scholarly journals Random fixed point under contractive condition of integral type

2021 ◽  
Vol 1897 (1) ◽  
pp. 012035
Author(s):  
Sabah Hassan Malih
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.


2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Maryam Beygmohammadi ◽  
Abdolrahman Razani

First we prove existence of a fixed point for mappings defined on a complete modular space satisfying a general contractive inequality of integral type. Then we generalize fixed-point theorem for a quasicontraction mapping given by Khamsi (2008) and Ciric (1974).


2016 ◽  
Vol 14 (1) ◽  
pp. 167-180 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Wutiphol Sintunavarat

AbstractThe aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive inequality of integral type. Many fixed point results for multi-valued mappings in metric spaces endowed with an arbitrary binary relation and metric spaces endowed with graph are given here to illustrate the results in this paper.


2005 ◽  
Vol 2005 (15) ◽  
pp. 2359-2364 ◽  
Author(s):  
P. Vijayaraju ◽  
B. E. Rhoades ◽  
R. Mohanraj

We give a general condition which enables one to easily establish fixed point theorems for a pair of maps satisfying a contractive inequality of integral type.


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