• Title/Summary/Keyword: Family convergence

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STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR A MODIFIED SYSTEM OF VARIATIONAL INEQUALITIES AND A FINITE FAMILY OF NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • JEONG, JAE UG
    • Korean Journal of Mathematics
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    • v.23 no.3
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    • pp.409-425
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    • 2015
  • In this paper, a new iterative scheme based on the extra-gradient-like method for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of modified variational inequalities in Banach spaces. A strong convergence theorem for this iterative scheme in Banach spaces is established. Our results extend recent results announced by many others.

AN IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF STRONGLY PSEUDOCONTRACTIVE MAPPINGS

  • Raflq, Arif;Lee, Byung-Soo
    • The Pure and Applied Mathematics
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    • v.16 no.3
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    • pp.307-314
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    • 2009
  • The purpose of this paper is to establish a strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of continuous strongly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of References [2, 6, 11-12].

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Strong Convergence Theorems for Common Points of a Finite Family of Accretive Operators

  • Jeong, Jae Ug;Kim, Soo Hwan
    • Kyungpook Mathematical Journal
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    • v.59 no.3
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    • pp.445-464
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    • 2019
  • In this paper, we propose a new iterative algorithm generated by a finite family of accretive operators in a q-uniformly smooth Banach space. We prove the strong convergence of the proposed iterative algorithm. The results presented in this paper are interesting extensions and improvements of known results of Qin et al. [Fixed Point Theory Appl. 2014(2014): 166], Kim and Xu [Nonlinear Anal. 61(2005), 51-60] and Benavides et al. [Math. Nachr. 248(2003), 62-71].

CONVERGENCE THEOREMS FOR TWO FAMILIES OF WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND A FAMILY OF EQUILIBRIUM PROBLEMS

  • Zhang, Xin;Su, Yongfu
    • Communications of the Korean Mathematical Society
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    • v.25 no.4
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    • pp.583-607
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    • 2010
  • The purpose of this paper is to prove strong convergence theorems for common fixed points of two families of weak relatively nonexpansive mappings and a family of equilibrium problems by a new monotone hybrid method in Banach spaces. Because the hybrid method presented in this paper is monotone, so that the method of the proof is different from the original one. We shall give an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping in Banach space $l^2$. Our results improve and extend the corresponding results announced in [W. Takahashi and K. Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory Appl. (2008), Article ID 528476, 11 pages; doi:10.1155/2008/528476] and [Y. Su, Z. Wang, and H. Xu, Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings, Nonlinear Anal. 71 (2009), no. 11, 5616?5628] and some other papers.

Analysis of Importance and Performance of Family Support for Special Education Children (특수교육 대상 아동 가족지원에 대한 중요도 및 실행도 분석)

  • Kim, Ki-Ryong
    • Journal of the Korea Convergence Society
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    • v.11 no.6
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    • pp.367-374
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    • 2020
  • This study was conducted to provide basic data for prioritization of family support services by examining the importance and performance of family support for parents of children with special education. To achieve the purpose of the study, a questionnaire survey was conducted with 220 parents of children from special education nationwide. As a result of the study, the importance of all 29 family support service items was rated high, but the performance level was low, and statistically significant differences were found. In addition, as a result of analysis of importance and performance, family support services related to physical and physical well-being and disability-related support were evaluated as high-priority, low-practice services, and it was a task that should be presented as a priority in family support services. On the other hand, it was found that family support services in the areas of family interaction support or emotional well-being were considered to be services that should be avoided due to their low importance but high performance. Based on the results of these studies, the direction for the operation of family support services for children with special education needs to be suggested in the future.

Optimization for Large-Scale n-ary Family Tree Visualization

  • Kyoungju, Min;Jeongyun, Cho;Manho, Jung;Hyangbae, Lee
    • Journal of information and communication convergence engineering
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    • v.21 no.1
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    • pp.54-61
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    • 2023
  • The family tree is one of the key elements of humanities classics research and is very important for accurately understanding people or families. In this paper, we introduce a method for automatically generating a family tree using information on interpersonal relationships (IIPR) from the Korean Classics Database (KCDB) and visualize interpersonal searches within a family tree using data-driven document JavaScript (d3.js). To date, researchers of humanities classics have wasted considerable time manually drawing family trees to understand people's influence relationships. An automatic family tree builder analyzes a database that visually expresses the desired family tree. Because a family tree contains a large amount of data, we analyze the performance and bottlenecks according to the amount of data for visualization and propose an optimal way to construct a family tree. To this end, we create an n-ary tree with fake data, visualize it, and analyze its performance using simulation results.

A Study on the Influence of Filial Piety on the Behavioral Intention of Family Tourism (효도관념이 가족관광 행위의도에 미치는 영향에 관한 연구)

  • Wang, Yue;Sim, Jae-yeon;Liao, Xuan
    • Journal of the Korea Convergence Society
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    • v.10 no.11
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    • pp.23-31
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    • 2019
  • With the advent of the era of mass tourism in China and people's yearning for a better life, the demand for family tourism is increasing. This paper adds the filial piety concept variable to the original model based on the theory of planned behavior (TPB). It tests the influence mechanism of attitude, subjective norm, perceived behavior control and filial piety on the intention of family tourism behavior. The results show that; Attitude and subjective norms have significant influence on the intention of family tourism behavior; Perceptual behavior control has no significant influence on the intention of family tourism behavior; Mutual filial piety has a significant impact on family tourism behavior and authoritative filial piety has no significant effect on family tourism decision-making behavior. This conclusion expands the application boundary of the theory of planned behavior in the study of family tourism behavior intentions, and provides application reference for tourists and tourism enterprises.

The Effect of University Students' Grit on Learning Satisfaction: The Mediating Effect of Family Strength (온라인 학습환경에서 대학생의 그릿이 학습만족도에 미치는 영향: 가족건강성의 매개효과)

  • Ryu, Hyunsook;Kim, Jiyoung
    • Journal of Convergence for Information Technology
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    • v.12 no.4
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    • pp.31-37
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    • 2022
  • The purpose of this study was to identify the effects of family strength as a parameter on the relationship between grit, and learning satisfaction of university students. The grit scale, family strength scale and learning satisfaction scale were applied to data from surveys conducted on 194 students recruited from a university in G gun, C province. This study examined the mediating effects of family strength in relation to grit and learning satisfaction using the hierarchical regression analysis. Results showed that family strength had partial mediating effects in the between grit and learning satisfaction. Therefore, it seems that grit directly and indirectly affect learning satisfaction through family strength. This result indicates that the importance of family strength for learning satisfaction and suggest that family strength should be included in developing learning satisfaction improvement programs.

Convergence Factors to Posttraumtic Growth in Female Urogenital Neoplasm Survivors (여성생식기 암 대상자의 외상 후 성장을 위한 융합적 관련 요인)

  • Kang, Hye-Kyung
    • Journal of the Korea Convergence Society
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    • v.8 no.10
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    • pp.115-124
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    • 2017
  • The purpose of the study was to investigate the convergence factors to posttraumatic growth(PTG) in survivors with female urogenital neoplasm survivors. A self-reported questionnaire was completed by 141 female urogenital neoplasm survivors via e-mail from September to October, 2016. The questionnaire consisted of PTG inventory, illness intrusiveness rating scale, cancer coping, family cohesion evaluation scale, and medical outcomes study social support survey. The data were analyzed by ANOVA, Pearson-correlation coefficient, and multiple regression analysis. Total score of PTG was 84.13points and statistically significant according to age, religion, marital status and positively associated with coping, family cohesion and social support. Results of the regression analysis showed religion(${\beta}=.127$), marital status(${\beta}=.081$), coping(${\beta}=.232$) and family cohesion(${\beta}=.415$), it were explained 44.7%. This study indicates that it is important to understand general characteristics of personal. And a convergent approach is needed to promote PTG by hospital and community.