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Several New Types of Fixed Point Theorems and Their Applications to Two-Point Ordinary Differential Equations

¹ School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, People’s Republic of China
² Department of Mathematics, Shawnee State University, Portsmouth, Ohio, USA
³ School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, People’s Republic of China
⁴ Department of Mathematics, Nanjing University, Nanjing, Jiangsu, People’s Republic of China

Applied Mathematics·Volume 03 (2012)·Pages 1109–1116·Published 11 October 2012·DOI10.4236/am.2012.310163

Abstract

The present paper is mainly concerned with several new types of fixed point theorems in different spaces such as cone metric spaces and fuzzy metric spaces. By using these obtained fixed point theorems, we then prove the existence and uniqueness of the solutions to two classes of two-point ordinary differential equation problems.

KeywordsExpansive MappingCone Metric SpaceFuzzy Metric SpaceTwo-Point Ordinary Differential Equations

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Several New Types of Fixed Point Theorems and Their Applications to Two-Point Ordinary Differential Equations

Abstract

References (16)