Condensing mappings and applications to existence theorems for common solution of differential equations
Bull. Korean Math. Soc. 1999 Vol. 36, No. 3, 565-578
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