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| Author | : Tuhin Bera |
| Publisher | : Infinite Study |
| Total Pages | : 21 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, the notion of neutrosophic soft metric space(NSMS) is introduced interms of neutrosophic soft points and several related properties, structural characteristics have been investigated. Then the convergence of sequence in neutrosophic soft metric space is defined and illustrated by examples.
| Author | : Tuhin Bera |
| Publisher | : Infinite Study |
| Total Pages | : 24 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, the notion of compact neutrosophic soft metric space is introduced. The concept of neutrosophic soft function and the composition of functions in a neutrosophic soft metric space along with suitable examples also have been brought. The continuity and uniform continuity of a neutrosophic soft function in this space have been defined and verified by proper examples. Several related properties, theorems and structural characteristics of these have been investigated here.
| Author | : G. Kalpana |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The main aim of this paper is to premise bipolar neutrosophic soft metric space (BNSMS) in terms of bipolar neutrosophic soft points. In addition, we define convergence of sequence, Cauchy sequence and completeness in BNSMS with appropriate examples. Further, we represent bipolar neutrosophic soft mappings using a Cartesian product with relations on bipolar neutrosophic soft sets and developed a fixed point theorem for self maps with contractive conditions using BNS mappings.
| Author | : Madad Khan |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In a wide spectrum of mathematical issues, the presence of a fixed point (FP) is equal to the presence of a appropriate map solution. Thus in several fields of math and science, the presence of a fixed point is important. Furthermore, an interesting field of mathematics has been the study of the existence and uniqueness of common fixed point (CFP) and coincidence points of mappings fulfilling the contractive conditions. Therefore, the existence of a FP is of significant importance in several fields of mathematics and science. Results of the FP, coincidence point (CP) contribute conditions under which maps have solutions.
| Author | : Tuhin Bera |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, the neutrosophic norm has been defined on a soft linear space which is hereafter called neutrosophic soft normed linear space (NSNLS). Several characteristics of sequences defined in this space have been investigated here. Moreover, the notion of convexity and the metric in NSNLS have been introduced and some of their properties are established.
| Author | : Necip ŞIMŞEK |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we introduce the neutrosophic cantractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.
| Author | : Tuhin Bera |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, the concept of connectedness and compactness on neutrosophic soft topological space have been introduced along with the investigation of their several characteristics. Some related theorems have been established also. Then, the notion of neutrosophic soft continuous mapping on a neutrosophic soft topological space and it’s properties are developed here.
| Author | : S Sowndrarajan |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : 2020-10-01 |
| Genre | : Mathematics |
| ISBN | : |
In this article, we present fixed and common fixed point results for Banach and Edelstein contraction theorems in neutrosophic metric spaces. Then some properties and examples are given for neutrosophic metric spaces. Thus, we added a new path in neutrosophic theory to obtain fixed point results. We investigate and prove some contraction theorems that are extended to neutrosophic metric space with the assistance of Grabiec.
| Author | : Wadei F. Al-Omeri |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The intention of this paper is to give the general de nition of cone metric space in the context of the neutrosophic theory. In this relation, we obtain some fundamental results concerting xed points for weakly compatible mapping.
| Author | : Memet Sahin |
| Publisher | : Infinite Study |
| Total Pages | : 7 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Neutrosphic triplet is a new theory in neutrosophy. In a neutrosophic triplet set, there is a neutral element and antielement for each element. In this study, the concept of neutrosophic triplet partial metric space (NTPMS) is given and the properties of NTPMS are studied. We show that both classical metric and neutrosophic triplet metric (NTM) are different from NTPM. Also, we show that NTPMS can be defined with each NTMS. Furthermore, we define a contraction for NTPMS and we give a fixed point theory (FPT) for NTPMS. The FPT has been revealed as a very powerful tool in the study of nonlinear phenomena. This study is also part of the “Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets” which is a special issue.
