Matematik Bölümü

Permanent URI for this communityhttps://hdl.handle.net/20.500.12416/412

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Citation - Scopus: 3
A Fixed Point Theorem Without a Picard Operator
(Cankaya University, 2021) Karapınar, E.
In this short note, we propose a fixed point theorem in the setting of a Banach space without using a Picard operator. © 2021, Cankaya University. All rights reserved.
Citation - Scopus: 40
Interpolative Kannan-Meir Type Contraction
(DergiPark, 2021) Karapınar, E.
In this short manuscript, we revisit the renowned contraction’s of Meir-Keeler by involving the interpolation theory in the context of complete metric space. We provide a simple example to illustrate the validity of the observed result. © 2021, DergiPark. All rights reserved.
Citation - Scopus: 9
An Open Discussion: Interpolative Metric Spaces
(DergiPark, 2023) Karapınar, E.
The main goal of this paper is to introduce a new abstract structure (so called, interpolative metric space) as a generalization of a standard metric space. We shall consider the analog of Banach Mapping Principle in the context of this new structure. © 2023, DergiPark. All rights reserved.
Citation - Scopus: 7
A Survey on Interpolative and Hybrid Contractions
(Springer, 2021) Karapınar, E.
In this chapter, we consider the distinct hybrid type contractions in various abstract spaces. In this work, hybrid contraction refers to combination of not only linear and nonlinear contractions, but also interpolative contractions. The main goal of the chapter is to clarify the metric fixed point theory literature by using the hybrid type contractions that unify several well-known results. © 2021, Springer Nature Switzerland AG.

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Browsing Matematik Bölümü by Institution Author "Karapınar, E."