Caristi's fixed point theorem in cone metric space

DOI10.1155/2022/7523333zbMath1494.54054OpenAlexW4220902029WikidataQ113757925 ScholiaQ113757925MaRDI QIDQ2120219

Reny George, Fatemeh Lael, Naeem Saleem

Publication date: 31 March 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/7523333

zbMATH Keywords

set-valued mappingscone metric spaceCaristi-Kirk fixed point theorem

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

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Cites Work

• Fixed point theorems for w-cone distance contraction mappings in tvs-cone metric spaces
• A note on the equivalence of some metric and cone metric fixed point results
• On cone metric spaces: a survey
• Fixed point theory in cone metric spaces obtained via the scalarization method
• Cone metric spaces and fixed point theorems of contractive mappings
• Remarks on cone metric spaces and fixed point theorems of contractive mappings
• A solvability theorem for a class of quasiconvex mappings with applications to optimization
• Fixed point approximation of monotone nonexpansive mappings in hyperbolic spaces
• Fixed fuzzy point results of generalized Suzuki type F-contraction mappings in ordered metric spaces
• Ordered linear spaces
• On the Additivity of the Minkowski Functionals
• A PURELY METRIC PROOF OF THE CARISTI FIXED POINT THEOREM
• An Approach to Fixed-Point Theorems on Uniform Spaces
• Fixed Point Theory in Metric Spaces
• Fixed points of Suzuki-type generalized multivalued (f,θ,L)- almost contractions with applications
• The role of regularity to reach the vector valued version of Caristi's fixed point theorem
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