On Fixed Point Theorems in Complete Metric Space

2019 ◽  
Vol 10 (7) ◽  
pp. 1419-1425
Author(s):  
Jayashree Patil ◽  
Basel Hardan
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space

scholarly journals Fixed point theorems for non-self maps I

1994 ◽  
Vol 17 (4) ◽  
pp. 713-716 ◽  
Author(s):  
Troy L. Hicks ◽  
Linda Marie Saliga
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Closed Subset ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Sufficient Conditions ◽  
General Setting ◽  
Necessary And Sufficient Conditions ◽  
Necessary And Sufficient

Supposef:C→XwhereCis a closed subset ofX. Necessary and sufficient conditions are given forfto have a fixed point. All results hold whenXis complete metric space. Several results hold in a much more general setting.

scholarly journals Coincidence point theorems for multivalued mappings

1993 ◽  
Vol 16 (1) ◽  
pp. 87-94 ◽  
Author(s):  
Shih-Sen Chang ◽  
Young-Cheng Peng
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Complete Metric Space ◽  
Multivalued Mappings

Some new coincidence point and fixed point theorems for multivalued mappings in complete metric space are proved. The results presented in this paper enrich and extend the corresponding results in [5-16, 20-25, 29].

scholarly journals Necessary and sufficient fixed point critera involving attractors

1993 ◽  
Vol 48 (1) ◽  
pp. 109-116
Author(s):  
Jacek Jachymski
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Positive Real ◽  
Necessary And Sufficient ◽  
Equivalent Conditions

Let f be a continuous self-map on a complete metric space X and p ∈ X. Let c be a positive real. Equivalent conditions are given for the singleton {p} to be an attractor of a set of c−fixed points of f. We also establish equivalent conditions for the existence of a contractive fixed point of f. These results subsume a body of fixed point theorems.

scholarly journals Some fixed point theorems for Hardy-Rogers type mappings

1984 ◽  
Vol 7 (1) ◽  
pp. 75-87 ◽  
Author(s):  
B. E. Rhoades ◽  
S. Sessa ◽  
M. S. Khan ◽  
M. D. Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
The Other

The first result establishes a fixed point theorem for three maps of a complete metric space. The contractive definition is a generalization of that of Hardy and Rogers, and the commuting condition of Jungck is replaced by the concept of weakly commuting. The other results are extensions of some theorems of Kannan.

scholarly journals Generalization of common fixed point theorems for weakly commuting maps by altering distances

2000 ◽  
Vol 31 (3) ◽  
pp. 243-250 ◽  
Author(s):  
K. P. R. Sastry ◽  
S. V. R. Naidu ◽  
G. V. R. Babu ◽  
G. A. Naidu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Commuting Maps ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

The main purpose of this paper is to obtain conditions for the existence of a unique common fixed point for four selfmaps on a complete metric space by altering distances between the points.

scholarly journals Fixed Point Theorems Concerning Hausdorff F-PGA Contraction in Complete Metric Space

2021 ◽  
Vol 1724 (1) ◽  
pp. 012030
Author(s):  
Pournima L. Powar ◽  
Akhilesh K. Pathak ◽  
Lakshmi Narayan Mishra ◽  
Rishabh Tiwari ◽  
Ramratan Kushwaha
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space

scholarly journals Fixed point theorems for rational type $F$-contraction

2021 ◽  
Vol 13 (1) ◽  
pp. 39-47
Author(s):  
Ö. Acar
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Integral Type ◽  
Type Mapping ◽  
Rational Type

In this paper, we consider rational type $F$-contraction for multivalued integral type mapping on a complete metric space. Using Wardowski’s technique, we establish the existence of a fixed point of the multivalued integral type mapping, if this mapping or the $F$-contraction is continuous. In the end, we give an example which shows that our result is the best.

scholarly journals Fixed point theorems for generalized nonexpansive mappings

1974 ◽  
Vol 18 (3) ◽  
pp. 265-276 ◽  
Author(s):  
Chi Song Wong
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Nonexpansive Mappings ◽  
Real Numbers ◽  
Image Position

Let S, T be self-mappings on a (non-empty) complete metric space (X, d). Let ai, i = 1, 2, …, 5, be non-negative real numbers such that < 1 and for any x, y in X,

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