http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Fixed point theorems for asymptotically regular mappings in fuzzy metric spaces
Nilakshi Goswami,Bijoy Patir 강원경기수학회 2019 한국수학논문집 Vol.27 No.4
The aim of this paper is to extend some existing fixed point results for asymptotically regular mappings to fuzzy metric spaces. For this purpose some contractive type conditions with respect to an altering distance function are used. Some new common fixed point results have been derived for such mappings. We provide suitable examples to justify our study.
Goswami, Nilakshi,Patir, Bijoy The Kangwon-Kyungki Mathematical Society 2022 한국수학논문집 Vol.30 No.2
In this paper, we prove some fixed-point theorems in partially ordered fuzzy metric spaces for (𝜙, 𝜓, 𝛽)-Geraghty contraction type mappings which are generalization of mappings with Geraghty contraction type condition. Application of the derived results are shown in proving the existence of unique solution to some boundary value problems.
FIXED POINT THEOREMS IN FUZZY METRIC SPACES FOR MAPPINGS WITH SOME CONTRACTIVE TYPE CONDITIONS
Patir, Bijoy,Goswami, Nilakshi,Mishra, Lakshmi Narayan The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.2
In this paper, we derive some fixed point theorems in fuzzy metric spaces for self mappings satisfying different contractive type conditions. Some of these theorems generalize some results of Wairojjana et al. (Fixed Point Theory and Applications (2015) 2015:69). Several examples in support of the theorems are also presented here.
Some properties of bilinear mappings on the tensor product of $C^*$-algebras
Anamika Sarma,Nilakshi Goswami,Vishnu Narayan Mishra 강원경기수학회 2019 한국수학논문집 Vol.27 No.4
Let $\mathcal{A}$ and $\mathcal{B}$ be two unital $C^*$-algebras and $\mathcal{A}\otimes\mathcal{B}$ be their algebraic tensor product. For two bilinear maps on $\mathcal{A}$ and $\mathcal{B}$ with some specific conditions, we derive a bilinear map on $\mathcal{A}\otimes\mathcal{B}$ and study some characteristics. Considering two $\mathcal{A}\otimes\mathcal{B}$ bimodules, a centralizer is also obtained for $\mathcal{A}\otimes\mathcal{B}$ corresponding to the given bilinear maps on $\mathcal{A}$ and $\mathcal{B}$. A relationship between orthogonal complements of subspaces of $\mathcal{A}$ and $\mathcal{B}$ and their tensor product is also deduced with suitable example.
Haripada Das,Nilakshi Goswami 강원경기수학회 2024 한국수학논문집 Vol.32 No.2
In this paper, we prove some new fixed point results for expansive type mappings in complete dislocated quasi-metric space. A common fixed point result is also established considering such mappings. Suitable examples are provided to demonstrate our results. The solution to a system of Fredholm integral equations is also established to show the applicability of our results.