Best proximity point for q-ordered proximal contraction in noncommutative Banach spaces

DOI10.4995/agt.2023.18029zbMath1527.54022MaRDI QIDQ6182512

Ayush Bartwal, Ismat Beg, Shivam Rawat

Publication date: 21 December 2023

Published in: Applied General Topology (Search for Journal in Brave)

zbMATH Keywords

best proximity pointnoncommutative Banach spaceproximal comparablenonunique contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Noncommutative function spaces (46L52)

Cites Work

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• Common fixed point theorems on generalized distance in ordered cone metric spaces
• New cone fixed point theorems for nonlinear multivalued maps with their applications
• On cone metric spaces: a survey
• Best proximity points: Optimal solutions
• A note on cone metric fixed point theory and its equivalence
• Fixed point and common fixed point theorems on ordered cone metric spaces
• Existence and convergence of best proximity points
• Cone metric spaces and fixed point theorems of contractive mappings
• Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
• Remarks on nonlinear contractions
• Nonlinear constractions in abstract spaces
• Fixed point in topological vector space-valued cone metric spaces
• Best proximity pair theorems for multifunctions with open fibres
• Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces
• Fixed point results for enriched ordered contractions in noncommutative Banach spaces
• Best proximity points in noncommutative Banach spaces
• Best proximity point results for \(p\)-proximal contractions
• Best proximity and best periodic points for proximal nonunique contractions
• A unified theory of cone metric spaces and its applications to the fixed point theory
• Feng-Liu type approach to best proximity point results for multivalued mappings
• Extensions of Banach's Contraction Principle
• Banach contraction principle on cone rectangular metric spaces
• Best proximity point theorems for cyclic p-contractions with some consequences and applications
• KW-Type Nonlinear Contractions and Their Best Proximity Points
• A new survey: Cone metric spaces
• Kannan type mapping in TVS-valued cone metric spaces and their application to Urysohn integral equations
• On the existence of best proximity points for generalized contractions