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Ratio Mathematica
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This is an Open Access Journal

Open Access journal
ISSN (Print) 1592-7415 - ISSN (Online) 2282-8214
Published by APAV

[2 journals]

Relation-Theoretic Contraction Principle In Metric Spaces Using
Multiplicative Contraction
- Authors: Radha Yadav, Balbir Singh
  Abstract: Alam and Imdad have presented a novel application of the Banach contraction principle on a complete metric spaces with a binary relation. We have extended the concept of binary relation with the multiplicative contraction in a complete metric spaces. We have also included corollary to demonstrate our results.
  PubDate: 2023-02-06
  DOI: 10.23755/rm.v47i0.730
  Issue No: Vol. 47 (2023)
Some Topological Properties Of Revised Fuzzy Cone Metric Spaces
- Authors: A Muraliraj, R Thangathamizh
  Abstract: In this paper, we introduced Revised fuzzy cone Metric space with its topological properties. Likewise A necessary and sufficient condition for a Revised fuzzy cone metric space to be precompact is given. We additionally show that each distinct Revised fuzzy cone metric space is second countable and that a subspace of a separable Revised fuzzy cone metric space is separable.
  PubDate: 2023-01-13
  DOI: 10.23755/rm.v47i0.734
  Issue No: Vol. 47 (2023)
Some fixed point results in fuzzy metric space using intimate mappings
- Authors: Vijayabaskerreddy Bonuga, Srinivas Veladi
  Abstract: The aim of this research paper is to prove the existence and uniqueness of common fixed point theorems for four self-mappings in fuzzy metric space using the notion of Intimate mappings. We also provide appropriate illustrations to justify the key points mentioned in the main results.
  PubDate: 2023-01-13
  DOI: 10.23755/rm.v47i0.823
  Issue No: Vol. 47 (2023)
Moduli of continuity of functions in Holder’s class by First kind
Chebyshev Wavelets and Its Applications in the Solution of Lane-Emden
Differential Equations
- Authors: Shyam Lal, Deepak Kumar Singh
  Abstract: In this paper , two new moduli of continuityand two estimators E2k−1,0 and,E2k−1,M of a functions f in H¨older’s class Hα,2ωk [0, 1) by First kind Chebyshev Wavelets have been determined. These moduli of continuity and estimators are new and best possible in wavelet analysis. Applying this technique ,Lane -Emden differential equations have been solved by first kind Chebyshev wavelet method.These solutions obtained by first kind Chebyshev wavelet method are approximately coincided with their exact solutions. This is a significant achievement of this research paper in wavelet analysis.
  PubDate: 2023-01-10
  DOI: 10.23755/rm.v47i0.794
  Issue No: Vol. 47 (2023)
Bi-amalgamated algebra with (n; p)-weakly clean like properties
- Authors: A Aruldoss, Selvaraj Chelliah
  Abstract: Let f : A −→ B and g : A −→ C be two ring homomorphisms and let K and K′ be two ideals of B and C, respectively such that f −1(K) = g−1(K′). In this paper, we give a characterization for the bi-amalgamation of A with (B, C) along (K, K′) with respect to (f, g) (denoted by A ▷◁f,g (K, K′)) to be a (n, p)-weakly clean ring.
  PubDate: 2023-01-10
  DOI: 10.23755/rm.v47i0.937
  Issue No: Vol. 47 (2023)
Elongation of Sets in Soft Lattice Topological Spaces
- Authors: Hari Siva Annam, Abinaya Thangamani
  Abstract: The aim of this paper, we investigate some Lattice sets such as soft lattice exterior, soft lattice interior, soft lattice boundary and soft lattice border sets in soft lattice topological spaces which are defined over a soft lattice L with a fixed set of parameter A and it is also a generalization of soft topological spaces. Further, we develop and continue the initial views of some soft lattice sets, which are deep-seated for further research on soft lattice topology and will consolidate the origin of the theory of soft topological spaces.
  PubDate: 2023-01-10
  DOI: 10.23755/rm.v47i0.838
  Issue No: Vol. 47 (2023)
Some fixed point results using (ψ, φ)-generalized almost weakly
contractive maps in S-metric spaces
- Authors: Venkatesh Duduka, Naga Raju Viswa
  Abstract: In this paper, we define $(\psi,\phi)$- generalized almost weakly contractive maps in S-metric spaces and prove an existence and uniqueness of a fixed point to such maps. We also given an example to support of our result.
  PubDate: 2023-01-10
  DOI: 10.23755/rm.v47i0.855
  Issue No: Vol. 47 (2023)
Equitable eccentric domination in graphs
- Authors: A Riyaz Ur Rehman, A Mohamed Ismayil
  Abstract: In this paper, we define equitable eccentric domination in graphs. An eccentric dominating set S ⊆ V (G) of a graph G(V, E) is called an equitable eccentric dominating set if for every v ∈ V − S there exist at least one vertex u ∈ V such that d(v) − d(u) ≤ 1 where vu ∈ E(G). We find equitable eccentric domination number γeqed(G) for most popular known graphs. Theorems related to γeqed(G) have been stated and proved.
  PubDate: 2023-01-10
  DOI: 10.23755/rm.v47i0.802
  Issue No: Vol. 47 (2023)
Square Sum And Square Difference Labelings Of Semitotal-block Graph For
Some Class Of Graphs
- Authors: Keerthi G. Mirajkar, Priyanka sthavarmath G. Hiremath
  Abstract: A graph G is said to be square sum and square difference labeling, if there exists a bijection f from V (G) to {1, 2, 3, ..., (p − 1)} which induces the injective function f ∗ from E(G) to N, defined by f ∗(uv) = f(u)2 + f(v)2 and f ∗(uv) = f(u)2 − f(v)2 respectively, for each uv ∈ E(G) and the resulting edges are distinctly labeled. G is said to be square sum and square difference graph, if it asdmits a square sum and square difference labeling respectively. The present work investigates, square sum and square difference labeling
  of semitotal-block graph for some class of graphs which are proved using number theory concept.
  PubDate: 2023-01-08
  DOI: 10.23755/rm.v47i0.804
  Issue No: Vol. 47 (2023)
A New Form Of Continuity In Fuzzy Soft Topological Spaces
- Authors: Sandhy G Venkatachala Rao, Anil P Narappanavar, P G Patil
  Abstract: The current work introduces a new class of fuzzy soft B continuous functions such as slightly b continuous, semi b continuous, pre b continuous functions and their relation withthe existing fuzzy soft continuous functions in fuzzy soft topological spaces. Further optimal definitions of totally b continuous functions have also been brought out in the paper. A new space such as fuzzy soft b compact space is also initiated.
  PubDate: 2023-01-02
  DOI: 10.23755/rm.v43i0.647
  Issue No: Vol. 47 (2023)
Common Fixed Point Theorem for Semi Compatible Mappings in Sm-metric Space
- Authors: Mallaiah Katta, Srinivas Veladi
  Abstract: In the present paper, at first, we study the structure of the newly Smmetric space, which is a union of S-metric space and multiplicative metric space with new contraction condition. We have proved a common fixed point theorem in Sm metric space by applying the concepts of the weakly compatible mappings, semi-compatible mappings, and reciprocally continuous mappings. This result generalizes and improves many common fixed point theorems in S-metric space and multiplicative metric space . Further, we also provide some examples to support our result.
  PubDate: 2023-01-02
  DOI: 10.23755/rm.v43i0.808
  Issue No: Vol. 46 (2023)

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