\(\theta\)-metric space: a generalization

DOI10.1155/2013/504609zbMath1296.54033arXiv1109.3025OpenAlexW2073563789WikidataQ59028227 ScholiaQ59028227MaRDI QIDQ460021

Farshid Khojasteh, Stojan Radenović, Erdal Karapınar

Publication date: 13 October 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3025

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35)

Related Items (15)

Extensions of Ćirić and wardowski type fixed point theorems in D-generalized metric spaces ⋮ Best approximation and variational inequality problems involving a simulation function ⋮ Best proximity point results in partially ordered metric spaces via simulation functions ⋮ Fixed point theorems for generalized set-valued weak \(\theta \)-contractions in complete metric spaces ⋮ Theta cone metric spaces and some fixed point theorems ⋮ New \(PPF\) dependent fixed point theorems for Suzuki type \(GF\)-contractions ⋮ On fixed point theorems for contractive mappings of integral type with w-distance ⋮ Unnamed Item ⋮ Simulation functions: a survey of recent results ⋮ New fixed point results with PPF dependence in Banach spaces endowed with a graph ⋮ Unnamed Item ⋮ Caristi, Nadler and \(\mathcal{H}^+\)-type contractive mappings and their fixed points in \(\theta\)-metric spaces ⋮ Influence of θ-metric spaces on the diameter of rough weighted I2-limit set ⋮ Fixed point results on θ-metric spaces via simulation functions ⋮ A new approach to \((\alpha, \psi)\)-contractive nonself multivalued mappings

Cites Work

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• Extension of Caristi's fixed point theorem to vector valued metric spaces
• Some generalizations of Caristi's fixed point theorem with applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem
• Fixed points in fuzzy metric spaces
• Generalizations of Caristi-Kirk's theorem on partial metric spaces
• Quasicone metric spaces and generalizations of Caristi Kirk's theorem
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• On some results in fuzzy metric spaces

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