\(Q\)-functions on quasimetric spaces and fixed points for multivalued maps

DOI10.1155/2011/603861zbMath1215.49016OpenAlexW1993625632WikidataQ59267053 ScholiaQ59267053MaRDI QIDQ536875

Yong-Cai Geng, Sumit K. Garg

Publication date: 19 May 2011

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

Full work available at URL: https://doi.org/10.1155/2011/603861

zbMATH Keywords

Bianchini-Grandolfi gauge functionssupremum metric\(Q\)-functionsfixed point results for multivalued mapsquasimetric spaces

Mathematics Subject Classification ID

Variational inequalities (49J40) Fixed-point theorems (47H10)

Related Items (15)

A fixed point theorem for generalized contractions involving \(w\)-distances on complete quasi-metric spaces ⋮ Contractive multivalued maps in terms of \(Q\)-functions on complete quasimetric spaces ⋮ A unified view on common fixed point theorems for Ćirić quasi-contraction maps ⋮ Fixed point of generalized weakly contractive mappings in ordered partial metric spaces ⋮ A new kind of $F$-contraction and some best proximity point results for such mappings with an application ⋮ Generalized contractive set-valued maps on complete preordered quasi-metric spaces ⋮ Characterizations of quasi-metric and \(G\)-metric completeness involving \(w\)-distances and fixed points ⋮ Double controlled quasi-metric type spaces and some results ⋮ Unnamed Item ⋮ Endpoints in \(T_0\)-quasi-metric spaces ⋮ Some best proximity point results via a new family of \(F\)-contraction and an application to homotopy theory ⋮ Coupled coincidence point theorems for (α-μ-ψ-H-F)-two sided-contractive type mappings in partially ordered metric spaces using compatible mappings ⋮ Revisiting Bianchini and Grandolfi theorem in the context of modified \(\omega\)-distances ⋮ Existence and Uniqueness results for nonlinear fractional differential equations via new \(Q\)-function ⋮ Fixed point theorems for (φ-ψ) contractions in partially ordered metric-like spaces using new auxiliary functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point results in quasimetric spaces
• Coupled coincidence point theorems for nonlinear contractions in partially ordered quasi-metric spaces with a \(Q\)-function
• The complexity probabilistic quasi-metric space
• Partial metric monoids and semivaluation spaces
• The Goldstine theorem for asymmetric normed linear spaces
• Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory
• Applications of the complexity space to the general probabilistic divide and conquer algorithms
• Compact and precompact sets in asymmetric locally convex spaces
• Continuous operators on asymmetric normed spaces
• Cauchy sequences in quasi-pseudo-metric spaces
• Approximation of metric spaces by partial metric spaces
• A characterization of partial metrizability: Domains are quantifiable.
• Quantitative continuous domains
• A generalization of the Banach contraction principle with high order of convergence of successive approximations
• New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
• A Note on Contractive Mappings
• Domain theoretic characterisations of quasi-metric completeness in terms of formal balls
• The space of formal balls and models of quasi-metric spaces
• A quantitative computational model for complete partial metric spaces via formal balls
• Nonconvex minimization problems
• The Smyth Completion
• Partial Metric Topology
• Partial metrisability of continuous posets

This page was built for publication: \(Q\)-functions on quasimetric spaces and fixed points for multivalued maps