Some fixed point results for relation theoretic weak $$\varphi $$-contractions in cone metric spaces equipped with a binary relation and application to the system of Volterra type equations
Sign Up to like & getrecommendations! Published in 2019 at "Positivity"
DOI: 10.1007/s11117-019-00719-8
Abstract: In this paper, some fixed point results for relation theoretic weak \(\varphi \)-contractions on cone metric spaces which is defined over a Banach algebra and equipped with a binary relation are proved. These results extend… read more here.
Keywords: point results; metric spaces; relation theoretic; cone metric ... See more keywords
Fixed Point Results for Fractal Generation in Extended Jungck–SP Orbit
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DOI: 10.1109/access.2019.2951385
Abstract: In this paper, we extend Jungck–SP iteration with $s$ –convexity in second sense and define its orbit. We prove the fixed point results for fractal generation via extended iteration and utilize these results to develop… read more here.
Keywords: tex math; fractal generation; results fractal; fixed point ... See more keywords
Metric-like space and Suzuki type common fixed point results with (W.C.C) condition
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DOI: 10.1142/s1793557120500667
Abstract: The (W.C.C) condition was developed by K.P.R. Rao et al. in 2013 which established common fixed point results in partial metric spaces. By using Hausdorff metric-like space, we obtain Suzuki type common fixed point theorems… read more here.
Keywords: like space; common fixed; point results; point ... See more keywords
Condensing Mappings and Best Proximity Point Results
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DOI: 10.1155/2021/5542994
Abstract: Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It… read more here.
Keywords: proximity point; point results; condensing mappings; best proximity ... See more keywords
Solutions of Integral Equations via Fixed-Point Results on Orthogonal Gauge Structure
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DOI: 10.1155/2021/8387262
Abstract: The main outcome of this paper is to introduce the notion of orthogonal gauge spaces and to present some related fixed-point results. As an application of our results, we obtain existence theorems for integral equations. read more here.
Keywords: solutions integral; point results; orthogonal gauge; integral equations ... See more keywords
Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications
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DOI: 10.1155/2023/2260153
Abstract: Over time, hybrid fixed point results have been examined merely in the framework of classical mathematics. This one way research has clearly dropped-off a great amount of important results, considering the fact that a fuzzy… read more here.
Keywords: intuitionistic fuzzy; fixed point; fuzzy hybrid; point results ... See more keywords
Fixed Point Results of a New Family of Contractions in Metric Space Endowed with a Graph
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DOI: 10.1155/2023/2534432
Abstract: In this note, a general class of contractive inequality, namely, admissible hybrid H − α − ϕ contraction, is proposed in metric space endowed with a graph, and new criteria for which the mapping is… read more here.
Keywords: fixed point; metric space; endowed graph; space endowed ... See more keywords
Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
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DOI: 10.1186/s13660-016-1286-7
Abstract: AbstractIn this article, we apply common fixed point results in incomplete metric spaces to examine the existence of a unique common solution for the following systems of Urysohn integral equations and Volterra-Hammerstein integral equations, respectively:… read more here.
Keywords: results incomplete; point results; metric spaces; incomplete metric ... See more keywords
Some fixed point results on G-metric and Gb-metric spaces
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DOI: 10.1515/dema-2017-0018
Abstract: Abstract The purpose of this paper is to prove some fixed point results using JS-G-contraction on G-metric spaces, also to prove some fixed point results on Gb-complete metric space for a new contraction. Our results… read more here.
Keywords: results metric; point results; metric spaces; metric metric ... See more keywords
Fixed point results for admissible Z-contractions
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DOI: 10.24193/fpt-ro.2018.2.41
Abstract: In this paper, we present some fixed point results in the setting of a complete metric spaces by defining a new contractive condition via admissible mapping embedded in simulation function. read more here.
Keywords: results admissible; point results; point; admissible contractions ... See more keywords
Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation
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DOI: 10.24193/fpt-ro.2019.2.42
Abstract: We consider the notion of generalized c-distance in the setting of ordered cone b-metric spaces and obtain some new fixed point results. Our results provide a more general statement, under which can be unified some… read more here.
Keywords: generalized distance; point results; point; application nonlinear ... See more keywords