Fixed point theorem of generalized operator quasi-contractive mapping in cone metric space

DOI10.1007/s13370-012-0105-7zbMath1304.54101OpenAlexW2076197369MaRDI QIDQ467955

Xiangsun Zhang

Publication date: 5 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0105-7

zbMATH Keywords

fixed point theoremcone metric spacegeneralized operator quasi-contractive mapping

Mathematics Subject Classification ID

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

Related Items (1)

Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces

Cites Work

• On the metrizability of cone metric spaces
• A note on the equivalence of some metric and cone metric fixed point results
• Fixed point theory in cone metric spaces obtained via the scalarization method
• Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces
• A note on cone metric fixed point theory and its equivalence
• Fixed point and common fixed point theorems on ordered cone metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on fixed points of quasi-contraction maps
• Quasi-contraction on a cone metric space
• Some generalizations of fixed point theorems in cone metric spaces
• Remarks on ``Quasi-contraction on a cone metric space
• Fixed point results for generalized quasicontraction mappings in abstract metric spaces
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