COUPLED FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTIONS VIA C-CLASS FUNCTIONS

Author(s):

A.H.Ansari* , B. Moeini , I.Yildirim , A.M.Opread

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The main purpose of the paper is to extend some results of the coupled fixed point theorems, based on some previous works [15, 16], by using C-class functions. First part of the paper is related to some fixed point theorems, the second part presents the uniqueness and existence for the solution of the coupled fixed point problem and in the third part we discuss data dependence, well-posedness, Ulam-Hyers stability and limit shadowing property of the coupled fixed point set.

Keywords:

Fixed point , ordered metric space , rational type contraction , coupled fixed point , cclass functions , data dependence , well-posedness , Ulam-Hyers stability , limit shadowing property.2010 MSC: Primary 26A25 , Secondary 39B62 , 39B38

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:10 Issue: 1, Summer-Autumn 2019
Pages:
77 to 98
https://www.magiran.com/p2070665