COMMON BEST PROXIMITY POINTS THEOREMS FOR H-CONTRACTIVE NON-SELF MAPPINGS
نویسندگان
چکیده
Fixed point theory and contractive mappings are popular tools in solving a variety of problems such as control theory, economic nonlinear analysis global analysis.There many works on different types contractions to find fixed metric spaces. Improving extending some kind those, this paper, we introduce new version H-contradiction for four space (X,d). Then, prove the existence uniqueness common best proximity non-self mappings. An example is also given support our main result. The related theorem proved.
منابع مشابه
Best Proximity Point Theorems for F -contractive Non-self Mappings
In this article, we prove the existence of a best proximity point for F contractive nonself mappings and state some results in the complete metric spaces. Also we define two kinds of F proximal contraction and extend some best proximity theorems and improve the recent results. 2010 Mathematics Subject Classification: 46N40; 47H10; 54H25; 46T99
متن کاملBest Proximity Point Theorems for Non-self Mappings
Let us consider a pair (A, B) of nonempty subsets of a metric space X and a mapping T : A → B. In this article, we introduced a notion called P−property and used it to prove sufficient conditions for the existence of a point x0 ∈ A, called best proximity point, satisfying d(x0, Tx0) = dist(A, B) := inf{d(a, b) : a ∈ A, b ∈ B}.
متن کاملOn best proximity points for multivalued cyclic $F$-contraction mappings
In this paper, we establish and prove the existence of best proximity points for multivalued cyclic $F$- contraction mappings in complete metric spaces. Our results improve and extend various results in literature.
متن کاملCommon best proximity points for $(psi-phi)$-generalized weak proximal contraction type mappings
In this paper, we introduce a pair of generalized proximal contraction mappings and prove the existence of a unique best proximity point for such mappings in a complete metric space. We provide examples to illustrate our result. Our result extends some of the results in the literature.
متن کاملFixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings
p ≥2 -cyclic and contractive self-mappings on a set of subsets of a metric space which are simultaneously accretive on the wholemetric space are investigated. The joint fulfilment of the p-cyclic contractiveness and accretive properties is formulated as well as potential relationships with cyclic self-mappings in order to be Kannan self-mappings. The existence and uniqueness of best proximity p...
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: Advances in the theory of nonlinear analysis and its applications
سال: 2021
ISSN: ['2587-2648']
DOI: https://doi.org/10.31197/atnaa.776709