Fixed point theorems on an orthogonal metric space using Matkowski type contraction
نویسندگان
چکیده
The purpose of this paper is to prove Boyd-Wong and Matkowski type fixed point theorems in orthogonal metric space which was defined by M.E. Gordji 2017 an extension the space. Some examples are established support our main results. Finally, we apply results establish existence a unique solution periodic boundary value problem.
منابع مشابه
Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction
In the present paper, we introduces the notion of integral type contractive mapping with respect to ordered S-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered S-metric space. Moreover, we give an example to support our main result.
متن کاملFixed Point Theory in $varepsilon$-connected Orthogonal Metric Space
The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some i...
متن کاملIntegral type contraction and coupled fixed point theorems in ordered G-metric spaces
In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.
متن کاملFixed point theory in generalized orthogonal metric space
In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.
متن کاملUnique Fixed Point Theorems In Metric Space
In this paper, we have established unique fixed point theorems in complete metric space and generalized in n-dimensional space. AMS Subject Classification (2010): 10 47H , 25 54H , 50 54E
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Carpathian Mathematical Publications
سال: 2022
ISSN: ['2075-9827', '2313-0210']
DOI: https://doi.org/10.15330/cmp.14.1.127-134