N-fixed point theorems for nonlinear contractions in partially ordered metric spaces

被引：0
|
作者：
Mohadeseh Paknazar
Madjid Eshaghi Gordji
Manuel De La Sen
Seyed Mansour Vaezpour
机构：
[1] Islamic Azad University,Department of Mathematics, Science and Research Branch
[2] Semnan University,Department of Mathematics
[3] University of Basque Country,Institute of Research and Development of Processes
[4] Amirkabir University of Technology,Departement of Mathematics and Computer Sciences
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
partially ordered set; fixed point; contractive mapping;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In present paper we introduce the concept of a new g-monotone mapping and define the notions of n-fixed point and n-coincidence point and prove some related theorems for nonlinear contractive mappings in partially ordered complete metric spaces. Our results are generalization of the main results of Lakshmikantham and Ćirić (Nonlinear Anal. 70:4341-4349, 2009) and include several recent developments. Moreover, we give an example to support our results.
引用
收藏
相关论文
共 50 条
  • [21] Coupled Fixed Point Theorems for Generalized Symmetric Contractions in Partially Ordered Metric Spaces and applications
    Jain, M.
    Tas, K.
    Rhoades, B. E.
    Gupta, N.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (03) : 438 - 454
  • [22] Unique fixed point theorems in partially ordered metric spaces
    Rao, N. Seshagiri
    Kalyani, K.
    HELIYON, 2020, 6 (11)
  • [23] Fixed point theorems in partially ordered metric spaces and applications
    Bhaskar, T. Gnana
    Lakshmikantham, V.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) : 1379 - 1393
  • [24] Random fixed point theorems in partially ordered metric spaces
    Nieto J.J.
    Ouahab A.
    Rodríguez-López R.
    Fixed Point Theory and Applications, 2016 (1)
  • [25] COUPLED FIXED POINT THEOREMS IN PARTIALLY ORDERED METRIC SPACES
    Nguyen Van Luong
    Nguyen Xuan Thuan
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (04): : 16 - 24
  • [26] Tripled fixed point theorems in partially ordered metric spaces
    Karapinar, Erdal
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2013, 58 (01): : 75 - 85
  • [27] Fixed point theorems in partially ordered complete metric spaces
    Li Zhilong
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 69 - 72
  • [28] Fixed point and coupled fixed point theorems for generalized cyclic weak contractions in partially ordered probabilistic metric spaces
    Zhu, Chuanxi
    Xu, Wenqing
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (06) : 1073 - 1085
  • [29] Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces
    Gopi, Raju
    Pragadeeswarar, Veerasamy
    Park, Choonkil
    Shin, Dong Yun
    AIMS MATHEMATICS, 2020, 5 (06): : 6913 - 6928
  • [30] COMMON FIXED POINT THEOREMS FOR MATKOWSKI-TYPE NONLINEAR CONTRACTIONS IN ORDERED METRIC SPACES
    Gubran, Rqeeb
    Khan, Idrees A.
    Imdad, Mohammad
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (03): : 34 - 47
12345