Fixed point and common fixed point theorems on ordered cone b-metric spaces

DOI10.1155/2013/815289zbMath1273.54038OpenAlexW2032986211WikidataQ58917528 ScholiaQ58917528MaRDI QIDQ370234

Sahar Mohammad Abusalim, Mohd. Salmi Md. Noorani

Publication date: 19 September 2013

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

Full work available at URL: https://doi.org/10.1155/2013/815289

Mathematics Subject Classification ID

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

Related Items (8)

The existence of fixed point theorems for partial \(q\)-set-valued quasi-contractions in \(b\)-metric spaces and related results ⋮ Optimal solutions and applications to nonlinear matrix and integral equations via simulation function ⋮ Fixed point result and applications on a \(b\)-metric space endowed with an arbitrary binary relation ⋮ Common fixed point theorems for generalized contractive mappings with applications ⋮ Fixed Point Results for $F$-Hardy-Rogers Contractions via Mann's Iteration Process in Complete Convex $b$-Metric Spaces ⋮ Algebraic structures based on a classifying space of a compact Lie group ⋮ Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations ⋮ The Pb-cone metric spaces over Banach algebra with applications

Cites Work

• Common fixed point under contractive condition of Ćirić's type on cone metric type spaces
• A fixed point theorem for set-valued quasi-contractions in \(b\)-metric spaces
• Coupled coincidence point and common coupled fixed point theorems lacking the mixed monotone property
• Coupled common fixed point theorems for \(w^{\ast }\)-compatible mappings in ordered cone metric spaces
• Coupled fixed point theorems under weak contractions
• Common fixed point theorems for four mappings on cone metric type space
• Common fixed point theorems on generalized distance in ordered cone metric spaces
• Partially ordered cone metric spaces and coupled fixed point results
• Common fixed points of almost generalized contractive mappings in ordered metric spaces
• KKM mappings in cone \(b\)-metric spaces
• Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
• Fixed point and common fixed point theorems on ordered cone metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
• Common fixed point theorems for weakly compatible pairs on cone metric spaces
• Common fixed points of compatible maps of type \((\beta)\) on fuzzy metric spaces
• Some fixed point theorems on ordered cone metric spaces
• Newton’s Method for Convex Operators in Partially Ordered Spaces
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