scholarly journals Impact of occasionally weakly compatible property on common fixed point theorems for expansive mappings

Filomat ◽  
2011 ◽  
Vol 25 (2) ◽  
pp. 79-89 ◽  
Author(s):  
M. Imdad ◽  
Javid Ali ◽  
V. Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Implicit Function ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

A general common fixed point theorem for two pairs of occasionally weak compatible expansive mappings satisfying a significantly enriched implicit function is proved in symmetric spaces which generalizes several previously known results. Some related results and illustrative examples are also discussed.

scholarly journals Unifying a multitude of common fixed point theorems in symmetric spaces

Filomat ◽  
2014 ◽  
Vol 28 (6) ◽  
pp. 1113-1132 ◽  
Author(s):  
Mohammad Imdad ◽  
Anupam Sharma ◽  
Sunny Chauhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Implicit Function ◽  
Compatible Mappings ◽  
Integral Type ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

The aim of this paper is to obtain some new common fixed point theorems for weakly compatible mappings in symmetric spaces satisfying an implicit function. Some illustrative examples to highlight the realized improvements are furnished. Our results generalize and extend some recent results contained in Ali and Imdad [Sarajevo J. Math. 4(17)(2008), 269-285] to symmetric spaces and consequently a host of metrical common fixed theorems are generalized and improved. We state an integral type fixed point theorem in symmetric space. In the process, we also derive a fixed point result on common fixed point in probabilistic symmetric spaces.

Common Fixed Point Theorems Using Compatible Mappings of Type (R) in Semi-metric Space

2020 ◽  
Vol 5 (5) ◽  
pp. 40-44
Author(s):  
Umesh Rajopadhyaya ◽  
K. Jha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.

scholarly journals More general common fixed point theorems under a new concept

2016 ◽  
Vol 49 (1) ◽  
Author(s):  
H. Bouhadjera
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Implicit Function ◽  
Continuous Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

AbstractA general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this result is thereby obtained. Our results assert the existence and uniqueness of common fixed points in several cases.

scholarly journals Common fixed point theorems in 2 non-Archimedean Menger PM-space

2001 ◽  
Vol 26 (8) ◽  
pp. 475-483
Author(s):  
Renu Chugh ◽  
Sumitra
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

We introduce the concept of a 2 non-Archimedean Menger PM-space and prove a common fixed point theorem for weak compatible mappings of type(A).

scholarly journals Common Fixed Point Theorems for a Rational Inequality in Complex Valued Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Pankaj Kumar ◽  
Manoj Kumar ◽  
Sanjay Kumar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complex Valued ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

We prove a common fixed point theorem for a pair of mappings. Also, we prove a common fixed point theorem for pairs of self-mappings along with weakly commuting property.

scholarly journals Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Jaauad Jeddi ◽  
Mustapha Kabil ◽  
Samih Lazaiz
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Modular Function ◽  
Function Spaces ◽  
Modular Function Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

The purpose of this work is to extend the Knaster–Tarski fixed-point theorem to the wider field of reflexive digraph. We give also a DeMarr-type common fixed-point theorem in this context. We then explore some interesting applications of the obtained results in modular function spaces.

FIXED POINT THEOREMS IN NON-ARCHIMEDEAN MENGER PM-SPACES USING COMMON PROPERTY (E.A)

2012 ◽  
Vol 05 (04) ◽  
pp. 1250050
Author(s):  
Sunny Chauhan ◽  
Suneel Kumar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Common Property ◽  
Fixed Point Theorems ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

In this paper, we prove common fixed point theorems for weakly compatible mappings in Non-Archimedean Menger PM-spaces employing common property (E.A). Some examples are derived which demonstrate the validity of our results. As an application to our main result, we present a fixed point theorem for four finite families of self mappings. Our results improve and extend several existing results in the literature.

scholarly journals A New Common Fixed-Point Theorem for Two Pairs of Mappings in Parametric Metric Space

2020 ◽  
pp. 87-105
Author(s):  
Anil Bakhru ◽  
Manoj Ughade ◽  
Richa Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Implicit Relation ◽  
Weakly Compatible ◽  
Frame Work ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

Our aim of this paper is to prove a new general common fixed point theorem for two pair of mappings under a different set of conditions using the idea of weakly compatible mappings satisfying a general class of contractions defined by an implicit relation in the frame work of parametric metric space, which unify, extend and generalize most of the existing relevant common fixed point theorems from the literature. Some related results and illustrative an example to highlight the realized improvements is also furnished.

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