Advances in Fixed Point Theory最新文献_第2页

An improvement of known unique common fixed point theorems for four mappings on multiplicative metric spaces 乘性度量空间上四个映射的已知唯一公共不动点定理的改进

Advances in Fixed Point Theory Pub Date : 2019-12-06 DOI: 10.28919/afpt/4088

Yongjie Piao

引用次数: 0

Periodic point and fixed point results for monotone mappings in complete ordered locally convex spaces with application to differential equations 完全有序局部凸空间单调映射的周期点和不动点结果及其在微分方程中的应用

Advances in Fixed Point Theory Pub Date : 2019-11-08 DOI: 10.28919/afpt/4185

Radouane Azennar, Fouad Ouzine, D. Mentagui

引用次数: 1

On β-admissible contraction and common fixed point theorems for L-fuzzy mappings 关于l -模糊映射的β容许收缩和公共不动点定理

Advances in Fixed Point Theory Pub Date : 2019-10-06 DOI: 10.28919/afpt/3926

M. Shagari

引用次数: 0

Affine localization for fixed points of Lipschitz quotient operators Lipschitz商算子不动点的仿射定位

Advances in Fixed Point Theory Pub Date : 2019-10-06 DOI: 10.28919/afpt/1805

X. Udo-utun

引用次数: 0

Ekeland’s variational principle and fixed point theorems in partial b-metric spaces 部分b-度量空间中的Ekeland变分原理和不动点定理

Advances in Fixed Point Theory Pub Date : 2019-09-16 DOI: 10.28919/afpt/4228

Juntao Xie, Yuqiang Feng, Xiao-Guang Lv

引用次数: 0

Fixed point theorems for cyclic contraction on b-metric spaces with wt-distance 具有wt-距离的b-度量空间上循环收缩的不动点定理

Advances in Fixed Point Theory Pub Date : 2019-09-15 DOI: 10.28919/afpt/4220

Meimei Song, Feiri Azi

引用次数: 0

Stability of fixed points for a discrete grazer-predator model and optimal controls for the environmental sustainability and bioeconomy 离散放牧-捕食模型不动点的稳定性及环境可持续性和生物经济的最优控制

Advances in Fixed Point Theory Pub Date : 2019-08-28 DOI: 10.28919/afpt/4213

Kanza Chouayakh, M. Rachik, K. Satori, C. Bekkali, Ilias Elmouki

{"title":"Stability of fixed points for a discrete grazer-predator model and optimal controls for the environmental sustainability and bioeconomy","authors":"Kanza Chouayakh, M. Rachik, K. Satori, C. Bekkali, Ilias Elmouki","doi":"10.28919/afpt/4213","DOIUrl":"https://doi.org/10.28919/afpt/4213","url":null,"abstract":"In this paper, we devise a discrete-time trophic-halieutic model in the form of three discrete equations which describe grazer-predator dynamics in the presence of a variable vegetation biomass. Further, we study the stability of the fixed points of the proposed system, and seek two optimal control approaches that are associated to the environmental sustainability and bioeconomic cases and aim to minimize two fishing efforts presented as discrete control functions applied to grazers and predators respectively. The first optimization approach aims to find an optimal control strategy which focuses more on the harvest of only one type of fishes rather than overfishing of both grazers and predators populations, while the second optimization approach aims to maximize the profits of fishermen. The two sought optimal fishing efforts are characterized based on a discrete version of Pontryagin’s maximum principle, while the two obtained two-point boundary value problems, are resolved based on discrete progressive-regressive iterative schemes which converge following a test related to the forward-backward sweep computational method.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127875771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mapping nearly continuous function by Newton-like operators in Baire's space 用类牛顿算子在Baire空间中映射近连续函数

Advances in Fixed Point Theory Pub Date : 2019-08-05 DOI: 10.28919/afpt/4050

S. E. Uwamusi

引用次数: 0

Orbital completeness and fixed points of (δ, k)−weak contractions (δ， k)−弱收缩的轨道完备性和不动点

Advances in Fixed Point Theory Pub Date : 2019-08-05 DOI: 10.28919/afpt/1744

X. Udo-utun

引用次数: 0

A new algorithm for variational inequality problems with alpha-inverse strongly monotone maps and common fixed points for a countable family of relatively weak nonexpansive maps, with applications 一类相对弱非扩张映射可数族的-逆强单调映射和公共不动点变分不等式问题的新算法及其应用

Advances in Fixed Point Theory Pub Date : 2019-08-05 DOI: 10.28919/afpt/3394

C. Chidume, Chinedu G. Ezea, E. Otubo

{"title":"A new algorithm for variational inequality problems with alpha-inverse strongly monotone maps and common fixed points for a countable family of relatively weak nonexpansive maps, with applications","authors":"C. Chidume, Chinedu G. Ezea, E. Otubo","doi":"10.28919/afpt/3394","DOIUrl":"https://doi.org/10.28919/afpt/3394","url":null,"abstract":"Let $E$ be a $2$-uniformly convex and uniformly smooth real Banach space with dual space $E^*$. Let $C$ be a nonempty closed and convex subset of $E.$ Let $A:Cto E^*$ and $T_i:Crightarrow E$, $i=1,2,cdots,$ be an $alpha$-inverse strongly monotone map and a {it countable family} of relatively weak nonexpansive maps, respectively. Assume that the intersection of the set of solutions of the variational inequality problem, $VI(C,A)$, and the set of common fixed points of ${T_i}_{i=1}^{infty}$, $cap_{i=1}^{infty}F(T_i)$, is nonempty. A generalized projection algorithm is constructed and proved to converge {it strongly} to some $x^*in VI(C,A)cap Big(cap_{i=1}^{infty}F(T_i)Big)$. Our theorem is a significant improvement of recent important results, in particular, the results of Zegeye and Shahzad (Nonlinear Anal. 70 (7) (2009), 2707-2716), Liu (Appl. Math. Mech. -Engl. Ed. 30 (7) (2009), 925-932), and Zhang {it et al.} (Appl. Math. and Informatics 29 (1-2) (2011), 87-102) and a host of other results. Finally, applications of our theorem to convex optimization problems, zeros of $alpha$-inverse strongly monotone maps and complementarity problems are presented.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115107606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1