Fixed point theory in the setting of \((\alpha,\beta,\psi,\phi)\)-interpolative contractions
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Publication:2167086
DOI10.1186/s13662-021-03491-wzbMath1494.54051OpenAlexW3185789603MaRDI QIDQ2167086
Erdal Karapınar, Andreea Fulga, Antonio-Francisco Roldán-López-de-Hierro
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03491-w
Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (15)
Fixed point results of enriched interpolative Kannan type operators with applications ⋮ New fixed point theorems for admissible hybrid maps ⋮ Fixed points of Proinov type multivalued mappings on quasimetric spaces ⋮ Revising the Hardy-Rogers-Suzuki-type \(Z\)-contractions ⋮ Interpolative Prešić type contractions and related results ⋮ Fixed point theorems for interpolative Kanann contraction mappings in Busemann space with an application to matrix equation ⋮ Fixed-point theorems for \(\omega\)-\(\psi\)-interpolative Hardy-Rogers-Suzuki-type contraction in a compact quasipartial \(b\)-metric space ⋮ Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT(0) space with application to hyperbolical rotation matrix ⋮ Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations ⋮ A new type of fixed point theorem via interpolation of operators with application in homotopy theory ⋮ FIXED POINT RESULT FOR A CLASS OF EXTENDED INTERPOLATIVE CIRIC-REICH-RUS (α, β, γF)-TYPE CONTRACTIONS ON UNIFORM SPACES ⋮ Fixed point results for interpolative \(\psi\)-Hardy-Rogers type contraction mappings in quasi-partial \(b\)-metric space with an applications ⋮ Unnamed Item ⋮ Fixed point theorem for interpolative mappings in \(F\)-\(M_v\)-metric space with an application ⋮ Some common fixed point results for \(\mathcal{Z}_E\)-contractions in modular \(b\)-metric spaces
Cites Work
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- Discussion on ``Multidimensional coincidence points via recent publications
- A new generalization of the Banach contraction principle
- Fixed point theorems for generalized contractive mappings in metric spaces
- Some new fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces
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- Some new fixed point theorems in fuzzy metric spaces
- Fixed Point Theory in Metric Type Spaces
- Fixed point theorems by combining Jleli and Samets, and Branciaris inequalities
- Revisiting the Kannan Type Contractions via Interpolation
- Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions
- A new approach to the study of fixed point theory for simulation functions
- On Nonlinear Contractions
- Some Results on Fixed Points--II
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