Remarks on Caristi's fixed point theorem

From MaRDI portal
Publication:1021714

DOI10.1016/j.na.2008.10.042zbMath1175.54056OpenAlexW2044710555MaRDI QIDQ1021714

Mohamed Amine Khamsi

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.042




Related Items

Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence pointsSome applications of Caristi's fixed point theorem in metric spacesOn Ha's version of set-valued Ekeland's variational principleSOME EXTENSION OF CARISTI FIXED POINT IN QUASI-METRIC SPACERemarks on Caristi's fixed point theorem in metric spaces with a graphOn Caristi fixed point theorem for set-valued mappingsCaristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric SpacesMaximal and minimal point theorems and Caristi's fixed point theoremApplications of Caristi's fixed point resultsOn fixed point theory of monotone mappings with respect to a partial order introduced by a vector functional in cone metric spacesExtension of Caristi's fixed point theorem to vector valued metric spacesEkeland’s Variational Principle for Functions Unbounded from belowRemarks on Caristi's fixed point theorem and Kirk's problemA note on Caristi-type cyclic maps: related results and applicationsOn Caristi's fixed point theorem and completeness of probabilistic metric spacesSome results on Caristi type coupled fixed point theoremsReich-Krasnoselskii-type fixed point results with applications in integral equationsNew results for set-valued mappings on ordered metric spacesFixed point theorems for nonlinear contractions in Menger spacesA Remark on the Caristi’s Fixed Point Theorem and the Brouwer Fixed Point TheoremFixed point theorems in partially ordered complete metric spacesLargest and least fixed point theorems of increasing mappings in partially ordered metric spacesA PURELY METRIC PROOF OF THE CARISTI FIXED POINT THEOREMFixed point theorems of set-valued mappings in partially ordered Hausdorff topological spacesFrom Caristi's theorem to Ekeland's variational principle in \(0_\sigma\)-complete metric-like spacesFixed points of set-valued maps in locally complete spacesCaristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applicationsA Kirk type characterization of completeness for partial metric spacesOrdered non-Archimedean fuzzy metric spaces and some fixed point resultsCaristi type selections of multivalued mappingsSome generalizations of Caristi's fixed point theorem with applications to the fixed point theory of weakly contractive set-valued maps and the minimization problemHadamard’s theorem for mappings with relaxed smoothness conditionsOn Caristi type maps and generalized distances with applicationsMaximality principle and general results of Ekeland and Caristi types without lower semicontinuity assumptions in cone uniform spaces with generalized pseudodistancesFixed points of set-valued Caristi-type mappings on semi-metric spaces via partial order relationsSequentially lower complete spaces and Ekeland's variational principleUnnamed ItemFixed points for \(w\)-contractive multimapsGeneralized Caristi's fixed point theoremsEkeland variational principle on weighted graphsUnnamed ItemUnnamed ItemUnnamed ItemCaristi, Nadler and \(\mathcal{H}^+\)-type contractive mappings and their fixed points in \(\theta\)-metric spaces



Cites Work