Generalized α-ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications

被引:107
|
作者
Karapinar, Erdal [1 ]
Samet, Bessem [2 ]
机构
[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
[2] King Saud Univ, Dept Math, Riyadh 11451, Saudi Arabia
关键词
PARTIALLY ORDERED SETS; METRIC-SPACES; EQUATIONS;
D O I
10.1155/2012/793486
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obtained results.
引用
收藏
页数:17
相关论文
共 50 条
  • [21] Fixed point theorems for generalized contractive mappings in metric spaces
    Proinov, Petko D.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (01)
  • [22] Fuzzy common fixed point theorems for generalized contractive mappings
    Abbas, M.
    Damjanovic, Bosko
    Lazovic, Rade
    APPLIED MATHEMATICS LETTERS, 2010, 23 (11) : 1326 - 1330
  • [23] SOME FIXED-POINT THEOREMS FOR GENERALIZED CONTRACTIVE MAPPINGS
    SINGH, KL
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (06): : A587 - A587
  • [24] Fixed point theorems for generalized contractive mappings in metric spaces
    Petko D. Proinov
    Journal of Fixed Point Theory and Applications, 2020, 22 (1)
  • [25] Fixed point theorems for α-contractive mappings of Meir-Keeler type and applications
    Berzig, Maher
    Rus, Mircea-Dan
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2014, 19 (02): : 178 - 198
  • [26] Common fixed point theorems for contractive type mappings and their applications in dynamic programming
    Liu, Zeqing
    Wang, Lili
    Kim, Hyeong Kug
    Kang, Shin Min
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (03) : 573 - 585
  • [27] Fixed point theorems for mappings satisfying contractive conditions of integral type and applications
    Liu, Zeqing
    Li, Xin
    Kang, Shin Min
    Cho, Sun Young
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 18
  • [28] Fixed point theorems for mappings satisfying contractive conditions of integral type and applications
    Zeqing Liu
    Xin Li
    Shin Min Kang
    Sun Young Cho
    Fixed Point Theory and Applications, 2011
  • [29] G-β-ψ contractive-type mappings and related fixed point theorems
    Maryam A Alghamdi
    Erdal Karapınar
    Journal of Inequalities and Applications, 2013
  • [30] G-β-ψ contractive-type mappings and related fixed point theorems
    Alghamdi, Maryam A.
    Karapinar, Erdal
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,