scholarly journals UNIQUE COMMON FIXED POINTS FOR GENERALIZED CONTRACTIVE TYPE MAPPINGS IN $D_1$-SPACE

2016 ◽  
Vol 106 (2) ◽  
Author(s):  
Y. Wang ◽  
L. Zhong
Keyword(s):  
Fixed Points ◽  
Common Fixed Points ◽  
Contractive Type

Common Fixed Points of Contractive Type Mappings in a 2-Metric Space

1985 ◽  
Vol 124 (1) ◽  
pp. 341-355 ◽  
Author(s):  
A. Miczko ◽  
B. Palczewski
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Common Fixed Points ◽  
Contractive Type

scholarly journals Some Fixed and Periodic Points in Abstract Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Abd Ghafur Bin Ahmad ◽  
Zaid Mohammed Fadail ◽  
Mujahid Abbas ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Periodic Points ◽  
Common Fixed Points ◽  
Contractive Type

We generalize in this paper some results on common fixed points of two, respectively four, contractive-type mappings in abstract metric spaces by removing condition of normality of the cone in their formulations. Further, some results about periodic points of self-maps are extended to the setting of abstract metric spaces.

scholarly journals Coincidence and fixed point results for non-commuting maps

2008 ◽  
Vol 39 (2) ◽  
pp. 105-110
Author(s):  
Abdul Latif ◽  
Saleh A. Al-Mezel
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Banach Spaces ◽  
Common Fixed Points ◽  
Contractive Type ◽  
Commuting Maps

In the setting of Banach spaces, some results on the existence of coincidence and common fixed points for single-valued and multivalued non-commuting maps with and without contractive type conditions are obtained.

scholarly journals On Some Common Approximate Fixed Point Theorems

2019 ◽  
Vol 27 (2) ◽  
pp. 23-34
Author(s):  
Kushal Roy ◽  
Mantu Saha
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Approximate Fixed Point ◽  
Contractive Type

AbstractIn the present paper we establish some theorems on the existence of common approximate fixed points for a pair of generalized contractive type mappings with the property that the diameter of the set of common ∈−fixed points is tending to zero as ∈ tends to zero.

scholarly journals Common fixed points of single-valued and multivalued maps

2005 ◽  
Vol 2005 (19) ◽  
pp. 3045-3055 ◽  
Author(s):  
Yicheng Liu ◽  
Jun Wu ◽  
Zhixiang Li
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Partial Answer ◽  
Multivalued Maps ◽  
Hybrid Pair ◽  
Common Fixed Point Theorems

We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra.

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].

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