Best Proximity Point Results in G-Metric Spaces

被引：9
|
作者：
Hussain, N. [2 ]
Latif, A. [2 ]
Salimi, P. [1 ,3 ]
机构：
[1] Islamic Azad Univ, Rasht Branch, Young Researchers & Elite Club, Rasht, Iran
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[3] Islamic Azad Univ, Rasht Branch, Young Researchers & Elite Club, Rasht, Iran
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
EXTENSIONS;
D O I：
10.1155/2014/837943
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings in G-metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] On the g-best proximity point results for G-generalized proximal contraction mappings in G-metric spaces
    Sahin, Aynur
    Basarir, Metin
    Khan, Safeer Hussain
    [J]. ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015), 2015, 1676
  • [2] FIXED POINT RESULTS ON COMPLETE G-METRIC SPACES
    Mustafa, Zead
    Khandagji, Mona
    Shatanawi, Wasfi
    [J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2011, 48 (03) : 304 - 319
  • [3] Further fixed point results on G-metric spaces
    Karapinar, Erdal
    Agarwal, Ravi P.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [4] Further fixed point results on G-metric spaces
    Erdal Karapınar
    Ravi P Agarwal
    [J]. Fixed Point Theory and Applications, 2013
  • [5] New results in G-best approximation in G-metric spaces
    Dehghan Nezhad A.
    Mazaheri H.
    [J]. Ukrainian Mathematical Journal, 2010, 62 (4) : 648 - 654
  • [6] NEW RESULTS IN G-BEST APPROXIMATION IN G-METRIC SPACES
    Nezhad, A. Dehghan
    Mazaheri, H.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2010, 62 (04) : 648 - 654
  • [7] Best Proximity Point Results in Generalized Metric Spaces
    Choudhury B.S.
    Maity P.
    [J]. Vietnam Journal of Mathematics, 2016, 44 (2) : 339 - 349
  • [8] Best Proximity Point Results in Generalized Metric Spaces
    Saleem, Naeem
    Abbas, Mujahid
    Farooq, Sadia
    [J]. THAI JOURNAL OF MATHEMATICS, 2022, 20 (02): : 589 - 603
  • [9] Best proximity point results in geodesic metric spaces
    Maryam A Alghamdi
    Mohammed A Alghamdi
    Naseer Shahzad
    [J]. Fixed Point Theory and Applications, 2012
  • [10] Best proximity point results in geodesic metric spaces
    Alghamdi, Maryam A.
    Alghamdi, Mohammed A.
    Shahzad, Naseer
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 12
12345