Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality
From MaRDI portal
Publication:286876
DOI10.1186/1687-1812-2014-102zbMath1338.54235OpenAlexW2102271379WikidataQ59323976 ScholiaQ59323976MaRDI QIDQ286876
Publication date: 26 May 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2014-102
spectral radiusfixed point theorems\(c\)-sequencescone metric spaces over Banach algebrasgeneralized Lipschitz mappingsnon-normal cones
Related Items (49)
Some fixed point theorems on cone 2-metric spaces over Banach algebras ⋮ Fixed point theorems of order-Lipschitz mappings in Banach algebras ⋮ Some coincidence and common fixed-point results on cone \(b_2\)-metric spaces over Banach algebras with applications to the infinite system of integral equations ⋮ Some fixed point results on \(\mathcal{N}_b\)-cone metric spaces over Banach algebra ⋮ Algebraic cone metric spaces and fixed point theorems of contractive mappings ⋮ Fixed point theorems on cone 2-metric spaces over Banach algebras and an application ⋮ Boundary value problem for nonlinear fractional differential equations with delay ⋮ Some new theorems on \(c\)-distance without continuity in cone metric spaces over Banach algebras ⋮ Some fixed point results on \((\varphi,L,\mathfrak{m})\)-weak contraction in cone 2-metric spaces ⋮ Fixed point theorems of generalized contraction mappings on \(\varpi\)-cone metric spaces over Banach algebras ⋮ Algebra cone generalized b-metric space over Banach algebra and fixed point theorems of generalized Lipschitz mappings ⋮ Continuous controlled cone metric-type spaces over real Banach algebras and fixed-point results ⋮ Cone \(b_2\)-metric spaces over Banach algebra with applications ⋮ Fixed point theorems in complete cone metric spaces over Banach algebras ⋮ New Results on Generalized $c$-Distance Without Continuity in Cone $b$-Metric Spaces over Banach Algebras ⋮ Unnamed Item ⋮ Fixed-point theorems involving Lipschitz in the small ⋮ Generalized Kannan-type contraction and fixed point theorems ⋮ 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 ⋮ Some remarks on Perov type mappings in cone metric spaces ⋮ Unnamed Item ⋮ Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras ⋮ Contraction mapping in hexagonal cone \(b\)-metric spaces over Banach algebras and related fixed point theorems ⋮ Unnamed Item ⋮ Rectangular cone b-metric spaces over Banach algebra and contraction principle ⋮ Fixed-point results for generalized \(\alpha\)-admissible Hardy-Rogers' contractions in cone \(\mathfrak{b}_2\)-metric spaces over Banach's algebras with application ⋮ On \(J\)-cone metric spaces over a Banach algebra and some fixed-point theorems ⋮ Almost contraction mappings in cone $b$-metric spaces over Banach algebras ⋮ On generalized algebraic cone metric spaces and fixed point theorems ⋮ Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces ⋮ Generalized Ulam-Hyers stability and well-posedness for fixed point equation via \(\alpha\)-admissibility ⋮ \(F\)-cone metric spaces over Banach algebra ⋮ Unnamed Item ⋮ The A-cone metric space over Banach algebra with applications ⋮ Common fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered complex partial metric space ⋮ Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations ⋮ Coupled fixed point theorems for some type of contraction mappings in \(b\)-cone and \(b\)-theta cone metric spaces ⋮ Some fixed point theorems of contractive mappings in \(\mathcal{P}_b^r\)-cone metric spaces over Banach algebras ⋮ Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations ⋮ Quadruple random common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras ⋮ A novel approach to fixed point theorems in 2-cone normed spaces over Banach algebras ⋮ Nadler mappings in cone \(b\)-metric spaces over Banach algebras ⋮ On the solutions of a class of nonlinear integral equations in cone $b$-metric spaces over Banach algebras ⋮ Unnamed Item ⋮ Extended \(N_b\)-cone metric spaces over Banach algebra with an application ⋮ Fixed point theorems of ordered contractive mappings on cone metric spaces over Banach algebras ⋮ Cone Rectangular Metric Spaces over Banach Algebras and Fixed Point Results of T-Contraction Mappings ⋮ The Pb-cone metric spaces over Banach algebra with applications ⋮ Unique common fixed points for mixed contractive mappings on non-normal cone metric spaces over Banach algebras
Cites Work
- Fixed point results under c-distance in tvs-cone metric spaces
- Quasi-contractions on a nonnormal cone metric space
- Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
- Extensions of Banach contraction principle to partial cone metric spaces over a non-normal solid cone
- On an equivalence of topological vector space valued cone metric spaces and metric spaces
- A note on the equivalence of some metric and cone metric fixed point results
- On cone metric spaces: a survey
- A note on cone metric fixed point theory and its equivalence
- 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
- Fixed point theorem for two non-self mappings in cone metric spaces
- Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
- Quasi-contraction on a cone metric space
- Remarks on ``Quasi-contraction on a cone metric space
- Fixed point theorems of quasicontractions on cone metric spaces with Banach algebras
- Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality