220 research outputs found
Suzuki-Edelstein Type Contractions Via Auxiliary Functions
No full textKARAPINAR, ERDAL/0000-0002-6798-3254We prove the existence and uniqueness of a fixed point of certain type mapping, extension of Suzuki-Edelstein mapping, in a partially ordered complete metric space. Our results extend, improve, and generalize the existence results on the topic in the literature. We state some examples to illustrate our results.Islamic Azad University, Astara BranchThe first author is supported by Islamic Azad University, Astara Branch
رسالة في إعجاز القرآن البن كمال باشا: دراسة وتحقيق
Get PDFBu makalede, Osmanlı İmparatorluğunun Dokuzuncu Şeyhülislâmı 16. asır Osmanlı ilim ve kültür hayatının en büyük mümessillerinden olan Kemalpaşazâde’nin “Risale fî i’câzi’l-Kur’ân” isimli eserinin tahkikli neşri ve kısa bir incelemesi sunulmaktadır. Müellif, risalesinde Kur’ân’ın mucize oluşunu, onun belâğî özellikleri üzerine inşa etmeyi hedeflemektedir.In this article, we have studied the manuscript treatise of Ninth Shaykh al-Islam of the Ottoman Empire, Kemalpashazade, one of the greatest representatives of the 16th century Ottoman science and culture, entitled “Risale fî İ'câzi'l-Qur'an”. The author has aimed, in this treatise, at building the Quranic miraculous form on its characteristics.تسعى هذه المقالة لتحقيق "رسالة في إعجاز القرآن" البن كمال باشا، شيخ
اإلسالم التاسع لإلمبراطورية العثمانية، وهو يُعّد من أكبر الممثلين للحياة
الثقافية والعلمية العثمانية في العصر السادس عشر. والمؤلف في رسالته
هذه أسس معجزة القرآن على خواصه البالغية
Meir-Keeler Type Contractions on Js-Metric Spaces and Related Fixed Point Theorems
No full textKARAPINAR, ERDAL/0000-0002-6798-3254We introduce two classes of Meir-Keeler type contractions in the framework of JS-metric spaces introduced by Jleli and Samet (2015). For each class, a fixed point result is derived. Some interesting consequences which follow from our obtained results are discussed.King Saud University (Saudi Arabia)The second author extends his appreciation to Distinguished Scientist Fellowship Program (DSFP) at King Saud University (Saudi Arabia)
Nonunique Fixed Point Theorems in Partial Metric Spaces
No full textRomaguera, Salvador/0000-0001-7857-6139; KARAPINAR, ERDAL/0000-0002-6798-3254In this paper we prove the existence of fixed points of certain self-maps in the context of partial metric spaces. In fact, the fixed point theorems presented here can be considered as a continuation, in part, of the works of L. B. Ciric on the existence of fixed points but not uniqueness in the realm of metric spaces. Our results generalize, enrich and improve earlier results on the topic in the literature.Universitat Politecnica de Valencia [PAID-06-12-SP20120471]The second author thanks the support of the Universitat Politecnica de Valencia, Grant PAID-06-12-SP20120471
α-admissible mappings and related fixed point theorems
No full textHussain, Nawab/0000-0001-6585-2202; KARAPINAR, ERDAL/0000-0002-6798-3254In this paper, we prove the existence and uniqueness of a fixed point for certain alpha-admissible contraction mappings. Our results generalize and extend some well-known results on the topic in the literature. We consider some examples to illustrate the usability of our results.King Abdulaziz University, Jeddah; DSR, KAUThis research was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah. The first author acknowledges with thanks DSR, KAU for financial support. The 3rd author is thankful for support of Astara Branch, Islamic Azad University, during this research
Ciric Type Nonunique Fixed Point Theorems on <i>b</I>-metric Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254; Alsulami, Hamed Hamdan/0000-0001-5188-2830;In this paper, inspired the very interesting results of Ciric [20], we investigate the existing non-unique fixed points of certain operators in the context of b-metric spaces. Our main results unify and cover several existing results on the topic in the literature.Ministry of Education, Science and Technological Development, Republic of Serbia [174025]The third author is supported by Grant No. 174025 of the Ministry of Education, Science and Technological Development, Republic of Serbia
Fixed Point Theorems for Generalized (α<sub>*</Sub> - Ψ)-Ciric Contractive Multivalued Operators in <i>b</I>-metric Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this paper we introduce the notion (alpha(*) - psi)- Ciric-type contractive multivalued operator and investigate the existence and uniqueness of fixed point for such a mapping in b-metric spaces. The well-posedness of the fixed point problem and the Ulam-Hyres stability is also studied. (C) 2016 All rights reserved.Romanian National Authority for Scientific Research, CNCS UEFISCDI [PN-II-ID-PCE-2011-3-0094]The first author is supported by a grant of the Romanian National Authority for Scientific Research, CNCS UEFISCDI, project number PN-II-ID-PCE-2011-3-0094
On common fixed points that belong to the zero set of a certain function
No full textShahi, Priya/0000-0001-7743-4753; KARAPINAR, ERDAL/0000-0002-6798-3254We provide sufficient conditions under which the set of common fixed points of two self-mappings f, g : X -> X is nonempty, and every common fixed point of f and g is the zero of a given function phi : X -> [0, infinity). Next, we show the usefulness of our obtained result in partial metric fixed point theory. (C) 2017 All rights reserved.Deanship of Scientific Research at King Saud University [RGP-237]The second author extends his appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group No RGP-237
Ulam-Hyers Stability Results for Fixed Point Problems Via Α-Ψ Mapping in (<i>b</I>)-metric Space
No full textKARAPINAR, ERDAL/0000-0002-6798-3254;We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via alpha-psi-contractive mapping of type-(b) in the framework of b-metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).Romanian National Authority for Scientific Research, CNCS UEFISCDI [PN-II-ID-PCE-2011-3-0094]; Sectoral Operational Programme for Human Resources Development; European Social Fund [POSDRU/107/1.5/S/76841]; Modern Doctoral Studies: Internationalization and InterdisciplinarityThe first author is supported by a grant from the Romanian National Authority for Scientific Research, CNCS UEFISCDI, Project no. PN-II-ID-PCE-2011-3-0094. The last author is supported by the financial support of the Sectoral Operational Programme for Human Resources Development 2007-2013, cofinanced by the European Social Fund, under the Project no. POSDRU/107/1.5/S/76841 with the title Modern Doctoral Studies: Internationalization and Interdisciplinarity
A Note on Caristi-Type Cyclic Maps: Related Results and Applications
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this note, we first introduce the concept of Caristi-type cyclic map and present a new convergence theorem and a best proximity point theorem for Caristi-type cyclic maps. It should be mentioned that in our results, the dominated functions need not possess the lower semicontinuity property. Some best proximity point results and convergence theorems in the literature have been derived from our main results. Consequently, the presented results improve, extend and generalize some of the existence results on the topic.National Science Council of the Republic of China [NSC 102-2115-M-017-001]The first author was supported by Grant No. NSC 102-2115-M-017-001 of the National Science Council of the Republic of China
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