Author: Wadei F. Al-Omeri Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 16
Book Description
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: Wadei F. Al-Omeri Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 8
Book Description
In this manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of (Φ,Ψ)-weak contraction is defined in the neutrosophic cone metric space by using the idea of altering distance function. Finally, we review many examples of cone metric spaces to verify some properties.
Author: Necip ŞIMŞEK Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
In this paper, we introduce the neutrosophic cantractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.
Author: S Sowndrarajan Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 11
Book Description
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: Memet Sahin Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 7
Book Description
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.
Author: Memet Şahin Publisher: Infinite Study ISBN: Category : Languages : en Pages : 7
Book Description
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.
Author: G. Kalpana Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 9
Book Description
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: Murat Kirisci Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 11
Book Description
In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 410
Book Description
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 410
Book Description
Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.