Coupled fixed point theorems under new coupled implicit relation in Hilbert spaces

DOI10.1515/dema-2022-0010OpenAlexW4285119218WikidataQ113741139 ScholiaQ113741139MaRDI QIDQ2140612

Kyung Soo Kim

Publication date: 23 May 2022

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2022-0010

zbMATH Keywords

Hilbert spacewell-posednesscoupled fixed pointcoupled asymptotically \(F\)-regularcoupled implicit relation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Fixed-point theorems (47H10) Characterizations of Hilbert spaces (46C15)

Related Items (3)

Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space ⋮ Unique common fixed points for expansive maps ⋮ Graphical structure of double controlled metric-like spaces with an application

Cites Work

• Remarks on `Coupled coincidence point results for a generalized compatible pair with applications'
• Existence and uniqueness of common coupled fixed point results via auxiliary functions
• Coupled fixed point theorems for nonlinear contractions in cone metric spaces
• Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications
• Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces
• An illusion: ``A Suzuki type coupled fixed point theorem
• A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation
• Discussion on some coupled fixed point theorems
• Construction of fixed points of nonlinear mappings in Hilbert space
• WELL-POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION
• Coupled fixed points of nonlinear operators with applications
• A Generalization of Banach's Contraction Principle
• WELL-POSEDNESS AND POROSITY OF A CERTAIN CLASS OF OPERATORS
• A Fixed-Point Problem with Mixed-Type Contractive Condition
• Generalization of (α-F_{d})--contraction on quasi--metric space
• Some Presic Type Results in $b-$Dislocated Metric Spaces
• Fixed points of (α,ψ)‐contractions in Hausdorff partial metric spaces
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