Caristi’s Fixed Point Theorem in Cone Metric Space
نویسندگان
چکیده
In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result single set-valued mappings in cone metric spaces. addition, partially addressed an open problem which spaces reduces to classical provided justification partial positive answer using theorem on uniform space. The proofs given Caristi-Kirk’s vary use different techniques.
منابع مشابه
$S$-metric and fixed point theorem
In this paper, we prove a general fixed point theorem in $textrm{S}$-metric spaces for maps satisfying an implicit relation on complete metric spaces. As applications, we get many analogues of fixed point theorems in metric spaces for $textrm{S}$-metric spaces.
متن کاملA Common Fixed Point Theorem in Cone Metric Spaces 1
In this paper, we prove a common fixed point theorem for a sequence of mappings in cone metric spaces. This result offers a generalization of Huang and Zhang’ theorem in [11]. An example to support our result is presented. Mathematics Subject Classification: 54E40; 54E35; 54H25
متن کاملGeneralization of a Fixed Point Theorem in Cone Metric Spaces
Let P be a subset of a Banach space E and P is normal and regular cone on E, we prove the existence of the fixed point for multivalued maps in cone metric spaces and these theorems generalize the Bose and Mukerjee results and the results of varies authors.
متن کاملFixed point theorems under c-distance in ordered cone metric space
Recently, Cho et al. [Y. J. Cho, R. Saadati, S. H. Wang, Common xed point theorems on generalized distance in ordered cone metric spaces, Comput. Math. Appl. 61 (2011) 1254-1260] dened the concept of the c-distance in a cone metric space and proved some xed point theorems on c-distance. In this paper, we prove some new xed point and common xed point theorems by using the distance in ordered con...
متن کاملCommon Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive
Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric ...
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: Journal of function spaces
سال: 2022
ISSN: ['2314-8896', '2314-8888']
DOI: https://doi.org/10.1155/2022/7523333