In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the...In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the concept of a bivariate Meir-Keleer condensing operator and prove some coupled fixed point theorems. As an application, we prove the existence of solutions for a large class of functional integral equations of Volterra type in two variables.展开更多
In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler con...In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler contraction:展开更多
This paper concerns N-order fixed point theory in partially ordered metric spaces. For the sake of simplicity, we start our investigations with the tripled case. We define tripled generalized Meir-Keeler type contract...This paper concerns N-order fixed point theory in partially ordered metric spaces. For the sake of simplicity, we start our investigations with the tripled case. We define tripled generalized Meir-Keeler type contraction which extends the definition of [Bessem Samet, Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces, Nonlinear Anal. 72 (2010), 4508-4517]. We then discuss the existence and uniqueness of tripled fixed point theorems in partially ordered metric spaces. For general cases, we generalized our results to the N-order case. The results will promote the study of N-order fixed point theory.展开更多
Objective:This study aimed to investigate the application of MEIR(Massage,Exercises,Intelligence training,and Rehabilitation training)in Chinese VLBW infants and to observe its effects on infants’growth and deve1opme...Objective:This study aimed to investigate the application of MEIR(Massage,Exercises,Intelligence training,and Rehabilitation training)in Chinese VLBW infants and to observe its effects on infants’growth and deve1opment.Methods:Clinical data of 92 VLBW infants who were treated at the neonatal intensive care unit(NICU)of Loudi Centra1 Hospital were retrospectively analyzed.The patients were grouped as the MEIRgroup(n=47)and controls(n=45).Physical and neurodevelopment deve1opment were compared between the two groups.Results:There were differences in height and weight and head circumference between the two groups at all corrected ages(all P<0.05).Abnormal motions,reflexes,muscular tension,audio-visual reactions,and posture,and the total numbers of abnormalities of 3-,6-,9-and 12-corrected month-old infants in the MElRgroup were 1ower than in the control group(all P<0.05).The mental development index and psychomotor development index of 6-and 12-corrected month infants in the MEIR group were higher than in the control group(all P<0.05).Conclusion:MEIR could improve the physical and neurological developments of VLBW infants,reduce the incidence of adverse events,and improve their growth and development.展开更多
In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and gener...In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces.展开更多
文摘In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the concept of a bivariate Meir-Keleer condensing operator and prove some coupled fixed point theorems. As an application, we prove the existence of solutions for a large class of functional integral equations of Volterra type in two variables.
基金supported by Università degli Studi di Padermo,Local Project R.S.ex 60\char37
文摘In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler contraction:
文摘This paper concerns N-order fixed point theory in partially ordered metric spaces. For the sake of simplicity, we start our investigations with the tripled case. We define tripled generalized Meir-Keeler type contraction which extends the definition of [Bessem Samet, Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces, Nonlinear Anal. 72 (2010), 4508-4517]. We then discuss the existence and uniqueness of tripled fixed point theorems in partially ordered metric spaces. For general cases, we generalized our results to the N-order case. The results will promote the study of N-order fixed point theory.
基金Loudi Science and Technology Project(Loucaiqizhi[2014]).
文摘Objective:This study aimed to investigate the application of MEIR(Massage,Exercises,Intelligence training,and Rehabilitation training)in Chinese VLBW infants and to observe its effects on infants’growth and deve1opment.Methods:Clinical data of 92 VLBW infants who were treated at the neonatal intensive care unit(NICU)of Loudi Centra1 Hospital were retrospectively analyzed.The patients were grouped as the MEIRgroup(n=47)and controls(n=45).Physical and neurodevelopment deve1opment were compared between the two groups.Results:There were differences in height and weight and head circumference between the two groups at all corrected ages(all P<0.05).Abnormal motions,reflexes,muscular tension,audio-visual reactions,and posture,and the total numbers of abnormalities of 3-,6-,9-and 12-corrected month-old infants in the MElRgroup were 1ower than in the control group(all P<0.05).The mental development index and psychomotor development index of 6-and 12-corrected month infants in the MEIR group were higher than in the control group(all P<0.05).Conclusion:MEIR could improve the physical and neurological developments of VLBW infants,reduce the incidence of adverse events,and improve their growth and development.
文摘In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces.