scholarly journals Common fixed point theorems for Geraghty’s type contraction mappings using the monotone property with two metrics

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Juan Martínez-Moreno ◽  
Wutiphol Sintunavarat ◽  
Yeol Je Cho
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Contraction Mappings ◽  
Monotone Property ◽  
Common Fixed Point Theorems ◽  
Type Contraction

scholarly journals Some common fixed point theorems for Ciric type contraction mappings

2012 ◽  
Vol 43 (2) ◽  
pp. 187-202
Author(s):  
Sumit Chandok
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Invariant Approximation ◽  
Convex Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Type Contraction

Some common fixed point theorems for \'{C}iri\'{c} type contraction mappings have been obtained in convex metric spaces. As applications, invariant approximation results for these type of mappings are obtained. The proved results generalize, unify and extend some of the results of the literature.

scholarly journals On Coupled Common Fixed Point Theorems for Nonlinear Contractions with the Mixed Weakly Monotone Property in Partially OrderedS-Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Mi Zhou ◽  
Xiao-Lan Liu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Monotone Property ◽  
Coupled Common Fixed Point ◽  
Common Fixed Point Theorems ◽  
Nonlinear Contractions ◽  
Type Contraction

The main aim of this paper is to establish some coupled common fixed point theorems under a Geraghty-type contraction using mixed weakly monotone property in partially orderedS-metric space. Also, we give some sufficient conditions for the uniqueness of a coupled common fixed point. Some examples are provided to demonstrate the validity of our results.

scholarly journals COMMON FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTION IN PARTIALLY ORDERED METRIC SPACE

2015 ◽  
Vol 11 (5) ◽  
pp. 5266-5275
Author(s):  
Gopi Prasad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Ordered Metric Space ◽  
Partially Ordered Metric Space ◽  
Partially Ordered ◽  
Common Fixed Point Theorems ◽  
Rational Type ◽  
Type Contraction

In this paper we prove some common fixed point theorems for two and four self-mappings using rational type contraction and some newly notified definitions in partially ordered metric space. In this way we generalized, modify, and extend some recent results due to Chandok and Dinu [14], Shantanwi and Postolache[28] and many others [1, 2, 4, 5, 21, 29, 30], thus generalizing results of Cabrea, Harjani and Sadarangani [12] as well as Dass and Gupta [15]  in the context of partial order metric setting.

scholarly journals Common Fixed Point and Coupled Coincidence Point Theorems for Geraghty’s Type Contraction Mapping with Two Metrics Endowed with a Directed Graph

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
P. Charoensawan ◽  
W. Atiponrat
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Directed Graph ◽  
Fixed Point Theorems ◽  
Coincidence Points ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Common Fixed Point Theorems ◽  
Type Contraction ◽  
Coupled Coincidence

The purpose of this paper is to present some existence and uniqueness results for common fixed point theorems for θ-ϕ contraction mappings with two metrics endowed with a directed graph. In addition, by using our main results, we obtain some results about coupled coincidence points endowed with a directed graph. Our results generalize those presented in previous papers.

scholarly journals Common Fixed Point Theorems on Multi-Valued Mappings in 2-Metric Space using T-Hardy Rogers Contraction Condition and F-Contraction

2019 ◽  
Vol 7 (1) ◽  
pp. 88-91
Author(s):  
Dinanath Barman ◽  
◽  
, Krishnadhan Sarkar ◽  
Kalishankar Tiwary ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Weakly Compatible ◽  
Contraction Condition ◽  
Common Fixed Point Theorems ◽  
Type Contraction

In this paper we have introduced multi valued 2 matrices on 2 matric space and have prove some fixed point theorems for multi-valued mappings on 2-metric space using T-Hardy and Rogers type contraction condition. We have also used F-contraction conditions, occasionally weakly compatible to prove the theorems.

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