Fixed point theorems for contractive mappings in complete \(G\)-metric spaces

From MaRDI portal
Publication:1030585

DOI10.1155/2009/917175zbMath1179.54067OpenAlexW2068666235WikidataQ59248870 ScholiaQ59248870MaRDI QIDQ1030585

Zead Mustafa, Brailey Sims

Publication date: 2 July 2009

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

Full work available at URL: https://eudml.org/doc/45503




Related Items

Coincidence point theorems on quasi-metric spaces via simulation functions and applications to \(G\)-metric spacesOn mappings with \(\varphi\)-contractive iterate at a point on generalized metric spacesCoupled coincidence point theorems for a \(\phi\)-contractive mapping in partially ordered \(G\)-metric spaces without mixed \(g\)-monotone property\(\varphi\)-contraction in generalized probabilistic metric spacesCommon fixed point results for four maps satisfying \(\phi\)-contractive condition in multiplicative metric spacesCoupled fixed point theorems for \((\alpha, \phi)_{g}\)-contractive type mappings in partially ordered \(G\)-metric spacesFixed point theorems for weakly compatible mappings under implicit relations in quaternion valued \(G\)-metric spacesLast remarks on \(G\)-metric spaces and related fixed point theoremsPositive definite solution of a nonlinear matrix equationTwo common fixed point theorems for three mappings satisfying a \(\varPhi\)-implicit relation in complete \(G\)-metric spacesCommon fixed point results for three maps in generalized metric spaceRemarks on \(G\)-metric spacesCommon coupled coincidence and coupled fixed point results in two generalized metric spacesNonlinear coupled fixed point theorems in ordered generalized metric spaces with integral typeCommon fixed points of \(R\)-weakly commuting maps in generalized metric spacesCoupled fixed point of generalized contractive mappings on partially ordered \(G\)-metric spacesCommon fixed points for single-valued and multi-valued maps satisfying a generalized contraction in \(G\)-metric spacesCommon fixed point for three pairs of self-maps satisfying common (E.A) property in generalized metric spacesOn coupled coincidence point theorems on partially ordered \(G\)-metric spaces without mixed \(g\)-monotoneCommon fixed point theorems for non-compatible self-maps in generalized metric spacesSome fixed/coincidence point theorems under \((\psi, \varphi)\)-contractivity conditions without an underlying metric structureTripled coincidence point results for generalized contractions in ordered generalized metric spacesFixed point theorems via generalized \(F\)-contractions with applications to functional equations occurring in dynamic programmingRemarks on \(G\)-metric spaces and fixed point theoremsMixed \(g\)-monotone property and quadruple fixed point theorems in partially ordered G-metric spaces using \((\phi -{\psi})\) contractionsNonlinear cyclic weak contractions in \(G\)-metric spaces and applications to boundary value problemsCommon fixed point theorems for expansion mappings in various abstract spaces using the concept of weak reciprocal continuityOn generalized weakly \(G\)-contractive mappings in partially ordered \(G\)-metric spacesSome fixed-point results for a \(G\)-weak contraction in \(G\)-metric spacesCommon fixed point theorems for fuzzy mappings in \(G\)-metric spacesCommon fixed points of Ćirić-type contractive mappings in two ordered generalized metric spacesSome results on a tripled fixed point for nonlinear contractions in partially ordered \(G\)-metric spacesCoupled fixed point theorems on partially ordered \(G\)-metric spacesCoupled fixed point theorems for generalized contractive mappings in partially ordered \(G\)-metric spacesCommon fixed points of six mappings in partially ordered \(G\)-metric spacesA new approach to fixed point theorems on \(G\)-metric spacesRetracted article: Coupled fixed point theorems without continuity and mixed monotone propertyRemarks on some coupled fixed point theorems in \(G\)-metric spacesFixed-point results on complete G-metric spaces for mappings satisfying an implicit relation of new typeGeneralized metric spaces: a surveySome periodic point results in generalized metric spacesCoupled fixed point theorems in partially ordered \(G\)-metric spacesCommon fixed point for generalized weakly G-contraction mappings satisfying common (\(E.A\)) property in \(G\)-metric spacesFixed and coupled fixed point theorems of omega-distance for nonlinear contractionSome coincidence point results for generalized (\({\psi,\varphi}\))-weakly contractive mappings in ordered \(G\)-metric spacesSome coupled common fixed points for a pair of mappings in partially ordered \(G\)-metric spacesCoupled fixed point theorems for nonlinear contractions in partially ordered \(G\)-metric spacesCommon fixed point theorems for six mappings in generalized metric spacesCommon fixed point theorems of Altman integral type mappings in \(G\)-metric spacesOn coupled fixed point theorems for nonlinear contractions in partially ordered \(G\)-metric spacesCoupled fixed point results for \((\psi,\phi)\)-weakly contractive mappings in ordered \(G\)-metric spacesCoupled common fixed point results in two generalized metric spacesCommon fixed point of mappings satisfying (E.A) property in generalized metric spacesMeir-Keeler type contractions in partially ordered \(G\)-metric spacesCommon fixed point of generalized weakly contractive maps in partially ordered \(G\)-metric spacesSome fixed point results in \(GP\)-metric spacesTripled fixed point results in generalized metric spacesCommon fixed point theorems for a class of twice power type contraction maps in \(G\)-metric spacesProperty P in G-metric spacesCoupled fixed point results in generalized metric spacesProperty \(P\) and some fixed point results on \((\psi, \phi)\)-weakly contractive \(G\)-metric spacesSome fixed point theorems in generalized probabilistic metric spacesA unification of \(G\)-metric, partial metric, and \(b\)-metric spacesFixed points of \(T\)-Hardy Rogers type contraction mapping in \(G\)-metric spacesFixed points and lines in 2-metric spacesWeak contractions on chains in a generalized metric space with a partial orderSome fixed point results on complex valued \(G_{b}\)-metric spacesExistence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spacesFixed point theorems for generalized \(\theta - \phi\)-contractions in \(G\)-metric spacesAn order theoretic approach in fixed point theoryOn Ćirić generalization of mappings with a contractive iterate at a point in \(G\)-metric spacesFixed point results for generalized \(F\)-contractive and roger Hardy type \(F\)-contractive mappings in \(G\)-metric spacesA new approach to \(G\)-metric and related fixed point theorems\(G\)-\(\beta\)-\(\psi\)-contractive type mappings in \(G\)-metric spacesSome multidimensional fixed point theorems on partially preordered \(G^\ast\)-metric spaces under (\(\psi\),\(\phi\))-contractivity conditionsFurther fixed point results on \(G\)-metric spacesSome new common coupled fixed point results in two generalized metric spacesSome new common fixed point results for three pairs of mappings in generalized metric spacesSome new common fixed point theorems under strict contractive conditions in \(G\)-metric spacesAre fixed point theorems in G-metric spaces an authentic generalization of their classical counterparts?Cyclic contractions on \(G\)-metric spacesCommon fixed point for two pairs of mappings satisfying (E.A) property in generalized metric spacesExistence of solutions of integral equations via fixed point theoremsFixed points of admissible almost contractive type mappings on \(b\)-metric spaces with an application to quadratic integral equationsA short-note on `common fixed point theorems for non-compatible self-maps in generalized metric spaces'Common fixed point results for three pairs of self-maps satisfying new contractive conditionGeneralized probabilistic metric spaces and fixed point theoremsRemarks on contractive type mappingsFixed point theorems in \(G\)-metric spacesSome almost generalized \((\psi,\phi)\)-contractions in \(G\)-metric spaces\(G\)-metric spaces in any number of arguments and related fixed-point theoremsFixed point theorems for two pairs of mappings satisfying a new type of common limit range property in \(G_{p}\) metric spacesA different approach to complex valued \(G_b\)-metric spacesCommon coupled fixed-point theorems in generalized fuzzy metric spacesA coincidence best proximity point problem in \(G\)-metric spacesFixed point theorems in modular \(G\)-metric spacesA proposal to the study of contractions in quasi-metric spacesVarious generalizations of metric spaces and fixed point theorems\((H, F)\)-closed set and coupled coincidence point theorems for a generalized compatible in partially \(G\)-metric spacesCommon fixed point results under a new contractive condition without using continuityTwo general fixed point theorems for a sequence of mappings satisfying implicit relations in Gp - metric spacesUnnamed ItemUnnamed ItemCommon fixed point theorem for multivalued mappings using ternary relation in \(G\)-metric space with an applicationCoincidence fixed-point theorems for \(p\)-hybrid contraction mappings in \(G_b\)-metric space with applicationCharacterizations of quasi-metric and \(G\)-metric completeness involving \(w\)-distances and fixed pointsEXISTENCE OF FIXED POINT FOR NONLINEAR OPERATOR IN PARTIALLY ORDERED METRIC SPACESA Generalized Fixed Points for Multi-valued Mappings in G-Metric Spaces and ApplicationsFixed point results for \(G^m\)-Meir-Keeler contractive and \(G\)-\(({\alpha},{\psi})\)-Meir-Keeler contractive mappingsCoincidence Point Results for Different Types of $ H_b^{+} $-contractions on $m_b$-Metric SpacesUnnamed ItemUnnamed ItemOn the distance between three arbitrary pointsCoupled common fixed point theorems for a pair of commuting mappings in partially ordered G-metric spacesCyclic contractions via auxiliary functions on \(G\)-metric spacesSome fixed point results for mappings in \(G\)-metric spacesCommon fixed point of power contraction mappings satisfying (E.A) property in generalized metric spacesOn positive definite solution of nonlinear matrix equationsExistence of fixed point for GP(Λ;Θ)-contractive mappings in GP-metric spacesUnnamed ItemWeakly compatible maps of type (A) in G-metric spacesUnnamed ItemUnnamed Item\(\Omega\)-distance and coupled fixed point in \(G\)-metric spacesCoupled coincidence point results for \((\psi,\varphi)\)-weakly contractive mappings in partially ordered \(G_b\)-metric spacesGeneralized Meir-Keeler type contractions on \(G\)-metric spacesSome fixed point theorems of self-generalized contractions in partially ordered G-metric spacesCoupled coincidence points for a class of nonlinear contractive mappings in partially ordered \(G\)-metric spacesC-class functions on fixed and common fixed point results for cyclic mappings of Omega-distanceUnnamed ItemSOME ASYMPTOTIC GENERALIZED n-TUPLET COINCIDENCE FIXED POINT THEOREMSUnnamed ItemInverse-C-class function on weak semi compatibility and fixed point theorems for expansive mappings in G-metric spacesUnnamed ItemRelated fixed point results for cyclic contractions on G-metric spaces and applicationUnnamed ItemMultivalued (g − F − φ) contractions obtaining common fixed points in G-metric spacesA FIXED POINT THEOREM OF GENERALIZED Φ-CONTRACTIONS IN PARTIALLY ORDERED G-METRIC SPACES



Cites Work


This page was built for publication: Fixed point theorems for contractive mappings in complete \(G\)-metric spaces