Results 21 to 30 of about 2,056 (258)

Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem

Fixed Point Theory and Applications, 2009
Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal.
Thabet Abdeljawad, Erdal Karapinar
doaj   +1 more source

Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations

Nonlinear Analysis, 2016
In this paper, we introduce the concept of partial cone b-metric spaces as a generalization of partial metric, cone metric and b-metric spaces and establish some topological properties of partial cone b-metric spaces.
Chuanxi Zhu, Wenqing Xu, Tatjana Došenovič, Zorana Golubovic   +3 more
doaj   +1 more source

Dugundji’s theorem for cone metric spaces

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kieu Phuong Chi, Tran Van An
openaire   +1 more source

Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces

Abstract and Applied Analysis, 2012
The existence and uniqueness of the common coupled fixed point in cone metric spaces have been studied by considering different types of contractive conditions.
Zaid Mohammed Fadail, Abd Ghafur Bin Ahmad   +1 more
doaj   +1 more source

Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra

Journal of Function Spaces, 2021
In this article, applying the concept of a generalized c-distance in cone b-metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type ...
Ladan Aryanpour, Hamidreza Rahimi, Ghasem Soleimani Rad   +2 more
doaj   +1 more source

Some Nonunique Fixed Point Theorems of Ćirić Type on Cone Metric Spaces

Abstract and Applied Analysis, 2010
Some results of (Ćirić, 1974) on a nonunique fixed point theorem on the class of metric spaces are extended to the class of cone metric spaces. Namely, nonunique fixed point theorem is proved in orbitally 𝑇 complete cone metric spaces under the ...
Erdal Karapınar
doaj   +1 more source

FIXED POINT RESULTS FOR HARDY-ROGERS TYPE CONTRACTIONS WITH RESPECT TO A 𝐶-DISTANCE IN GRAPHICAL CONE METRIC SPACES

Проблемы анализа, 2020
The aim of this paper is to prove some existence and uniqueness results of the fixed points for Hardy-Rogers type contraction in cone metric spaces associated with a 𝑐-distance and endowed with a graph.
L. Aryanpour, H. Rahimi, G. Soleimani Rad   +2 more
doaj   +1 more source

Investigation of the fixed-point theorem on a complete cone metric space [PDF]

ITM Web of Conferences
Metric space is the one of topics in mathematical analysis which is still being studied and developed. Previous research has extended the contraction mappings and completeness properties from metric spaces to other spaces such as cone metric spaces. This
Rahma Zuhra, Hafnani Hafnani, Rini Oktavia   +2 more
doaj   +1 more source

Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems

Journal of Inequalities and Applications, 2023
In this paper, we introduce the notion of graphical cone metric spaces over Banach algebra and prove some fixed point results for a particular type of contractive mappings defined on such spaces.
Satish Shukla, Nikita Dubey, Rahul Shukla   +2 more
doaj   +1 more source

Coupled Fixed Point Theorems under Weak Contractions

Discrete Dynamics in Nature and Society, 2012
Cho et al. [Comput. Math. Appl. 61(2011), 1254–1260] studied common fixed point theorems on cone metric spaces by using the concept of c-distance. In this paper, we prove some coupled fixed point theorems in ordered cone metric spaces by using the ...
Y. J. Cho, Z. Kadelburg, R. Saadati, W. Shatanawi   +3 more
doaj   +1 more source