Approximate fixed points of generalized convex contractions

Fixexd point theory and applications

Mehdi Amir Miandaragh¹  Shahram Rezapour¹  Mihai Postolache² 

[1] Department of Mathematics, Azarbaijan University of Shahid Madani, Azarshahr, Tabriz, Iran;Department of Mathematics, University Politehnica of Bucharest, Bucharest, Romania

关键词: Real Number;    Base Mapping;    Main Idea;    Differential Geometry;    Similar Technique;   

DOI  :  10.1186/1687-1812-2013-255

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce the concept of generalized convex contractions and give some results about approximate fixed points of the contractions on metric spaces. By providing some examples, we show that our results are real generalization of the main results of Ghorbanian et al. (Comput. Math. Appl. 63:1361-1368, 2012) and Istratescu (I. Ann. Mat. Pura Appl. 130(4):89-104, 1982).

【 授权许可】

CC BY