Topological aspects of weighted graphs with application to fixed point theory

被引：2
|
作者：
Alfuraidan, M. R. [1 ]
机构：
[1] King Fand Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 314卷
关键词：
Convergence almost everywhere; Directed graph; Fixed point; Monotone sequence; Nonexpansive mapping; Weighted graph; L1;
D O I：
10.1016/j.amc.2017.06.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we introduce new concepts of G-monotone sequences, G-bounded and G(tau)-compact nonempty subsets of the set of vertices of a weighted digraph G, where tau is a sequential convergence. We also provide an application to metric fixed point theory. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：287 / 292
页数：6
相关论文
共 50 条
  • [1] Topological essentiality and fixed point theory
    Agarwal, RP
    O'Regan, D
    APPLIED MATHEMATICS LETTERS, 1999, 12 (07) : 5 - 10
  • [2] LEMMA ON MAPS OF A COMPACT TOPOLOGICAL SPACE AND AN APPLICATION TO FIXED POINT THEORY
    MARTELLI, M
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1970, 49 (05): : 242 - &
  • [3] Some aspects of fixed point theory
    P. V. Subrahmanyam
    Resonance, 2000, 5 (5) : 36 - 44
  • [4] Some aspects of Reidemeister fixed point theory, equivariant fixed point theory and coincidence theory
    L. D. Borsari
    F. Cardona
    D. L. Gonçalves
    São Paulo Journal of Mathematical Sciences, 2022, 16 : 508 - 538
  • [5] Some aspects of Reidemeister fixed point theory, equivariant fixed point theory and coincidence theory
    Borsari, L. D.
    Cardona, F.
    Goncalves, D. L.
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2022, 16 (01): : 508 - 538
  • [6] Topological fixed point theory and applications to variational inequalities
    Abdul Latif
    Hichem Ben-El-Mechaiekh
    Fixed Point Theory and Applications, 2015
  • [7] Topological fixed point theory and applications to variational inequalities
    Latif, Abdul
    Ben-El-Mechaiekh, Hichem
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [8] FIXED SET THEOREMS WITH APPLICATION TO THE FIXED POINT THEORY
    Fakhar, M.
    Soltani, Z.
    Zafarani, J.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (03) : 569 - 578
  • [9] ON TOPOLOGICAL POLYNOMIALS OF WEIGHTED GRAPHS
    Ghorbani, Modjtaba
    Hosseinzadeh, Mohammad A.
    Diudea, Mircea V.
    STUDIA UNIVERSITATIS BABES-BOLYAI CHEMIA, 2012, 57 (04): : 65 - 71
  • [10] Weighted topological index of graphs
    Raza, Zahid
    Rather, Bilal Ahmad
    Ghorbani, Modjtaba
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2024,
12345