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Your search keyword '"Savas, Ekrem"' showing total 9 results
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9 results on '"Savas, Ekrem"'

1. A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems.

Author

Javed, Khalil, Asif, Awais, and Savas, Ekrem

Subjects
METRIC spaces, CONCRETE
Abstract

The article generalizes the notion of orthogonal fuzzy metric space into a broader term, named as orthogonal picture fuzzy metric space. The obtained results improve and extend the idea of the orthogonal fuzzy metric space and its related results. However, this article outstretches the above-mentioned notion further into a newly defined concept, named as orthogonal picture fuzzy metric space. A detailed insight is given into the topic by presenting some fixed point results in the frame of the newly defined structure. To elaborate the results more precisely, some concrete examples are given. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Some variants of Wardowski fixed point theorem.

Author

Nazam, Muhammad, Aydi, Hassen, Park, Choonkil, Arshad, Muhammad, Savas, Ekrem, and Shin, Dong Yun

Subjects
METRIC spaces, CONTRACTIONS (Topology)
Abstract

The purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are extensions of several ones existing in the literature. Moreover, we present examples and an application to support our results. [ABSTRACT FROM AUTHOR]

Published
2021
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3. Common fixed point results for general contractive inequality of integral type on GMMS.

Author

Manav, Nesrin, Turkoglu, Duran, Abdeljawad, Thabet, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif

Subjects
FIXED point theory, INTEGRAL inequalities, METRIC spaces, GENERALIZED spaces, GENERALIZED integrals
Abstract

We prove common fixed point theorems for mappings satisfying a general contractive inequality of integral type for generalized metric spaces. Our results extend of the theorem of Branciari (2002) constitutionally and we provide some examples in support of our results. [ABSTRACT FROM AUTHOR]

Published
2020
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4. Periodic point results for Boyd-Wong contraction mappings on partial metric spaces.

Author

Aslantas, Mustafa, Bachay, Ali Hüssein, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan

Subjects
FIXED point theory, METRIC spaces, LITERATURE
Abstract

In this paper, we prove some periodic point results on partial metric spaces. Thus, we generalize famous results existing in the literature such as Boyd-Wong fixed point theorem and Banach fixed point theorem. [ABSTRACT FROM AUTHOR]

Published
2020
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5. Abel statistical delta quasi Cauchy sequences in metric spaces.

Author

Taylan, Iffet, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan

Subjects
CAUCHY sequences, SEQUENCE spaces, METRIC spaces
Abstract

In this paper, we investigate the concept of Abel statistical delta ward compactness and Abel statistical delta ward continuity in metric spaces. A function f defined on a metric space X into X is called Abel statistically delta ward continuous it preserves Abel statistical delta quasi Cauchy sequences, where a sequence (xk) of points in X is called Abel statistically delta quasi Cauchy if lim x → 1 − (1 − x) ∑ k : | d (x k + 2 , x k + 1 − d (x k + 1 , x k ) | ≥ ε x k = 0 for every ε > 0, Some other types of compactnesses are also studied and interesting results are obtained. [ABSTRACT FROM AUTHOR]

Published
2020
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6. Some Ćirić type periodic point results with Q-function on quasi metric spaces.

Author

Sahin, Hakan, Turkoglu, Duran, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif

Subjects
METRIC spaces
Abstract

In this paper, we proved a Ciric type periodic point result with a Q-function on quasi metric spaces. We also give an illustrative example to show the effectiveness of our main result. [ABSTRACT FROM AUTHOR]

Published
2020
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7. MINIMIZATION THEOREMS IN FM-SPACES.

Author

RASHID, M. H. M. and SAVAS, EKREM

Subjects
*FIXED point theory, *METRIC spaces, *FUZZY sets, *MATHEMATICAL mappings, *PROBLEM solving
Abstract

The purpose of this paper is to study the existence problems of fixed points for multi-valued mappings and minimization theorems in fuzzy metric spaces. [ABSTRACT FROM AUTHOR]

Published
2017

8. Weak Partial b-Metric Spaces and Nadler's Theorem.

Author

Kanwal, Tanzeela, Hussain, Azhar, Kumam, Poom, and Savas, Ekrem

Subjects
HAUSDORFF spaces, METRIC spaces, SPACE, SET-valued maps, TOPOLOGY
Abstract

The purpose of this paper is to define the notions of weak partial b-metric spaces and weak partial Hausdorff b-metric spaces along with the topology of weak partial b-metric space. Moreover, we present a generalization of Nadler's theorem by using weak partial Hausdorff b-metric spaces in the context of a weak partial b-metric space. We present a non-trivial example which show the validity of our result and an application to nonlinear Volterra integral inclusion for the applicability purpose. [ABSTRACT FROM AUTHOR]

Published
2019
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9. Best Proximity Point Results for Generalized Θ-Contractions and Application to Matrix Equations.

Author

Ma, Zhenhua, Hussain, Azhar, Adeel, Muhammad, Hussain, Nawab, and Savas, Ekrem

Subjects
GENERALIZATION, METRIC spaces, NONLINEAR systems, FIXED point theory, NUMERICAL analysis
Abstract

In this paper, we introduce the notion of C ´ iri c ´ type α - ψ - Θ -contraction and prove best proximity point results in the context of complete metric spaces. Moreover, we prove some best proximity point results in partially ordered complete metric spaces through our main results. As a consequence, we obtain some fixed point results for such contraction in complete metric and partially ordered complete metric spaces. Examples are given to illustrate the results obtained. Moreover, we present the existence of a positive definite solution of nonlinear matrix equation X = Q + ∑ i = 1 m A i ∗ γ (X) A i and give a numerical example. [ABSTRACT FROM AUTHOR]

Published
2019
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