On best proximity points of interpolative proximal contractions

被引：16
|
作者：
Altun, Ishak [1 ,2 ]
Tasdemir, Aysenur [3 ]
机构：
[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Kirikkale Univ, Dept Math, Fac Sci & Arts, TR-71450 Yahsihan, Kirikkale, Turkey
来源：
QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 09期
关键词：
Primary; Secondary; Best proximity point; interpolative proximal contractions; fixed point; complete metric space; THEOREMS; EXTENSIONS; EXISTENCE;
D O I：
10.2989/16073606.2020.1785576
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ciric and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special cases we obtain some fixed point results for interpolative contractions. To support the theory, some examples are provided.
引用
收藏
页码：1233 / 1241
页数：9
相关论文
共 50 条
  • [21] ON A STUDY OF BEST PROXIMITY POINTS FOR R-PROXIMAL CONTRACTIONS IN GAUGE SPACES
    Ali, Muhammad Usman
    Farheen, Misbah
    Houmani, Hassan
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (01): : 151 - 160
  • [22] On best proximity points for various α-proximal contractions on metric-like spaces
    Aydi, Hassen
    Felhi, Abdelbasset
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (08): : 5202 - 5218
  • [23] On a study of best proximity points for R-proximal contractions in Gauge spaces
    Ali, Muhammad Usman
    Farheen, Misbah
    Houmani, Hassan
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2020, 82 (01): : 151 - 160
  • [24] Equivalence between the Existence of Best Proximity Points and Fixed Points for Some Classes of Proximal Contractions
    Som, Sumit
    Gabeleh, Moosa
    De la Sen, Manuel
    AXIOMS, 2022, 11 (09)
  • [25] Best proximity points of implicit relation type modified α3-proximal contractions
    Zabihi, Farzaneh
    Razani, Abdolrahman
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [26] Best proximity points for generalized proximal weak contractions in partially ordered metric spaces
    V. Pragadeeswarar
    M. Marudai
    Optimization Letters, 2015, 9 : 105 - 118
  • [27] Best proximity points for multi-valued Suzuki -F-proximal contractions
    Khammahawong, K.
    Kumam, P.
    Lee, D. M.
    Cho, Y. J.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 2847 - 2871
  • [28] Best proximity points for generalized proximal weak contractions in partially ordered metric spaces
    Pragadeeswarar, V.
    Marudai, M.
    OPTIMIZATION LETTERS, 2015, 9 (01) : 105 - 118
  • [29] Best proximity points of implicit relation type modified α3-proximal contractions
    Farzaneh Zabihi
    Abdolrahman Razani
    Journal of Inequalities and Applications, 2014
  • [30] BEST PROXIMITY POINTS FOR ASYMPTOTIC POINTWISE CONTRACTIONS
    Gabeleh, Moosa
    Lakzian, Hossein
    Shahzad, Naseer
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (01) : 83 - 93
12345