Some convergence results in modular spaces with application to a system of integral equations

Authors: Abdurrahman Büyükkaya, Mudasir Younis, Dilek Kesik, Mahpeyker Öztürk

Source: AIMS Mathematics, Vol 9, Iss 11, Pp 31030-31056 (2024)

Subject Terms: fixed point, partial modular $ b- $metric, proinov type contraction, fredholm integral equation, Mathematics, QA1-939

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Relation: https://doaj.org/toc/2473-6988

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On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application

Authors: Abdurrahman Büyükkaya, Mahpeyker Öztürk

Source: Communications in Advanced Mathematical Sciences, Vol 7, Iss 1, Pp 27-41 (2024)

Subject Terms: common fixed point, dynamic programming, modular $b-$metric space, proinov type mappings, simulation functions, Mathematics, QA1-939

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Relation: https://dergipark.org.tr/tr/download/article-file/3638419; https://doaj.org/toc/2651-4001

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Mathematical Modeling of Fractals via Proximal F-Iterated Function Systems

Authors: Muhammad Zahid, Fahim Ud Din, Mudasir Younis, Haroon Ahmad, Mahpeyker Öztürk

Source: Axioms, Vol 13, Iss 12, p 881 (2024)

Subject Terms: fractals, proximal F − iterated function system, metric space, best proximity point, Mathematics, QA1-939

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Relation: https://www.mdpi.com/2075-1680/13/12/881; https://doaj.org/toc/2075-1680

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New Studies for Dynamic Programming and Fractional Differential Equations in Partial Modular b-Metric Spaces

Authors: Abdurrahman Büyükkaya, Dilek Kesik, Ülkü Yeşil, Mahpeyker Öztürk

Source: Fractal and Fractional, Vol 8, Iss 12, p 724 (2024)

Subject Terms: fixed point, partial modular b-metric, binary relation, fractional differential equations, dynamic programming, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

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Relation: https://www.mdpi.com/2504-3110/8/12/724; https://doaj.org/toc/2504-3110

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Some Results on Multivalued Proximal Contractions with Application to Integral Equation

Authors: Muhammad Zahid, Fahim Ud Din, Mudasir Younis, Haroon Ahmad, Mahpeyker Öztürk

Source: Mathematics, Vol 12, Iss 22, p 3488 (2024)

Subject Terms: rectangular metric space, alternating distance, ℱ-contraction, coincidence best proximity point, Mathematics, QA1-939

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Relation: https://www.mdpi.com/2227-7390/12/22/3488; https://doaj.org/toc/2227-7390

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Fixed-point results via $ \alpha_{i}^{j} $-$ \left({\bf D}_{{\mathscr{C}}}\left(\mathfrak{P}_{\hat E}\right)\right) $-contractions in partial $ \flat $-metric spaces

Authors: Leyla Sağ Dönmez, Abdurrahman Büyükkaya, Mahpeyker Öztürk

Source: AIMS Mathematics, Vol 8, Iss 10, Pp 23674-23706 (2023)

Subject Terms: common fixed-point, partial $ \flat $-metric space, $ \alpha $-admissibility, geraghty contraction, $ e $-contraction, comparison function, $ \mathcal{f} $-contraction, Mathematics, QA1-939

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Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/3262325ee7624aafaac03dacef327971

Convergence of Graph-Based Fixed Point Results with Application to Fredholm Integral Equation

Authors: Haroon Ahmad, Aqsa Riaz, Mahpeyker Öztürk, Fahim Ud Din, Mehmet Emir Köksal, Ekber Girgin

Source: Mathematics, Vol 12, Iss 20, p 3226 (2024)

Subject Terms: directed graph, fixed point, graphic contraction, graphically controlled metric-type space, Fredholm integral equation, Mathematics, QA1-939

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Relation: https://www.mdpi.com/2227-7390/12/20/3226; https://doaj.org/toc/2227-7390

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Analysis of Caputo-Type Non-Linear Fractional Differential Equations and Their Ulam–Hyers Stability

Authors: Ekber Girgin, Abdurrahman Büyükkaya, Neslihan Kaplan Kuru, Mudasir Younis, Mahpeyker Öztürk

Source: Fractal and Fractional, Vol 8, Iss 10, p 558 (2024)

Subject Terms: fixed point, quasi-modular b-metric space, Ulam–Hyers stability, fractional differential equation, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

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Relation: https://www.mdpi.com/2504-3110/8/10/558; https://doaj.org/toc/2504-3110

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On the Impact of Some Fixed Point Theorems on Dynamic Programming and RLC Circuit Models in R-Modular b-Metric-like Spaces

Authors: Ekber Girgin, Abdurrahman Büyükkaya, Neslihan Kaplan Kuru, Mahpeyker Öztürk

Source: Axioms, Vol 13, Iss 7, p 441 (2024)

Subject Terms: fixed point, simulation functions, modular metric-like space, dynamic programming, electric circuit equation, Mathematics, QA1-939

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Relation: https://www.mdpi.com/2075-1680/13/7/441; https://doaj.org/toc/2075-1680

Access URL: https://doaj.org/article/461ee9bd9ae24fcf814a905701514961

Fixed point theorems of new generalized C-conditions for ( psi; gamma)-mappings in modular metric spaces and its applications

Authors: Hami Gündoğdu, Mahpeyker Öztürk, Ömer Faruk Gözükızıl

Source: Nonlinear Analysis, Vol 28 (2023)

Subject Terms: fixed point theorem, modular metric space, C-condition, (psi, gamma)-mappings, Cauchy problem, Analysis, QA299.6-433

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Relation: https://zurnalai.vu.lt/nonlinear-analysis/article/view/32711; https://doaj.org/toc/1392-5113; https://doaj.org/toc/2335-8963

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On Modified Interpolative Almost E−Type Contraction in Partial Modular b−Metric Spaces

Authors: Dilek Kesik, Abdurrahman Büyükkaya, Mahpeyker Öztürk

Source: Axioms, Vol 12, Iss 7, p 669 (2023)

Subject Terms: interpolative contraction, simulation function, partial modular b − metric space, Mathematics, QA1-939

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Relation: https://www.mdpi.com/2075-1680/12/7/669; https://doaj.org/toc/2075-1680

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Modified Suzuki-Simulation Type Contractive Mapping in Non-Archimedean Quasi Modular Metric Spaces and Application to Graph Theory

Authors: Ekber Girgin, Mahpeyker Öztürk

Source: Mathematics, Vol 7, Iss 9, p 769 (2019)

Subject Terms: non-Archimedean quasi modular metric space, θ-contraction, Suzuki contraction, simulation contraction, Mathematics, QA1-939

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Relation: https://www.mdpi.com/2227-7390/7/9/769; https://doaj.org/toc/2227-7390

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Common Fixed Point Theorems Satisfying Contractive Type Conditions in Complex Valued Metric Spaces

Authors: Mahpeyker Öztürk

Source: Abstract and Applied Analysis, Vol 2014 (2014)

Subject Terms: Mathematics, QA1-939

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Relation: https://doaj.org/toc/1085-3375; https://doaj.org/toc/1687-0409

Access URL: https://doaj.org/article/7531b64e9f6b4cf79dff67ff66ef71f5

On Some Generalized Bm-Difference Riesz Sequence Spaces and Uniform Opial Property

Authors: Mahpeyker Öztürk, Metin Başarır

Source: Journal of Inequalities and Applications, Vol 2011 (2011)

Subject Terms: Mathematics, QA1-939

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Relation: https://doaj.org/toc/1025-5834; https://doaj.org/toc/1029-242X

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A novel approach to the convergence analysis of chaotic dynamics in fractional order Chua’s attractor model employing fixed points

Authors: Mudasir Younis, Haroon Ahmad, Mahpeyker Ozturk, Deepak Singh

Source: Alexandria Engineering Journal, Vol 110, Iss , Pp 363-375 (2025)

Subject Terms: Extended suprametric space, Ciric contraction, Reich contraction, ℱ-type contraction, Gupta–Saxena contraction, Chua’s attractors, Engineering (General). Civil engineering (General), TA1-2040

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Relation: http://www.sciencedirect.com/science/article/pii/S1110016824011566; https://doaj.org/toc/1110-0168

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Convergence results for controlled contractions and applications to a system of Volterra integral equations

Authors: Lifang Guo, Mudasir Younis, Haroon Ahmad, Mahpeyker Özturk, Fahim Ud Din, Shahbaz Ahmad

Source: Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)

Subject Terms: Common fixed point, dislocated controlled metric type space, rational contraction, Volterra integral equation, 47H10, 47J25, Mathematics, QA1-939, Engineering (General). Civil engineering (General), TA1-2040

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Relation: https://doaj.org/toc/2769-0911

Access URL: https://doaj.org/article/9cd59ccaab36418e8aa781d5efec7d53