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Atanas Ilchev

Observed names: A. Ilchev, ATANAS ILCHEV, Ilchev, Atanas
Institution: Plovdiv University
ORCID: 0000-0002-9690-2863
Observed ORCID: 0000-0002-9690-2863
OpenAlex ID: A5031038209
Error estimates for approximation of coupled best proximity points for cyclic contractive maps
2016 · A. Ilchev, B. Zlatanov · Applied Mathematics and Computation · 21
Fixed and best proximity points for Kannan cyclic contractions in modular function spaces
2017 · Atanas Ilchev, Boyan Zlatanov · Journal of Fixed Point Theory and Applications · 18
On Coupled Best Proximity Points in Reflexive Banach Spaces
2022 · Laura Ajeti, Atanas Ilchev, et al. · Mathematics · 9
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Investigation of Equilibrium in Oligopoly Markets with the Help of Tripled Fixed Points in Banach Spaces
2024 · Atanas Ilchev, Vanya Ivanova, et al. · Econometrics · 6
Guarded Language Operators as Contractions in a Length-Based Ultrametric Space
2026 · Hristo Hristov, Atanas Ilchev, et al. · Mathematics · 4
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Positive Definite Solution of System of Matrix Equations with X−k and Y−l via Coupled Fixed Point Theorem in Partially Ordered Spaces
2025 · Aynur Ali, Cvetelina Dinkova, et al. · Axioms · 4
Modeling the Tripodal Mobile Market Using Response Functions Instead of Payoff Maximization
2025 · Aynur Ali, Atanas Ilchev, et al. · Mathematics · 4
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Coupled fixed points for Chatterjea type maps with the mixed monotone property in partially ordered metric spaces
2019 · Miroslav Hristov, Atanas Ilchev, et al. · AIP conference proceedings · 4
Weak Monotone Fixed Points for Positive–Negative Guarded Language Systems in a Length-Based Ultrametric Space
2026 · Laura Ajeti, Hristo Hristov, et al. · Axioms · 3
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Coupled Fixed Points in (q1, q2)-Quasi-Metric Spaces
2025 · Atanas Ilchev, Rumen Marinov, et al. · Mathematics · 3
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Bhaskar-Lakshmikantham fixed point theorem vs Ran-Reunrings one and some possible generalizations and applications in matrix equations
2024 · Aynur Ali, Cvetelina Dinkova, et al. · AIMS Mathematics · 3
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Coupled Fixed Points and Coupled Best Proximity Points in Modular Function Spaces
2018 · Atanas Ilchev, Boyan Zlatanov · International Journal of Pure and Apllied Mathematics · 3
On an application of coupled best proximity points theorems for solving systems of linear equations
2018 · Atanas Ilchev · AIP conference proceedings · 3
Beyond Discourse Expansion: A Linguistic Enrichment Framework for Academic Language Development
2026 · Valentin Georgiev, Atanas Ilchev, et al. · Preprints.org · 2
Applications of N-Tupled Fixed Points in Partially Ordered Metric Spaces for Solving Systems of Nonlinear Matrix Equations
2025 · Aynur Ali, Miroslav Hristov, et al. · Mathematics · 2
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Tripled Fixed Points, Obtained by Ran-Reunrings Theorem for Monotone Maps in Partially Ordered Metric Spaces
2025 · Aynur Ali, Cvetelina Dinkova, et al. · Mathematics · 2
Best Proximity Points for p–Cyclic Infimum Summing Contractions
2023 · Miroslav Hristov, Atanas Ilchev, et al. · Axioms · 2
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Existence of Coupled Best Proximity Points of p-Cyclic Contractions
2021 · Miroslav Hristov, Atanas Ilchev, et al. · Axioms · 2
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On the Best Proximity Points for p–Cyclic Summing Contractions
2020 · Miroslav Hristov, Atanas Ilchev, et al. · Mathematics · 2
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A Local Fixed Point Theorem for Multivalued Mappings in Strong Partial b-Metric Spaces with Potential Applications to Language Dynamics
2026 · Atanas Ilchev, Vanya Ivanova, et al. · Axioms · 1
Finite-Observation Conditional Guarded Language Operators: Kannan Contractions Beyond Banach Contractivity
2026 · Artan F. Alidema, Atanas Ilchev, et al. · AppliedMath · 1
Ultrametric Convergence of Guarded Automata and Applications to Structural Input Validation
2026 · Ilchev, Atanas, Kiskinov, Hristo, et al. · arXiv (Cornell University) · 1
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A variational principle and triple fixed points
2025 · Laura Ajeti, Atanas Ilchev · AIP conference proceedings · 1
A variational principle, fixed points and coupled fixed points on $$\mathbb {P}$$ sets
2024 · Valentin Georgiev, Atanas Ilchev, et al. · Journal of Fixed Point Theory and Applications · 1
Coupled Fixed Points in Partial Metric Spaces
2023 · Atanas Ilchev, Diana Nedelcheva-Arnaudova · Geometry Integrability and Quantization · 1
Works count: 37
Citation count: 105
H-index: 4
I10-index: 2
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