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
  • [1] N-fixed point theorems for nonlinear contractions in partially ordered metric spaces
    Paknazar, Mohadeseh
    Gordji, Madjid Eshaghi
    De La Sen, Manuel
    Vaezpour, Seyed Mansour
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [2] A note on ‘N-fixed point theorems for nonlinear contractions in partially ordered metric spaces’
    Erdal Karapınar
    Antonio Roldán
    Concepción Roldán
    Juan Martínez-Moreno
    Fixed Point Theory and Applications, 2013
  • [3] A note on 'N-fixed point theorems for nonlinear contractions in partially ordered metric spaces'
    Karapinar, Erdal
    Roldan, Antonio
    Roldan, Concepcion
    Martinez-Moreno, Juan
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [4] Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
    Lakshmikantham, V.
    Ciric, Ljubomir
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) : 4341 - 4349
  • [5] QUADRUPLE FIXED POINT THEOREMS FOR NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED METRIC SPACES
    Karapinar, Erdal
    Berinde, Vasile
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2012, 6 (01): : 74 - 89
  • [6] Coupled Random Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces
    Ciric, Ljubomir
    Lakshmikantham, V.
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2009, 27 (06) : 1246 - 1259
  • [7] Fixed point theorems for almost contractions in partially ordered metric spaces
    Binayak S. Choudhury
    N. Metiya
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2012, 58 (1) : 21 - 36
  • [8] On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered G-Metric Spaces
    Mohiuddine, S. A.
    Alotaibi, Abdullah
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [9] Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces
    Aydi, Hassen
    Damjanovic, Bosko
    Samet, Bessem
    Shatanawi, Wasfi
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) : 2443 - 2450
  • [10] Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces
    Rao, N. Seshagiri
    Kalyani, Karusala
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2020, 13 (04): : 492 - 502
12345