scholarly journals Common Fixed Point Theorems for Conversely Commuting Mappings Using Implicit Relations

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Sunny Chauhan ◽  
Huma Sahper
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Menger Spaces ◽  
Common Fixed Point Theorems ◽  
Commuting Mappings

The object of this paper is to utilize the notion of conversely commuting mappings due to Lü (2002) and prove some common fixed point theorems in Menger spaces via implicit relations. We give some examples which demonstrate the validity of the hypotheses and degree of generality of our main results.

scholarly journals Common Fixed Point Theorems for Probabilistic Nearly Densifying Mappings

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Aeshah Hassan Zakri ◽  
Sumitra Dalal ◽  
Sunny Chauhan ◽  
Jelena Vujaković
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Menger Spaces ◽  
Common Fixed Point Theorems

The aim of this paper is to prove some coincidence and common fixed point theorems for probabilistic nearly densifying mappings in complete Menger spaces. Our results improve the results of Chamola et al. (1991), Dimri and Pant (2002), and Pant et al. (2004) and extend the results of Khan and Liu (1997) in the framework of probabilistic settings.

Common fixed point theorems for hybrid pair of mappings

Filomat ◽  
2017 ◽  
Vol 31 (10) ◽  
pp. 2975-2979
Author(s):  
P.C. Mathpal ◽  
L.K. Joshi ◽  
Mahesh Joshi ◽  
N. Chandra
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Type Condition ◽  
Hybrid Pair ◽  
Common Fixed Point Theorems ◽  
Commuting Mappings

In this paper we define the concept of conditionally commuting mappings and establish some common fixed point theorems for hybrid pair of mappings satisfying a nonexpansive type condition.

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