scholarly journals Common fixed point theorems for uniformly subcompatible mappings satisfying more general condition

2011 ◽  
Vol 42 (1) ◽  
pp. 9-17
Author(s):  
R. Sumitra ◽  
V. Rhymend Uthariaraj ◽  
P. Vijayaraju ◽  
R Hemavathy
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Convex Domain ◽  
General Condition ◽  
Best Approximation ◽  
Fixed Point Theorems ◽  
Type Condition ◽  
Approximation Result ◽  
Locally Convex ◽  
Common Fixed Point Theorems

We prove common fixed point theorems for uniformly subcompatible mappings satisfying a more generalized ciric type condition and a condition more general than gregus type condition in a locally convex domain. As an application, we have also established best  approximation result. Our results extend recent results existing in the literature.

scholarly journals Common fixed points under Lipschitz type condition

1970 ◽  
Vol 7 (1) ◽  
pp. 74-78
Author(s):  
Vyomesh Pant
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Key Words And Phrases ◽  
Type Condition ◽  
Type Mapping ◽  
Common Fixed Point Theorems ◽  
Weak Commutativity

The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved. Mathematics Subject Classification: 54 H 25. Key Words and Phrases: Lipschitz type mapping pairs, nonexpansive conditions, noncompatible mappings, Pointwise R-weak commutativity, contractive conditions. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5424 KUSET 2011; 7(1): 74-78

Common fixed point theorems for hybrid pair of mappings

Filomat ◽  
2017 ◽  
Vol 31 (10) ◽  
pp. 2975-2979
Author(s):  
P.C. Mathpal ◽  
L.K. Joshi ◽  
Mahesh Joshi ◽  
N. Chandra
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Type Condition ◽  
Hybrid Pair ◽  
Common Fixed Point Theorems ◽  
Commuting Mappings

In this paper we define the concept of conditionally commuting mappings and establish some common fixed point theorems for hybrid pair of mappings satisfying a nonexpansive type condition.

scholarly journals Common Fixed Point for Self-Mappings Satisfying an Implicit Lipschitz-Type Condition in Kaleva-Seikkala's Type Fuzzy Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Ming-Liang Song ◽  
Xiu-Juan Zhu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Function Class ◽  
Type Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type ◽  
Common Fixed Point Theorems

We first introduce the new real function classℱsatisfying an implicit Lipschitz-type condition. Then, by usingℱ-type real functions, some common fixed point theorems for a pair of self-mappings satisfying an implicit Lipschitz-type condition in fuzzy metric spaces (in the sense of Kaleva and Seikkala) are established. As applications, we obtain the corresponding common fixed point theorems in metric spaces. Also, some examples are given, which show that there exist mappings which satisfy the conditions in this paper but cannot satisfy the general contractive type conditions.

scholarly journals Fisher-Type Fixed Point Results in b-Metric Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 102 ◽  
Author(s):  
Badr Alqahtani ◽  
Andreea Fulga ◽  
Erdal Karapınar ◽  
Ali Özturk
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Type Condition ◽  
Contractive Type ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed-point theorems for two self-mappings in the context of a complete b-metric space by proposing a new contractive type condition. Further, we derive a result for three self-mappings in the same setting. We provide two examples to demonstrate the validity of the obtained results.

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