A common fixed point theorem for non-self mappings in strictly convex menger PM-spaces

2020 ◽  
Vol 70 (6) ◽  
pp. 1367-1380
Author(s):  
Rale M. Nikolić ◽  
Vladimir T. Ristić ◽  
Nataša A. Ćirović
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Contractive Condition ◽  
Strictly Convex ◽  
Common Fixed Point Theorem ◽  
Commuting Mappings

AbstractIn this paper we prove existence and uniqueness of a common fixed point for non-self coincidentally commuting mappings with nonlinear, generalized contractive condition defined on strictly convex Menger PM-spaces proved.

scholarly journals A New Common Fixed Point Theorem for Three Commuting Mappings

Axioms ◽  
2020 ◽  
Vol 9 (3) ◽  
pp. 105
Author(s):  
Meryeme El Harrak ◽  
Ahmed Hajji
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Contractive Condition ◽  
Darbo’S Fixed Point Theorem ◽  
Common Fixed Point Theorem ◽  
Commuting Mappings

In the present paper, we propose a common fixed point theorem for three commuting mappings via a new contractive condition which generalizes fixed point theorems of Darbo, Hajji and Aghajani et al. An application is also given to illustrate our main result. Moreover, several consequences are derived, which are generalizations of Darbo’s fixed point theorem and a Hajji’s result.

scholarly journals Common fixed point theorem for four mappings satisfying generalized weak contractive condition

Filomat ◽  
2010 ◽  
Vol 24 (2) ◽  
pp. 1-10 ◽  
Author(s):  
Mujahid Abbas ◽  
Dragan Djoric
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theory ◽  
Applied Mathematics ◽  
Point Theory ◽  
Contractive Condition ◽  
Mathematics Subject Classifications ◽  
Common Fixed Point Theorem

Contractive conditions introduced in (Q. Zhang and Y. Song, Fixed point theory for generalized ?-weak contraction, Appl. Math. Lett. 22(2009), 75-78) and (D. Djoric, Common fixed point for generalized (?, ?)-weak contractions, Applied Mathematics Letters, 22(2009), 1896-1900) are employed to obtain a new common fixed point theorem for four maps. Our result substantially generalizes comparable results in the literature. 2010 Mathematics Subject Classifications. 47H10. .

scholarly journals A Common Fixed Point Theorem in Metric Space under General Contractive Condition

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sunny Chauhan ◽  
Zoran Kadelburg ◽  
Sumitra Dalal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Contractive Condition ◽  
Continuous Mappings ◽  
Common Fixed Point Theorem

We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007).

scholarly journals A common fixed point theorem in strictly convex Menger PM-spaces

Filomat ◽  
2014 ◽  
Vol 28 (4) ◽  
pp. 735-743 ◽  
Author(s):  
Sinisa Jesic ◽  
Rale Nikolic ◽  
Natasa Babacev
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Normal Structure ◽  
Strictly Convex ◽  
Common Fixed Point Theorem

In this paper we will define a notions of strictly convex and normal structure in Menger PM-space. Also, existence of a common fixed point for two self-mappings defined on strictly convex Menger PM-spaces will be proved. As a consequence of main result we will give probabilistic variant of Browder's result [3]. Projekat Ministarstva nauke Republike Srbije, br. 174032]

scholarly journals A Suzuki-type common fixed point theorem

Filomat ◽  
2017 ◽  
Vol 31 (10) ◽  
pp. 2951-2956
Author(s):  
N. Chandra ◽  
M.C. Arya ◽  
Mahesh Joshi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorem

In this paper we establish a common fixed point theorem for two maps under the generalized contractive condition in a complete metric spaces.

scholarly journals A common fixed point theorem using implicit relation and property (E.A) in metric spaces

Filomat ◽  
2007 ◽  
Vol 21 (2) ◽  
pp. 211-234 ◽  
Author(s):  
H. Pathak ◽  
Rosana Rodriguez-López ◽  
R.K. Verma
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Implicit Relation ◽  
Weak Compatibility ◽  
Common Fixed Point Theorem

In this paper, we prove a common fixed point theorem for a quadruple of mappings by using an implicit relation [6] and property (E.A) [1] under weak compatibility. Our theorem improves and generalizes the main Theorems of Popa [6] and Aamri and Moutawakil [1] .Various examples verify the importance of weak compatibility and property (E.A) in the existence of common fixed point and examples are also given to the implicit relation and to validate our main Theorem. We also show that property (E.A) and Meir-Keeler type contractive condition are independent to each other. .

scholarly journals Periodic and fixed point theorems in a quasi-metric space

1993 ◽  
Vol 54 (1) ◽  
pp. 80-85 ◽  
Author(s):  
Ljubomir Ćirić
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Contractive Condition ◽  
Common Fixed Point Theorem

AbstractGeneral periodic and fixed point theorems are proved for a class of self maps of a quasi-metric space which satisfy the contractive definition (A) below. Two examples are presented to show that the class of mappings which satisfy (A) is indeed wider than a class of selfmaps which satisfy Caristi's contractive definition (C) below. Also a common fixed point theorem for a pair of maps which satisfy a contractive condition (D) below is established.

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