Fixed point in topological vector space-valued cone metric spaces

DOI10.1155/2010/604084zbMath1197.54057OpenAlexW1970296237WikidataQ59253840 ScholiaQ59253840MaRDI QIDQ1958048

Akbar Azam, Ismat Beg, Muhammad Arshad

Publication date: 28 September 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232381

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

Some fixed and coincidence point theorems for expansive maps in cone metric spaces, On set-valued contractions of Nadler type in tvs-\(G\)-cone metric spaces, Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces, Lacunary statistically slowly oscillating continuity in abstract spaces, Unnamed Item, Compactness of soft cone metric space and fixed point theorems related to diametrically contractive mapping, A note on tvs-cone metric fixed point theory, Some fixed point results for relation theoretic weak \(\varphi \)-contractions in cone metric spaces equipped with a binary relation and application to the system of Volterra type equations, Best proximity point for q-ordered proximal contraction in noncommutative Banach spaces, A note on Stone's, Baire's, Ky Fan's and Dugundji's theorem in tvs-cone metric spaces, On an equivalence of topological vector space valued cone metric spaces and metric spaces, Coincidence and common fixed point results in partially ordered cone metric spaces and applications to integral equations, Unnamed Item, Multivalued fixed point results in cone metric spaces, A fixed point approach to the stability of functional equations on noncommutative spaces, A unified theory of cone metric spaces and its applications to the fixed point theory, Multivalued fixed point theorems in tvs-cone metric spaces, Boyd-Wong-type common fixed point results in cone metric spaces, A note on \(tvs-G\)-cone metric fixed point theory, Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Fixed point and common fixed point theorems on ordered cone metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
• Some extensions of Banach's contraction principle in complete cone metric spaces
• Common fixed points for maps on topological vector space valued cone metric spaces
• Common fixed points of generalized contractive maps in cone metric spaces
• Common fixed points under contractive conditions in cone metric spaces
• Vector metric spaces and some properties
• Some common fixed point results in cone metric spaces
• Common fixed points of two maps in cone metric spaces
• Strict contractive conditions and common fixed point theorems in cone metric spaces
• Assad-Kirk-type fixed point theorems for a pair of nonself mappings on cone metric spaces
• Common fixed points in cone metric spaces
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Common fixed points for maps on cone metric space
• Fixed points of weak contractions in cone metric spaces
• Banach contraction principle on cone rectangular metric spaces