scholarly journals On some common fixed point results in Menger spaces

2021 ◽  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Menger Spaces

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.

scholarly journals (DS)-WEAK COMMUTATIVITY CONDITION AND COMMON FIXED POINT IN INTUITIONISTIC MENGER SPACES

2011 ◽  
Vol 18 (3) ◽  
pp. 201-217
Author(s):  
Sushil Sharma ◽  
Bhavana Deshpande ◽  
Suresh Chouhan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Menger Spaces ◽  
Weak Commutativity

scholarly journals Altering distances and a common fixed point theorem in Menger probabilistic metric spaces

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 175-181
Author(s):  
Sinisa Jesic ◽  
Natasa Cirovic ◽  
Donal O’Regan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Probabilistic Metric Spaces ◽  
Menger Spaces ◽  
Contractive Type ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorem

This paper presents a common fixed point theorem for two compatible self-mappings satisfying nonlinear contractive type condition defined using a ?-function. This result extends previous results due to B. S. Choudhury, K. Das, A new contraction principle in Menger spaces, Acta Mathematica Sinica 24 (2008) 1379-1386, and the result due to D. Mihe?, Altering distances in probabilistic Menger spaces, Nonlinear Analysis 71 (2009) 2734-2738.

scholarly journals Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property

2018 ◽  
Vol 16 (1) ◽  
pp. 1423-1434 ◽  
Author(s):  
Xiao-lan Liu ◽  
Mi Zhou ◽  
Lakshmi Narayan Mishra ◽  
Vishnu Narayan Mishra ◽  
Boško Damjanović
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Menger Spaces ◽  
Common Limit ◽  
The Common ◽  
Common Limit Range Property ◽  
Common Fixed Point Theorem

AbstractIn this paper, we study the existence and uniqueness of common fixed point of six self-mappings in Menger spaces by using the common limit range property (denoted by (CLRST)) of two pairs. Our results improve, extend, complement and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results.

scholarly journals Common fixed point theorems in Menger spaces

2006 ◽  
Vol 2006 ◽  
pp. 1-15
Author(s):  
Chi-Ming Chen ◽  
Tong-Huei Chang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Contractive Condition ◽  
Menger Space ◽  
Menger Spaces ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

We proved two common fixed point theorems for four self-mappings and two set-valued mappings withφ-contractive condition in a Menger space.

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