Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Α-Ψ Contracting Perimeters of Triangles(Yokohama Publ, 2025) Shahi, Priya; Bilazeroglu, Seyma; Yalcin, CeylanThis work presents an advanced development of the newly established idea of "contracting perimeters of triangles". Our current strategy, constructed with the help of functions alpha and Psi, both covers existing research and yields new results. The "alpha-Psi-mapping contracting perimeters of triangles" concept is defined in this study. The differences between this concept and the contracting perimeters of triangles is illustrated with examples. Fixed point theorems are obtained for this type of mappings under some conditions.Article Citation - WoS: 2A Fixed Point Theorem for Ciric Type Contraction on Interpolative Metric Spaces(Yokohama Publ, 2024) Bilazeroglu, Seyma; Yalcin, CeylanThe purpose of this paper is is aimed at establishing a fixed point result in the framework of interpolative metric spaces, which has just been designated as a new research topic to prevent congestion in fixed point theory.Article Citation - WoS: 2Citation - Scopus: 3Existence and Attractivity Results on Semi-Infinite Intervals for Integrodifferential Equations With Non-Instantaneous Impulsions in Banach Spaces(Ovidius Univ Press, 2024) Bensalem, Abdelhamid; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, ErdalIn this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder's fixed point theorem. Moreover, we show that solutions of our problem are attractive. Finally, an example is given to validate the theory part.Article Citation - Scopus: 3Existence Results for Impulsive Fractional Neutral Integro-Differential Equations With Nonlocal Conditions(Natural Sciences Publishing USA, 2018) Leelamani, A.; Baleanu, D.; Arjunan, M.M.; Sivasankari, A.We present a new prospective of the existence of a mild solution for impulsive fractional neutral integro-differential equations with nonlocal conditions in Banach spaces. In light of ideas for Banach contraction principle and Krasnoselskii-Schaefer's fixed point theorem, we build up the existence results with resolvent operator and h-norm. At last, a case is given to represent the acquired outcomes. © 2018 NSP Natural Sciences Publishing Cor.Article Citation - WoS: 2Citation - Scopus: 2Existence Results for an Impulsive Neutral Integro-Differential Equations in Banach Spaces(Ovidius Univ Press, 2019) Baleanu, Dumitru; Arjunan, Mani Mallika; Usha, VenkateshIn this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.Article Citation - WoS: 14Citation - Scopus: 14Exact Controllability of Fractional Neutral Integro-Differential Systems With State-Dependent Delay in Banach Spaces(Sciendo, 2016) Arjunan, M. Mallika; Kailasavalli, S.; Baleanu, D.; Suganya, S.; Kalamani, PalaniyappanIn this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integrodifferential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.