Best proximity point theorem in quasi-pseudometric spaces

DOI10.1155/2016/9784592zbMath1470.54103OpenAlexW2293745487WikidataQ59121565 ScholiaQ59121565MaRDI QIDQ1669284

Raobert Plebaniak

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/9784592

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• The existence of best proximity points for multivalued non-self-mappings
• New completeness and periodic points of discontinuous contractions of Banach-type in quasi-gauge spaces without Hausdorff property
• A best proximity point theorem for weakly contractive non-self-mappings
• Fixed point results in quasimetric spaces
• Cauchy sequences in quasi-pseudo-metric spaces
• On best proximity points for set-valued contractions of Nadler type with respect to \(b\)-generalized pseudodistances in \(b\)-metric spaces
• Asymmetric structures, discontinuous contractions and iterative approximation of fixed and periodic points
• New results in the startpoint theory for quasipseudometric spaces
• Bitopological Spaces
• Startpoints and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Contractions in Quasi-Pseudometric Spaces
• Quasi-Gauge Spaces
• Best proximity points for cyclic mappings in ordered metric spaces

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