\(K\)-metric and \(K\)-normed linear spaces: Survey
From MaRDI portal
Publication:1366591
zbMath0892.46002MaRDI QIDQ1366591
Publication date: 15 September 1997
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/41051
fixed point theoremsexistence and uniquenesscontractive mappingsGoursat problemssolvability of the Cauchy problemscales of Banach spacesBanach-Caccioppoli principle\(K\)-metric or \(K\)-normed linear spacesperiodic solution to ordinary differential equations
Related Items (98)
Quasi-contraction of Perov type ⋮ Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph ⋮ Coupled fixed point theorems for single-valued operators in \(b\)-metric spaces ⋮ Fixed points for some non-obviously contractive operators ⋮ Fixed point theorems on spaces endowed with vector-valued metrics ⋮ Cantor's intersection theorem for \(K\)-metric spaces with a solid cone and a contraction principle ⋮ On bounded solutions to weakly nonlinear vector-matrix differential equations of order \(n\) ⋮ A fixed point theorem and an application for the Cauchy problem in the scale of Banach spaces ⋮ Fixed point results under c-distance in tvs-cone metric spaces ⋮ Coupled fixed point results in cone metric spaces for \(\widetilde w\)-compatible mappings ⋮ Common fixed point under contractive condition of Ćirić's type on cone metric type spaces ⋮ On fixed point theory of monotone mappings with respect to a partial order introduced by a vector functional in cone metric spaces ⋮ Ascoli-type theorems in the cone metric space setting ⋮ Suzuki-type fixed point results in metric type spaces ⋮ Tripled fixed point of \(W\)-compatible mappings in abstract metric spaces ⋮ Some fixed and periodic points in abstract metric spaces ⋮ Abstract metric spaces and Sehgal-Guseman-type theorems ⋮ Common coupled fixed point theorems for \(w^*\)-compatible mappings without mixed monotone property ⋮ Non-solid cone \(b\)-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients ⋮ A note on the equivalence of some metric and cone metric fixed point results ⋮ Common fixed points in cone metric spaces for CJM-pairs ⋮ Common fixed point results for three and four mappings on vector-\(b\)-metric space with a graph ⋮ Common fixed point results in metric-type spaces ⋮ On the infimum of a quasiconvex vector function over an intersection ⋮ Edelstein-Suzuki-type fixed point results in metric and abstract metric spaces ⋮ Some remarks on Perov type mappings in cone metric spaces ⋮ Unnamed Item ⋮ Coincidence and fixed point theorems for generalized \((\psi,\phi)\)-weak nonlinear contraction in ordered \(K\)-metric spaces ⋮ On cone metric spaces: a survey ⋮ Coupled common fixed point theorems for \(w^{\ast }\)-compatible mappings in ordered cone metric spaces ⋮ Common fixed point theorems for the stronger Meir-Keeler cone-type function in cone ball-metric spaces ⋮ Symmetric spaces approach to some fixed point results ⋮ Common fixed points of weak contractions in cone metric spaces ⋮ Random fixed point theorems for Ciric quasi contraction in cone random metric spaces ⋮ The existence of cone critical point and common fixed point with applications ⋮ Fixed points and endpoints of set-valued contractions in cone metric spaces ⋮ Topological vector space-valued cone metric spaces and fixed point theorems ⋮ Fixed point results for multivalued maps in cone metric spaces ⋮ Fixed point results for Hardy-Rogers type contractions with respect to a c-distance in graphical cone metric spaces ⋮ Some results on set-valued contractions in abstract metric spaces ⋮ Remarks on ``Cone metric spaces and fixed point theorems of T-Kannan and T-Chatterjea contractive mappings ⋮ Weakly compatible mappings with respect to a generalized c-distance and common fixed point results ⋮ Nonlinear dynamics, fixed points and coupled fixed points in generalized gauge spaces with applications to a system of integral equations ⋮ Common fixed points for nonlinear quasi-contractions of Ćirić type ⋮ Some new versions of Hahn-Banach theorem ⋮ Pseudo-contractivity and metric regularity in fixed point theory ⋮ Fixed point theorems on cone S-metric spaces using implicit relation ⋮ A coincidence-point problem of Perov type on rectangular cone metric spaces ⋮ Unnamed Item ⋮ Fixed point theorems in ordered 𝐿-spaces ⋮ Some relations between \(n\)-tuple fixed point and fixed point results ⋮ Some results of Perov type in rectangular cone metric spaces ⋮ A generalized Banach fixed point theorem ⋮ A Krasnosel'skii-Zincenko-type method in \(K\)-normed spaces for solving equations ⋮ A unified theory of cone metric spaces and its applications to the fixed point theory ⋮ Unnamed Item ⋮ Coupled coincidence point and common coupled fixed point results in cone \(b\)-metric spaces ⋮ On the scalarization method in cone metric spaces ⋮ Boyd-Wong-type common fixed point results in cone metric spaces ⋮ On nonlinear quasi-contractions on TVS-cone metric spaces ⋮ Common fixed point theorems involving two pairs of weakly compatible mappings in \(K\)-metric spaces ⋮ On continuity of functions between vector metric spaces ⋮ Meir-Keeler-type conditions in abstract metric spaces ⋮ Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces ⋮ Common tripled fixed point theorems for \(W\)-compatible mappings along with the \(CLR_g\) property in abstract metric spaces ⋮ A note on fixed point results in complex-valued metric spaces ⋮ Generalized \(\varphi \)-contraction for a pair of mappings on cone metric spaces ⋮ Some results on fixed points of multifunctions on abstract metric spaces ⋮ Characterizations of reproducing cones and uniqueness of fixed points ⋮ Unnamed Item ⋮ On Ćirić maps with a generalized contractive iterate at a point and Fisher's quasi-contractions in cone metric spaces ⋮ Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces ⋮ Common fixed points for \((g, f)\) type maps in cone metric spaces ⋮ Unnamed Item ⋮ Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators ⋮ Rational type fuzzy-contraction results in fuzzy metric spaces with an application ⋮ General convergence theorems for iterative processes and applications to the Weierstrass root-finding method ⋮ Some common random fixed point theorems for contractive type conditions in cone random metric spaces ⋮ Common fixed point results of Perov type contractive mappings in \(D^\ast\)-cone metric spaces ⋮ Fixed point results for α-implicit contractions with application to integral equations ⋮ Coupled fractals in complete metric spaces ⋮ Perov's contraction principle and dynamic programming with stochastic discounting ⋮ Algebraic distances in various algebraic cone metric spaces ⋮ Fixed point theorems of generalized multi-valued mappings in cone b-metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Perov-type contractions ⋮ Fixed point results for generalized quasicontraction mappings in abstract metric spaces ⋮ The method of searching for zeros of functionals on a conic metric space and its stability issues ⋮ A convergence analysis and applications for the Newton-Kantorovich method in \(K\)-normed spaces ⋮ Unnamed Item ⋮ Results and Problems in Ulam Stability of Operatorial Equations and Inclusions ⋮ Fixed point theorems and the Ulam-Hyers stability in non-Archimedean cone metric spaces ⋮ Unnamed Item ⋮ On the Newton-Kantorovich method in \(K\)-normed spaces ⋮ Various generalizations of metric spaces and fixed point theorems ⋮ Fixed point theory of cyclic operators ⋮ On the equivalence between Perov fixed point theorem and Banach contraction principle
This page was built for publication: \(K\)-metric and \(K\)-normed linear spaces: Survey