Common fixed points for R-weakly commuting mappings in fuzzy 2-metric spaces

2013 ◽  
Vol 8 ◽  
pp. 609-614
Author(s):  
Dinesh Singh Yadav ◽  
S. S. Thakur
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Weakly Commuting Mappings ◽  
Commuting Mappings

scholarly journals On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings inD-metric spaces

2003 ◽  
Vol 2003 (40) ◽  
pp. 2519-2539
Author(s):  
B. C. Dhage ◽  
A. Jennifer Asha ◽  
S. M. Kang
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Generalized Contraction ◽  
Contraction Condition ◽  
Common Fixed Point Theorems ◽  
Commuting Mappings

The present paper studies some common fixed-point theorems for pairs of a single-valued and a multivalued coincidentally commuting mappings inD-metric spaces satisfying a certain generalized contraction condition. Our result generalizes more than a dozen known fixed-point theorems inD-metric spaces including those of Dhage (2000) and Rhoades (1996).

Common Fixed Points of Commuting Mappings in 2-Metric Spaces and an Application

1980 ◽  
Vol 95 (1) ◽  
pp. 293-297 ◽  
Author(s):  
S. L. Singh ◽  
B. M. L. Tiwari ◽  
V. K. Gupta
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Commuting Mappings

scholarly journals Fixed points of quasi-nonexpansive mappings

1972 ◽  
Vol 13 (2) ◽  
pp. 167-170 ◽  
Author(s):  
W. G. Dotson
Keyword(s):  
Fixed Points ◽  
Banach Spaces ◽  
Linear Space ◽  
Complex Plane ◽  
Normed Linear Space ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
The Other ◽  
Commuting Mappings ◽  
Analytic Mappings

A self-mapping T of a subset C of a normed linear space is said to be non-expansive provided ║Tx — Ty║ ≦ ║x – y║ holds for all x, y ∈ C. There has been a number of recent results on common fixed points of commutative families of nonexpansive mappings in Banach spaces, for example see DeMarr [6], Browder [3], and Belluce and Kirk [1], [2]. There have also been several recent results concerning common fixed points of two commuting mappings, one of which satisfies some condition like nonexpansiveness while the other is only continuous, for example see DeMarr [5], Jungck [8], Singh [11], [12], and Cano [4]. These results, with the exception of Cano's, have been confined to mappings from the reals to the reals. Some recent results on common fixed points of commuting analytic mappings in the complex plane have also been obtained, for example see Singh [13] and Shields [10].

Sign in / Sign up

Export Citation Format

Share Document