scholarly journals Common Fixed Point Theorem For Uniformly R-subweakly Commuting Mappings In Hausdorff Locally Convex Space

2013 ◽  
Vol 07 (03) ◽  
pp. 196-204
Author(s):  
H. Shojaei ◽  
S. Dehghani
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Convex Space ◽  
Locally Convex Space ◽  
Locally Convex ◽  
Common Fixed Point Theorem ◽  
Commuting Mappings

scholarly journals On some theorems of Tarafdar

1976 ◽  
Vol 15 (2) ◽  
pp. 213-221
Author(s):  
S.A. Husain ◽  
V.M. Sehgal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Vector Space ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Locally Convex ◽  
Common Fixed Point Theorem

In a recent paper (Bull. Austral. Math. Soc. 13 (1975), 241–245), Tarafdar has considered nonexpansive self mappings on a subset X of a locally convex vector space E and proved an extension to E of a theorem of Göhde. The purpose of this paper is to show that the condition f: X → X, in Göhde-Tarafdar's Theorem in the above paper, may be weakened to f: X → E with f(∂X) ⊆ X. As a consequence, it is further shown that an extension to E of a well-known common fixed point theorem of Belluce and Kirk due to Tarafdar remains true on domains that are not necessarily bounded or quasi-complete.

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.

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.

Sign in / Sign up

Export Citation Format

Share Document