaj topological spaces and analyzed their basic properties. ...
  • On Kasaj topological spaces 
    Rachchh, Kashyap G.; Ghanchi, Sajeed I. (Malaya Journal of Matematik, 2020)
    In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes of weak ...
  • A Study on Vertex Eccentricity Labeled Energy of a Graph 
    Gusai, S. L.; Kaneria, V. J.; Jadeja, M. R. (2024)
    Eccentricity, Vertex eccentricity labeled matrix, Vertex eccentricity labeled energy In this paper, we introduce the concept of vertex eccentricity labeled energy of a graph. We investigate the vertex eccentricity ...
  • TOTAL DOMINATING SETS AND TOTAL DOMINATION POLYNOMIAL OF WHEEL 
    Parmar, Anil D.; Jadeja, Manoharsinh R.; Vadhel, Harshad D. (R. R. Mehta College of Science & C. L. Parikh College of Commerce, Palanpur, 2024)
    For a graph with order then total domination polynomial where, is the number of total dominating sets of of cardinality . In this paper,I have obtained the total dominating sets and total domination polynomial of the ...
  • Congruent Domination Number of Graphs Obtained by Means of Some Graph Operation 
    Jadeja, M. R.; Vadhel, H. D.; Parmar, A. D. (Journal of Applied Science and Computations, 2023)
    A dominating set is said to be a congruent dominating set of a graph if . The minimum cardinality of a minimal congruent dominating set of is called the congruent domination number of which is denoted by . In this paper, ...
  • METRIC DIMENSION OF GRAPHS OBTAINED FROM COMMUTATIVE RING 
    VAID, Y.A.; JADE, . (Advances and Applications in Mathematical Sciences, 2022)
    For a connected graph of order n, the metric basis of a G is a smallest set {} k v vv S,,, 2 =1 of vertices of G such that for vertex, G u∈ the ordered k-tuples of are all distinct.distances {()()()()} k vud vud vud ...
  • Characteristic polynomials of some algebraic 
    Vaidya, S. K.; Jadeja, M. R. (Malaya Journal of Matematik, 2020)
    The zero divisor graph of a commutative ring is a graph whose vertices are non-zero zero divisors of and two vertices are adjacent if their product is zero. The characteristic polynomial of matrix is defined as and roots ...
  • About m-domination number of graphs 
    Thakkar, D. K.; Jamvecha, P. (Malaya Journal of Matematik, 2019)
    In this paper, we have defined the concept of m-dominating set in graphs. In order to define this concept we have used the notion of m-adjacent vertices. We have also defined the concepts of minimal m-dominating set, minimum ...
  • On m-independence in Graphs 
    Thakkar, D. K.; Jamvecha, Neha P. (Mathematical and Statistical Sciences, 2018)
    In this paper, we have defined the concepts of m-independent set, maximal m-independent set and maximum m-set. In order to define these concepts we have used the notion of m-adjacent vertices. Adjacent vertices are ...
  • On ve-quasi and secured ve-quasi independent sets of a graph 
    Thakkar, D. K.; Jamvecha, P. (Malaya Journal of Matematik, 2020)
    In this paper, we have defined the concepts of ve-quasi independent set and secured ve-quasi independent set. In order to define these concepts we have used the concept of a vertex which m-dominates an edge. We prove a ...
  • On total domination and total equitable domination in graphs 
    Vaidya, S. K.; Parmar, A. D. (Malaya Journal of Matematik, 2019)
    A dominating set D of a graph G is called total if every vertex of V (G) is adjacent to at least one vertex of D, equivalently if N(D) = V (G) then D is called total dominating set. A dominating set D is called total ...
  • Some More Results on Total Equitable Bondage Number of A Graph 
    Vaidya, S. K.; Parmar, A. D (Journal of Scientific Research, 2019)
    The bondage number of a nonempty graph is the minimum cardinality among all sets of edges for which. An equitable dominating set is called a total equitable dominating set if the induced subgraph has no isolated vertices. ...
  • INTERNATIONAL JOURNAL OF MATHEMATICAL COMBINATORICS EDITED 
    Mao, L. (International Journal of Mathematical Combinatorics, 2019)
    The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr.Linfan MAO on ...

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