Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 1999; 36(3): 565-578

Printed September 1, 1999

Copyright © The Korean Mathematical Society.

Condensing mappings and applications to existence theorems for common solution of differential equations

B. C. Dhage

Abstract

In this paper some common fixed point theorems for pairs of condensing mappings in a Banach space are proved and applications are given to a pair of nonlinear first order ordinary differential equations in Banach spaces for proving the existence of common solution under suitable conditions.

Keywords: Banach space, condensing mapping, differential equation, existence theorem and common solution

MSC numbers: 47H10, 34A12