Some approximate fixed point results and application on graph theory for partial (h-F)-generalized convex contraction mappings with special class of functions on complete metric space

DOI10.22436/JNSA.010.04.32zbMath1412.47132OpenAlexW2607229409MaRDI QIDQ4631045

Sumit Chandok, Mohammed M. M. Jaradat, Arslan Hojat Ansari, Zead Mustafa, Ćemal Dolićanin

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.04.32

zbMATH Keywords

graph\(\alpha\)-admissible\(\alpha\)-complete metric spaces\(\varepsilon\)-fixed pointpartial (h-F)-generalized convex contractions of order 3partial (h-F)-subgeneralized convex contractions of order 3

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (3)

Common fixed point theorems for two pairs of self-mappings in partial metric space using C-class functions on (ψ,φ)-contractive condition ⋮ Some approximate fixed point theorems without continuity of the operator using auxiliary functions ⋮ Unnamed Item

Cites Work

• Approximate coincidence point of two nonlinear mappings
• Approximate fixed points of generalized convex contractions
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Approximate fixed point theorems for partial generalized convex contraction mappings in \(\alpha\)-complete metric spaces
• The approximate fixed point property in product spaces
• Some fixed point theorems for convex contraction mappings and mappings with convex diminishing diameters. I
• Approximate selections, best approximations, fixed points, and invariant sets
• Fixed point theory in \(\alpha\)-complete metric spaces with applications
• Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
• Fixed point theorems on \(b\)-metric spaces for weak contractions with auxiliary functions
• The solution by iteration of nonlinear functional equations in Banach spaces
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