SOME NON-UNIQUE COMMON FIXED POINT THEOREMS FOR ĆIRIĆ-AKRAM-ZAFAR SIDDIQUI HYBRID TYPE MAPPINGS

2021 ◽  
Vol 16 (1) ◽  
pp. 33-65
Author(s):  
M. O. Olatinwo
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Hybrid Type ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

COMMON FIXED POINT THEOREM FOR TWO MAPPINGS IN bi-b-METRIC SPACE

2022 ◽  
Vol 11 (1) ◽  
pp. 25-34
Author(s):  
V.D. Borgaonkar ◽  
K.L. Bondar ◽  
S.M. Jogdand
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

In this paper we have used the concept of bi-metric space and intoduced the concept of bi-b-metric space. our objective is to obtain the common fixed point theorems for two mappings on two different b-metric spaces induced on same set X. In this paper we prove that on the set X two b-metrics are defined to form two different b-metric spaces and the two mappings defined on X have unique common fixed point.

scholarly journals A Unique Common Fixed Point for an Infinity of Set-Valued Maps

2018 ◽  
Vol 32 (1) ◽  
pp. 79-97
Author(s):  
Hakima Bouhadjera
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Spaces ◽  
Minimal Type ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

Abstract The main purpose of this paper is to establish some common fixed point theorems for single and set-valued maps in complete metric spaces, under contractive conditions by using minimal type commutativity and without continuity. These theorems generalize, extend and improve the result due to Elamrani and Mehdaoui ([2]) and others. Also, common fixed point theorems in metric spaces under strict contractive conditions are given.

scholarly journals Unique Common Fixed Point Theorems for Pairs of Hybrid Maps under a New Condition in Partial Metric Spaces

2014 ◽  
Vol 47 (3) ◽  
Author(s):  
K. P. R. Rao ◽  
K. R. K. Rao
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Partial Hausdorff Metric ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

AbstractIn this paper, we introduce a new condition namely, ‘condition (W.C.C)’ and obtain two unique common fixed point theorems for pairs of hybrid mappings on a partial Hausdorff metric space without using any continuity and commutativity of the mappings.

scholarly journals Fixed Point Results on Multiplicative Semi-Metric Space

2020 ◽  
Vol 12 (3) ◽  
pp. 341-348
Author(s):  
B. Vijayabaskerreddy ◽  
V. Srinivas
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Continuous Mappings ◽  
Common Fixed Point Theorems ◽  
Multiplicative Metric Space ◽  
Unique Common Fixed Point

  In this paper we introduce the notion of the Multiplicative Semi-Metric Space and proved common fixed point theorems. We establish fixed point theorems for four self-maps which can be extended to derive common fixed point theorems involving any finite number of mappings in Multiplicative Semi Metric Space. Further examples are discussed to show that compatible mappings of type-E, weakly compatible mappings and reciprocally-continuous mappings are weaker forms of compatible mappings and continuous mappings respectively. The main objective of this article is to prove the unique common fixed point theorems and employing the notion of the compatible mappings of type-E, reciprocally-continuous mappings in the Multiplicative Semi Metric Space. Our result generalizes the concept of Multiplicative Metric Space as it does not involve the multiplicative triangle inequality.

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 On unique common fixed point theorems for three and four self mappings

Filomat ◽  
2009 ◽  
Vol 23 (3) ◽  
pp. 115-123 ◽  
Author(s):  
H. Bouhadjera
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

In this contribution, two unique common fixed point theorems for three and four self mappings are given which improve and extend the results of Aage and Salunke [1] and others.

THE (CLR)-PROPERTY AND COMMON FIXED POINT THEOREMS IN b-METRIC SPACES

2021 ◽  
Vol 10 (6) ◽  
pp. 2821-2829
Author(s):  
J. Limprayoon ◽  
D. Kitkuan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

In this paper, we prove coincidence point for two pair of mappings satisfying (CLR)-property in b-metric spaces. Moreover, we also attain unique common fixed point for two weakly compatible pairs.

scholarly journals Weak compatibility and fixed point theorems for four self-maps inD-metric spaces

2005 ◽  
Vol 2005 (15) ◽  
pp. 2473-2489
Author(s):  
Bijendra Singh ◽  
Shobha Jain
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Coincident Point ◽  
Weak Compatibility ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

This paper establishes one common coincident point theorem and three unique common fixed point theorems for four self-maps inD-metric spaces, which improve and generalize, significantly, the results of Dhage et al. (2003), Dhage (1999), and Rhoades (2003) under weaker assumption using a more general contractive condition. An example, in support of these theorems, has also been constructed. All the results of this paper are new.

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