Nonlinear cyclic weak contractions in G -metric spaces and applications to boundary value problems

Fixexd point theory and applications

Hemant Kumar Nashine^{1  2}  Zoran Golubović³ 

[1] Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Raipur, India;Faculty of Mathematics, University of Belgrade, Beograd, Serbia;Faculty of Mechanical Engineering, University of Belgrade, Beograd, Serbia

关键词: cyclic contraction;    fixed point;    G-metric space;    weakly contractive condition;    altering distance function;    boundary value problem;   

DOI  :  10.1186/1687-1812-2012-227

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We present fixed point theorems for nonlinear cyclic mappings under a generalized weakly contractive condition in G-metric spaces. We furnish examples to demonstrate the usage of the results and produce an application to second-order periodic boundary value problems for ODEs. MSC:47H10, 34B15.

【 授权许可】

CC BY