New Common Coupled Fixed Point Results of Integral Type Contraction in Generalized Metric Spaces

2016 ◽  
Vol 4 (2) ◽  
pp. 145-152
Author(s):  
Rahim Shah ◽  
Akbar Zada ◽  
Tongxing Li
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Integral Type ◽  
Generalized Metric Spaces ◽  
Common Coupled Fixed Point ◽  
Generalized Metric ◽  
Type Contraction

scholarly journals Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type

2012 ◽  
Vol 2012 (1) ◽  
pp. 8 ◽  
Author(s):  
Yeol JE Cho ◽  
Billy E Rhoades ◽  
Reza Saadati ◽  
Bessem Samet ◽  
Wasfi Shantawi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Integral Type ◽  
Generalized Metric Spaces ◽  
Generalized Metric

Fixed point Theorem Satisfying Weak Integral Type Contraction in Generalized Metric Spaces

2016 ◽  
Vol 5 (3) ◽  
pp. 213-219
Author(s):  
Muhammad Shoaib ◽  
Muhammad Sarwar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Type ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Type Contraction

scholarly journals Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Xiao-lan Liu ◽  
Mi Zhou ◽  
Boško Damjanović
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Ordered Metric Spaces ◽  
Common Coupled Fixed Point ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Weakly Compatible ◽  
Common Limit Range Property ◽  
Type Contraction

We study the existence and uniqueness of common coupled fixed point of four self-mappings for Geraghty-type contraction using weakly compatible mappings in partially ordered metric spaces with common limit range property (denoted by (CLRST)), the property of E.A, and so on. It is noted that the continuity of mappings and completeness of spaces can be removed. Our results improve, extend, complement, and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results.

scholarly journals COUPLED FIXED POINT THEOREMS FOR RATIONAL INEQUALITY IN GENERALIZED METRIC SPACES

2015 ◽  
Vol 31 (1) ◽  
pp. 65-75
Author(s):  
Deepak Singh ◽  
Surjeet Singh Tomar ◽  
M.S. Rathore ◽  
Varsha Chauhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Generalized Metric Spaces ◽  
Generalized Metric

scholarly journals Fixed points and coupled fixed points in partially ordered ν-generalized metric spaces

2018 ◽  
Vol 19 (2) ◽  
pp. 189 ◽  
Author(s):  
Mortaza Abtahi ◽  
Zoran Kadelburg ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Partially Ordered ◽  
Generalized Metric ◽  
Coupled Fixed Points

<p>New fixed point and coupled fixed point theorems in partially ordered ν-generalized metric spaces are presented. Since the product of two ν-generalized metric spaces is not in general a ν-generalized metric space, a different approach is needed than in the case of standard metric spaces.</p>

scholarly journals Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Saif Ur Rehman ◽  
Muhammad Talha Waheed ◽  
Naeem Jan ◽  
Abdu Gumaei ◽  
Mabrook Al-Rakhami
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Integral Type ◽  
Cone Metric Spaces ◽  
Cone Metric ◽  
Rational Type ◽  
Type Contraction

In this paper, we establish the new concept of rational coupled fuzzy cone contraction mapping in fuzzy cone metric spaces and prove some unique rational-type coupled fixed-point theorems in the framework of fuzzy cone metric spaces by using “the triangular property of fuzzy cone metric.” To ensure the existence of our results, we present some illustrative unique coupled fixed-point examples. Furthermore, we present an application of a Lebesgue integral-type contraction mapping in fuzzy cone metric spaces and to prove a unique coupled fixed-point theorem.

scholarly journals Two fixed point theorems in generalized metric spaces

2016 ◽  
Vol 4 (1) ◽  
pp. 16
Author(s):  
Salwa S Abed ◽  
Hadeel H. Luaibi
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Coupled Fixed Point ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Implicit Condition

<p>In this paper, we prove there exists a coupled fixed point for a set- valued contraction mapping defined on X× X , where X is incomplete ordered G-metric. Also, we prove the existence of a unique fixed point for single valued mapping with respect to implicit condition defined on a complete G- metric.</p>

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