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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.
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 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.
Candidate Gene Strategy Reveals ENAM Mutations
Kang, H.-Y.,Seymen, F.,Lee, S.-K.,Yildirim, M.,Bahar Tuna, E.,Patir, A.,Lee, K.-E.,Kim, J.-W. SAGE Publications 2009 Journal of dental research Vol.88 No.3
<P>Amelogenesis imperfecta (AI) is a genetically and phenotypically heterogeneous genetic disorder affecting tooth enamel without other non-oral syndromic conditions. Based on a review of the literature, the authors constructed a candidate-gene-based mutational analysis strategy. To test the strategy, they identified two Turkish families with hypoplastic enamel without any other non-oral syndromic phenotype. The authors analyzed all exons and exon/intron boundaries of the enamelin (<I>ENAM</I>) gene for family 1 and the <I>DLX3</I> and <I> ENAM</I> genes for family 2, to identify the underlying genetic etiology. The analysis revealed 2 <I>ENAM</I> mutations (autosomal-dominant g.14917delT and autosomal-recessive g.13185-13186insAG mutations). A single T deletion in exon 10 is a novel deletional mutation (g.14917delT, c.2991delT), which is predicted to result in a frameshift with a premature termination codon (p.L998fsX1062). This result supports the use of a candidate-gene-based strategy to study the genetic basis for AI.</P>