On new fixed point results in various distance spaces via \(\varphi\)-fixed point theorems in \(\mathcal{D}\)-generalized metric spaces with numerical results

DOI10.1007/S11784-019-0723-XzbMath1423.54085OpenAlexW2963151185MaRDI QIDQ2326932

Wutiphol Sintunavarat, Pathaithep Kumrod

Publication date: 10 October 2019

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-019-0723-x

zbMATH Keywords

\(b\)-metric spacedislocated metric space\(\varphi\)-fixed point\(\mathcal{D}\)-generalized metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (2)

Some new \(\varphi\)-fixed point and \(\varphi\)-fixed disc results via auxiliary functions ⋮ Fixed points which belong to the set of unit values of a suitable function on fuzzy metric spaces

Cites Work

• Extensions of Ćirić and wardowski type fixed point theorems in D-generalized metric spaces
• On the existence of fixed points that belong to the zero set of a certain function
• A new contractive condition approach to \(\varphi\)-fixed point results in metric spaces and its applications
• A generalized metric space and related fixed point theorems
• Fixed point theory in partial metric spaces via \(\varphi\)-fixed point's concept in metric spaces
• The set of noncontractive mappings is -porous in the space of all nonexpansive mappings
• Fixed point theory in modular function spaces

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