F-Convex Contraction via Admissible Mapping and Related Fixed Point Theorems with an Application
In this paper, we introduce F-convex contraction via admissible mapping in the sense of Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces.
Y. Mahendra Singh +2 more
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On $F$-Weak Contraction of Generalized Multivalued Integral Type Mappings with $alpha $-admissible [PDF]
The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings ...
Vatan Karakaya +2 more
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Some remarks on α-admissibility in S-metric spaces
The concept of α-admissible mapping introduced by Samet et al. (Nonlinear Anal. 75:2154–2165, 2012) has various generalizations. In this paper, we introduce the concept of α s $\alpha _{s}$ -admissible mapping and its various forms by generalizing the ...
Ningthoujam Priyobarta +3 more
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On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces
In this paper, we discuss about various generalizations of α−admissible mappings. Furthermore, we extend the concept of α−admissible to generalize rational α−Geraghty contraction in G−metric space.
N. Priyobarta +3 more
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New Results on F-Contractions in Complete Metric Spaces
The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F-
Jelena Vujaković +4 more
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Some Results on Generalized Pata–Suzuki Type Contractive Mappings
In this work, we establish new fixed point theorems for generalized Pata–Suzuki type contraction via α-admissible mapping in metric spaces and to prove some fixed point results for such mappings. Moreover, we give an example to illustrate our main result.
Merve Aktay, Murat Özdemir
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A different approach to complex valued G b $G_{b}$ -metric spaces
In this work, we introduce a generalized fixed point theorem using a complex C-class function as a new tool in complex valued G b $G_{b}$ -metric spaces.
Ozgur Ege +2 more
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Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces
In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman +1 more
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On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space
The idea of fixed points represents one of the most potent mathematical tools. This paper's main purpose is to introduce a new kind of fuzzy contractive mapping in a fuzzy normed space (briefly space) namely "fuzzy contractive mapping".
Raghad I. Sabri, Buthainah A. A. Ahmed
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Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space
The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation .
Raghad I. Sabri, Buthainah A. A. Ahmed
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