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COMMON FIXED POINTS FOR TWO MAPPINGS WITH EXPANSIVE PROPERTIES ON COMPLEX VALUED METRIC SPACES
Yong-Jie Piao 충청수학회 2015 충청수학회지 Vol.28 No.1
In this paper, we use two mappings satisfying certain expansive conditions to construct convergent sequences in complex valued metric spaces, and then we prove that the limits of the convergent sequences are the points of coincidence or common fixed points for the two mappings. The main theorems in this paper are the generalizations and improvements of the corresponding results in real metric spaces, cone metric spaces and topological vector space-valued cone metric spaces.
COMMON FIXED POINTS FOR TWO MAPPINGS WITH EXPANSIVE PROPERTIES ON COMPLEX VALUED METRIC SPACES
Piao, Yong-Jie Chungcheong Mathematical Society 2015 충청수학회지 Vol.28 No.1
In this paper, we use two mappings satisfying certain expansive conditions to construct convergent sequences in complex valued metric spaces, and then we prove that the limits of the convergent sequences are the points of coincidence or common fixed points for the two mappings. The main theorems in this paper are the generalizations and improvements of the corresponding results in real metric spaces, cone metric spaces and topological vector space-valued cone metric spaces.
Yong-jie Piao 충청수학회 2012 충청수학회지 Vol.25 No.4
In this paper, we will consider some existence theorems of common ¯xed points for a countable family of non-self multi-valued mappings de¯ned on a closed subset of a complete metri-cally convex space, and give more generalized common ¯xed point theorems for a countable family of single-valued mappings. The main results in this paper generalize and improve many common¯xed point theorems for single valued or multi-valued mappings with contractive type conditions.
Hai-Lan Jin,Yong-jie Piao 충청수학회 2015 충청수학회지 Vol.28 No.3
A continuous and non-decreasing function ψ and another continuous function φ with φ(z) = 0 <=⇒ z = 0 defined on C + = {x + yi : x, y ≥ 0} are introduced, the ψ-φ-contractive or expansive type conditions are considered, and the existence theorems of common fixed points for two mappings defined on a complex valued metric space are obtained. Also, Banach contraction principle and a fixed point theorem for a I-expansive type mapping are given on complex valued metric spaces.
JIN, HAI-LAN,PIAO, YONG-JIE Chungcheong Mathematical Society 2015 충청수학회지 Vol.28 No.3
A continuous and non-decreasing function ${\psi}$ and another continuous function ${\phi}$ with ${\phi}(z)=0{\Leftrightarrow}z=0$ defined on $\mathbb{C}^+=\{x+yi:x,y{\geq}0\}$ are introduced, the ${\psi}-{\phi}$-contractive or expansive type conditions are considered, and the existence theorems of common fixed points for two mappings defined on a complex valued metric space are obtained. Also, Banach contraction principle and a fixed point theorem for a I-expansive type mapping are given on complex valued metric spaces.
UNIQUE POINT OF COINCIDENCE FOR TWO MAPPINGS WITH '- OR --CONTRACTIVE CONDITIONS ON 2-METRIC SPACES
Ming-Xing Xu,Xin Huang,Yong-jie Piao 충청수학회 2016 충청수학회지 Vol.29 No.3
We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying '-contractive con- ditions or --contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The ob- tained results generalize and improve many well-known and corre- sponding conclusions.
Xu, Ming-Xing,Huang, Xin,Piao, Yong-Jie Chungcheong Mathematical Society 2016 충청수학회지 Vol.29 No.3
We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ${\varphi}$-contractive conditions or ${\psi}$-${\phi}$-contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The obtained results generalize and improve many well-known and corresponding conclusions.
Ming-Xing Xu,Xin Huang,Yong-Jie Piao 충청수학회 2016 충청수학회지 Vol.29 No.3
We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ϕ-contractive conditions or ψ-φ-contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The ob-tained results generalize and improve many well-known and corre-sponding conclusions.
Nicotine exacerbates tacrolimus-induced renal injury by programmed cell death
( Yu Ji Jiang ),( Sheng Cui ),( Kang Luo ),( Jun Ding ),( Qi Yan Nan ),( Shang Guo Piao ),( Mei Ying Xuan ),( Hai Lan Zheng ),( Yong Jie Jin ),( Ji Zhe Jin ),( Jung Pyo Lee ),( Byung Ha Chung ),( Bum 대한내과학회 2021 The Korean Journal of Internal Medicine Vol.36 No.6
Background/Aims: Cigarette smoking is an important modifiable risk factor in kidney disease progression. However, the underlying mechanisms for this are lacking. This study aimed to assess whether nicotine (NIC), a major toxic component of cigarette smoking, would exacerbates tacrolimus (TAC)-induced renal in-jury. Methods: Sprague-Dawley rats were treated daily with NIC, TAC, or both drugs for 4 weeks. The influence of NIC on TAC-caused renal injury was examined via renal function, histopathology, oxidative stress, mitochondria, endoplasmic reticulum (ER) stress, and programmed cell death (apoptosis and autophagy). Results: Both NIC and TAC significantly impaired renal function and histopathology, while combined NIC and TAC treatment aggravated these parameters beyond the effects of either alone. Increased oxidative stress, ER stress, mitochondrial dysfunction, proinflammatory and profibrotic cytokine expressions, and programmed cell death from either NIC or TAC were also aggravated by the two combined. Conclusions: Our observations suggest that NIC exacerbates chronic TAC nephrotoxicity, implying that smoking cessation may be beneficial for transplant smokers taking TAC.