scholarly journals Tripled Fixed Point Theorems of Caristi type Contraction in Partially Ordered Metric Space

2018 ◽  
Vol 7 (3.31) ◽  
pp. 98
Author(s):  
G Adilakshmi ◽  
G N.V.Kishore ◽  
N Veerraju
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Ordered Metric Space ◽  
Partially Ordered Metric Space ◽  
Tripled Fixed Point ◽  
Common Tripled Fixed Point ◽  
Type Contraction

The main aim of this paper is to obtain a unique common tripled fixed point theorem in partial ordered metric space using Caristi type contraction.  

scholarly journals A Tripled Fixed Point Theorem in Partially Ordered Complete S-Metric Space

2016 ◽  
Vol 5 ◽  
pp. 1-7
Author(s):  
Mohammed Sani Mashina
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Ordered Metric Space ◽  
Mixed Monotone Property ◽  
Partially Ordered Metric Space ◽  
Tripled Fixed Point ◽  
Monotone Property ◽  
Partially Ordered

Sedghiet al.(Mat. Vesn. 64(3):258-266, 2012) introduced the notion of anS-metric as a generalized metric in 3-tuples S:X3→[0,∞), whereXis a nonempty set. In this paper we prove a tripled fixed point theorem for mapping having the mixed monotone property in partially ordered S-metric space. Our result generalize the result of Savitri and Nawneet Hooda (Int. J. Pure Appl. Sci. Technol. 20(1):111-116, 2014, On tripled fixed point theorem in partially ordered metric space) into the settings of S-metric space.

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 Some Coupled Fixed Point Theorems in Modular Metric Space Using Caristi Type Contraction

2018 ◽  
Vol 7 (3.31) ◽  
pp. 102
Author(s):  
G Adilakshmi ◽  
G N.V.Kishore
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Modular Metric Spaces ◽  
Coupled Fixed Point Theorem ◽  
Type Contraction

In this paper, we obtained a unique common coupled fixed point theorem using Caristi type contraction in modular metric spaces. Also furnished an example to support our main results.  

scholarly journals Semicompatibility and fixed point theorems in an unboundedD-metric space

2005 ◽  
Vol 2005 (5) ◽  
pp. 789-801
Author(s):  
Bijendra Singh ◽  
Shishir Jain ◽  
Shobha Jain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Contractive Condition ◽  
Restricted Domain

Rhoades (1996) proved a fixed point theorem in a boundedD-metric space for a contractive self-map with applications. Here we establish a more general fixed point theorem in an unboundedD-metric space, for two self-maps satisfying a general contractive condition with a restricted domain ofxandy. This has been done by using the notion of semicompatible maps inD-metric space. These results generalize and improve the results of Rhoades (1996), Dhage et al. (2000), and Veerapandi and Rao (1996). These results also underline the necessity and importance of semicompatibility in fixed point theory ofD-metric spaces. All the results of this paper are new.

scholarly journals Common fixed point and best approximation results for subcompatible mappings in hyperbolic ordered metric spaces

2015 ◽  
Vol 24 (1) ◽  
pp. 77-82
Author(s):  
SAVITA RATHEE ◽  
◽  
SAVITA REETU ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Best Approximation ◽  
Metric Spaces ◽  
Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Common Fixed Point Theorem

In the present paper we establish a common fixed point theorem and apply it to find new best approximation results for ordered subcompatible mappings in the hyperbolic ordered metric space. Our results unify, generalize and complement various known results.

Common Fixed Point Theorems Using Compatible Mappings of Type (R) in Semi-metric Space

2020 ◽  
Vol 5 (5) ◽  
pp. 40-44
Author(s):  
Umesh Rajopadhyaya ◽  
K. Jha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.

Fixed point theorems for Zamfirescu mappings in metric spaces endowed with a graph

2015 ◽  
Vol 31 (3) ◽  
pp. 297-305
Author(s):  
FLORIN BOJOR ◽  
◽  
MAGNOLIA TILCA ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cyclic Operators

Let (X, d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coincides with X. We define the notion of G-Zamfirescu maps and obtain a fixed point theorem for such mappings. This extends and subsumes many recent results which were obtained for mappings on metric spaces endowed with a graph and for cyclic operators.

Caristi type fixed point theorems using Száz principle in quasi-metric spaces

2020 ◽  
Vol 36 (2) ◽  
pp. 179-188
Author(s):  
M. AAMRI ◽  
K. CHAIRA ◽  
S. LAZAIZ ◽  
EL-M. MARHRANI ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Maximum Principle ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces

In this paper, we use Szaz maximum principle to prove generalizations of Caristi fixed point theorem in a ´ preordered K-complete quasi metric space. Examples are given to support our results.

scholarly journals On ParametricS-Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Nihal Taş ◽  
Nihal Yılmaz Özgür
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Point Type

We introduce the notion of a parametricS-metric space as generalization of a parametric metric space. Using some expansive mappings, we prove a fixed-point theorem on a parametricS-metric space. It is important to obtain new fixed-point theorems on a parametricS-metric space because there exist some parametricS-metrics which are not generated by any parametric metric. We expect that many mathematicians will study various fixed-point theorems using new expansive mappings (or contractive mappings) in a parametricS-metric space.

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