In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its Clarke-Rockafellar Su...In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its Clarke-Rockafellar Sub-differential. We extend the results on the characterizations of non-smooth convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the monotonicity of its sub-differentials to the lower semi-continuous pseudo-convex functions on real Banach spaces.展开更多
The purpose of this paper is to make a further study on the abstract economy. Here, for the constraint correspondences we assume that they are almost lower semi-continuous (n-lower semi-continuous), which is weaken th...The purpose of this paper is to make a further study on the abstract economy. Here, for the constraint correspondences we assume that they are almost lower semi-continuous (n-lower semi-continuous), which is weaken than that they are lower semi-continuous. Several equilibria existence theorems are proved.展开更多
BACKGROUND We explored the genotype-phenotype correlation of the novel deletion 16p13.2p12.3 in an 8-year-old child with progressive total ophthalmoplegia,cervical dyskinesia,and lower limb weakness by comparing the p...BACKGROUND We explored the genotype-phenotype correlation of the novel deletion 16p13.2p12.3 in an 8-year-old child with progressive total ophthalmoplegia,cervical dyskinesia,and lower limb weakness by comparing the patient’s clinical features with previously reported data on adjacent copy number variation(CNV)regions.CASE SUMMARY Specifically,we first performed whole-exome sequencing,CNV-sequencing,and mitochondrial genome sequencing on the patient and his parents,then applied“MitoExome”(the entire mitochondrial genome and exons of nuclear genes encoding the mitochondrial proteome)analysis to screen for genetic mitochondrial diseases.We identified a de novo 7.23 Mb deletion,covering 16p13.2p12.3,by both whole-exome sequencing and CNV sequencing.We also detected 16p13.11 in the deleted region,which is the recurrent distinct region associated with neurodevelopmental disorder.However,the patient only displayed features of progressive total ophthalmoplegia,cervical dyskinesia,and weakness in his lower limbs without neurodevelopmental disorder.The“MitoExome”sequencing was negative.Brain magnetic resonance imaging revealed non-specific sporadic changes in the occipital parietal lobe and basal ganglia.CONCLUSION Taken together,these results indicated that 16p13.2p12.3 deletion causes a syndrome with the phenotype of early-onset total ophthalmoplegia.The“MitoExome”analysis is powerful for the differential diagnosis of mitochondrial diseases.We report a novel copy number variant in this case,but further confirmation is required.展开更多
In this paper, using the context of complete partial metric spaces, some common fixed point results of maps that satisfy the generalized （ψ, Ф）-weak contractive conditions are obtained. Our results generalize, ext...In this paper, using the context of complete partial metric spaces, some common fixed point results of maps that satisfy the generalized （ψ, Ф）-weak contractive conditions are obtained. Our results generalize, extend, unify, enrich and complement many existing results in the literature. Example are given showing the validaty of our results.展开更多
We report a 50-year-old woman who developed localized proximal muscle weakness, in addition to transient elevation of antibodies to GM-1 ganglioside, without multifocal conduction block. She was treated with intraveno...We report a 50-year-old woman who developed localized proximal muscle weakness, in addition to transient elevation of antibodies to GM-1 ganglioside, without multifocal conduction block. She was treated with intravenous immunoglobulin (IVIg) and steroid pulse therapy, which were effective for over 10 years. Her clinical course and laboratory tests were consistent with lower motor neuron syndrome (LMNS) with localized proximal muscle weakness. We suggest that some patients diagnosed as LMNS may remain responsive to IVIg or steroid pulse therapy for a long time.展开更多
In this paper, we study the regularization methods to approximate the solutions of the variational inequalities with monotone hemi-continuous operator having perturbed operators arbitrary. Detail, we shall study regul...In this paper, we study the regularization methods to approximate the solutions of the variational inequalities with monotone hemi-continuous operator having perturbed operators arbitrary. Detail, we shall study regularization methods to approximate solutions of following variational inequalities: and with operator A being monotone hemi-continuous form real Banach reflexive X into its dual space X*, but instead of knowing the exact data (y<sub>0</sub>, A), we only know its approximate data satisfying certain specified conditions and D is a nonempty convex closed subset of X;the real function f defined on X is assumed to be lower semi-continuous, convex and is not identical to infinity. At the same time, we will evaluate the convergence rate of the approximate solution. The regularization methods here are different from the previous ones.展开更多
文摘In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its Clarke-Rockafellar Sub-differential. We extend the results on the characterizations of non-smooth convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the monotonicity of its sub-differentials to the lower semi-continuous pseudo-convex functions on real Banach spaces.
文摘The purpose of this paper is to make a further study on the abstract economy. Here, for the constraint correspondences we assume that they are almost lower semi-continuous (n-lower semi-continuous), which is weaken than that they are lower semi-continuous. Several equilibria existence theorems are proved.
文摘BACKGROUND We explored the genotype-phenotype correlation of the novel deletion 16p13.2p12.3 in an 8-year-old child with progressive total ophthalmoplegia,cervical dyskinesia,and lower limb weakness by comparing the patient’s clinical features with previously reported data on adjacent copy number variation(CNV)regions.CASE SUMMARY Specifically,we first performed whole-exome sequencing,CNV-sequencing,and mitochondrial genome sequencing on the patient and his parents,then applied“MitoExome”(the entire mitochondrial genome and exons of nuclear genes encoding the mitochondrial proteome)analysis to screen for genetic mitochondrial diseases.We identified a de novo 7.23 Mb deletion,covering 16p13.2p12.3,by both whole-exome sequencing and CNV sequencing.We also detected 16p13.11 in the deleted region,which is the recurrent distinct region associated with neurodevelopmental disorder.However,the patient only displayed features of progressive total ophthalmoplegia,cervical dyskinesia,and weakness in his lower limbs without neurodevelopmental disorder.The“MitoExome”sequencing was negative.Brain magnetic resonance imaging revealed non-specific sporadic changes in the occipital parietal lobe and basal ganglia.CONCLUSION Taken together,these results indicated that 16p13.2p12.3 deletion causes a syndrome with the phenotype of early-onset total ophthalmoplegia.The“MitoExome”analysis is powerful for the differential diagnosis of mitochondrial diseases.We report a novel copy number variant in this case,but further confirmation is required.
文摘In this paper, using the context of complete partial metric spaces, some common fixed point results of maps that satisfy the generalized （ψ, Ф）-weak contractive conditions are obtained. Our results generalize, extend, unify, enrich and complement many existing results in the literature. Example are given showing the validaty of our results.
文摘We report a 50-year-old woman who developed localized proximal muscle weakness, in addition to transient elevation of antibodies to GM-1 ganglioside, without multifocal conduction block. She was treated with intravenous immunoglobulin (IVIg) and steroid pulse therapy, which were effective for over 10 years. Her clinical course and laboratory tests were consistent with lower motor neuron syndrome (LMNS) with localized proximal muscle weakness. We suggest that some patients diagnosed as LMNS may remain responsive to IVIg or steroid pulse therapy for a long time.
文摘In this paper, we study the regularization methods to approximate the solutions of the variational inequalities with monotone hemi-continuous operator having perturbed operators arbitrary. Detail, we shall study regularization methods to approximate solutions of following variational inequalities: and with operator A being monotone hemi-continuous form real Banach reflexive X into its dual space X*, but instead of knowing the exact data (y<sub>0</sub>, A), we only know its approximate data satisfying certain specified conditions and D is a nonempty convex closed subset of X;the real function f defined on X is assumed to be lower semi-continuous, convex and is not identical to infinity. At the same time, we will evaluate the convergence rate of the approximate solution. The regularization methods here are different from the previous ones.
