scholarly journals A generalized contraction mapping theorem in E-metric spaces

1974 ◽  
Vol 50 (3) ◽  
pp. 245-250 ◽  
Author(s):  
James Daniel
Keyword(s):  
Contraction Mapping ◽  
Metric Spaces ◽  
Generalized Contraction ◽  
Contraction Mapping Theorem

scholarly journals Fixed Point Theorem for Cyclic Weakly Generalized Contraction Mapping of Ciric Type

2020 ◽  
Vol 12 (4) ◽  
pp. 463-471
Author(s):  
S. Goyal ◽  
M. Garg
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Generalized Contraction ◽  
Contraction Mappings ◽  
Complete Metric Spaces

In this article, the concept of cyclic weakly generalized contraction mapping of Ciric type has been introduced and the existence of a fixed point for such mappings in the setup of complete metric spaces has been established. Result obtained extends and improves some fixed point results in the literature. Example is also given to show that class of contraction mappings introduced in the paper is strictly larger class than the class of mappings used in the literature and thus ensures wider applicability of the result by producing the solutions to new problems.

Fixed points in C∗-algebra valued b-metric spaces endowed with a graph

2018 ◽  
Vol 68 (3) ◽  
pp. 639-654 ◽  
Author(s):  
Sushanta Kumar Mohanta
Keyword(s):  
Fixed Points ◽  
Unique Solution ◽  
Operator Equation ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Contraction Mapping Theorem ◽  
C Algebra

Abstract We discuss the existence and uniqueness of fixed points for a self-mapping defined on a C∗-algebra valued b-metric space endowed with a graph. Our results extend and supplement several recent results in the literature. Some examples are provided to illustrate our results. Finally, as an application of G-contraction mapping theorem, existence of unique solution for a type of operator equation is given.

scholarly journals The Kannan Contraction Mapping Theorem for Composition Operators in Metric Spaces and Partially Ordered Metric Spaces

2019 ◽  
Author(s):  
Clement Boateng Ampadu
Keyword(s):  
Fixed Point ◽  
Partial Order ◽  
Metric Space ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Composition Operators ◽  
Contraction Mapping Theorem ◽  
Ordered Metric Spaces ◽  
Kannan Contraction

In this paper, fixed point theorems of the Kannan type are obtained in the setting of metric space and metric space endowed with partial order, respectively, for self-mappings that are composition operators.

scholarly journals Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems forα-λ-Contraction Mapping in Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Well Posedness ◽  
Generalized Contraction ◽  
Banach Contraction ◽  
New Type ◽  
The Banach Contraction Principle

We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so calledα-λ-contraction mapping. The results in this paper generalize and unify several results in the literature such as the Banach contraction principle.

scholarly journals Fixed Point of Interpolative Rus–Reich–Ćirić Contraction Mapping on Rectangular Quasi-Partial b-Metric Space

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 32
Author(s):  
Pragati Gautam ◽  
Luis Manuel Sánchez Ruiz ◽  
Swapnil Verma
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Real Number ◽  
Metric Space ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Rectangular Metric Space ◽  
New Type ◽  
Symmetry Requirement ◽  
Definition Of

The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. Here, we obtain a fixed point theorem for interpolative Rus–Reich–Ćirić contraction mappings in the realm of rectangular quasi-partial b-metric spaces. Furthermore, an example is also illustrated to present the applicability of our result.

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