TY - JOUR
T1 - Generalized Krasnoselskii fixed point theorem involving auxiliary functions in bimetric spaces and application to two-point boundary value problem
AU - Berzig, Maher
AU - Chandok, Sumit
AU - Khan, Mohammad Saeed
N1 - Publisher Copyright:
© 2014 Elsevier Inc. All rights reserved.
PY - 2014/12/1
Y1 - 2014/12/1
N2 - In this paper, we introduce a generalized contraction of Krasnoselskii-type using auxiliary functions, and obtained some sufficient conditions for existence and uniqueness of fixed point for such mappings on bimetric spaces. We also establish a result on coincidence point of two mappings, and derive several corollaries of our main theorems. As application, we establish an existence result for a two-point boundary value problem of second order differential equation.
AB - In this paper, we introduce a generalized contraction of Krasnoselskii-type using auxiliary functions, and obtained some sufficient conditions for existence and uniqueness of fixed point for such mappings on bimetric spaces. We also establish a result on coincidence point of two mappings, and derive several corollaries of our main theorems. As application, we establish an existence result for a two-point boundary value problem of second order differential equation.
KW - Bimetric space
KW - Coincidence point
KW - Fixed point
KW - Two-point boundary value problem
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U2 - 10.1016/j.amc.2014.09.096
DO - 10.1016/j.amc.2014.09.096
M3 - Article
AN - SCOPUS:84908367951
SN - 0096-3003
VL - 248
SP - 323
EP - 327
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -