\(C^{*}\)-valued \(G\)-contractions and fixed points

DOI10.1186/S13660-015-0827-9zbMath1391.54037OpenAlexW2152175503WikidataQ59429049 ScholiaQ59429049MaRDI QIDQ262545

Dur-e- Shehwar, Tayyab Kamran

Publication date: 30 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0827-9

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (9)

Fixed point results in \(C^{*}\)-algebra-valued metric spaces are direct consequences of their standard metric counterparts ⋮ Fuzzy fixed point results of fuzzy mappings on \(b\)-metric spaces via \((\alpha_\ast, F)\)-contractions ⋮ \(C^*\)-algebra-valued modular spaces and fixed point theorems ⋮ 𝒥ℋℛ-Operator Pairs in C*-Algebra-Valued Modular Metric Spaces and Related Fixed Point Results with Application ⋮ Unnamed Item ⋮ \(\mathcal {JHR}\)-operator pairs in \(C^{*}\)-algebra-valued modular metric spaces and related fixed point results via \(C_{*}\)-class functions ⋮ Fixed point theorems for cyclic contractions in \(C^\ast\)-algebra-valued \(b\)-metric spaces ⋮ A short note on \(C^{*}\)-valued contraction mappings ⋮ \(C^*\)-algebra valued fuzzy soft metric spaces and results for hybrid pair of mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new type of multivalued contraction in partial Hausdorff metric spaces endowed with a graph
• \(C^{\ast}\)-algebra-valued metric spaces and related fixed point theorems
• Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces
• Some fixed point results on a metric space with a graph
• On cone metric spaces: a survey
• Cone metric spaces and fixed point theorems of contractive mappings
• Some fixed point theorems in \(b\)-metric space endowed with graph
• Fixed point theorem for weakly Chatterjea-type cyclic contractions
• Common fixed point results for mappings under nonlinear contraction of cyclic form in ordered metric spaces
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• Probabilistic \(G\)-contractions
• The method of successive approximations for functional equations
• Fixed point theorems for weakly contractive mappings on a metric space endowed with a graph
• Fixed point theorems in ordered abstract spaces
• Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• The contraction principle for mappings on a metric space with a graph
• Fixed point theorems in ordered 𝐿-spaces
• \(C^*\)-algebras by example

This page was built for publication: \(C^{*}\)-valued \(G\)-contractions and fixed points