A Study of Common Fixed Points That Belong To Zeros of a Certain Given Function With Applications
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Abstract
In this paper, we establish some point of phi-coincidence and common phi-fixed point results for two self-mappings defined on a metric space via extended C-G-simulation functions. By giving an example we show that the obtained results are a proper extension of several well-known results in the existing literature. As applications of our results, we deduce some results in partial metric spaces besides proving an existence and uniqueness result on the solution of system of integral equations.
Description
Saleh, Hayel Nasr/0000-0002-8343-4036
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Keywords
Point Of Phi-Coincidence, Common Phi-Fixed Point, Extended C-G-Simulation Functions, Metric Space, Partial Metric Space, Common ϕ-Fixed Point, Point of ϕ-Coincidence, Extended CG-Simulation Functions, Alternative medicine, Metric (unit), Economics, Geometry, Evolutionary biology, Space (punctuation), Mathematical analysis, Fixed Point Theorems in Metric Spaces, Point (geometry), extended CG-simulation functions, FOS: Mathematics, Pathology, Biology, QA299.6-433, Extension (predicate logic), Fixed Point Theorems, metric space, partial metric space, Pure mathematics, point of phi-coincidence, Fixed point, Coincidence, Computer science, Coincidence point, Programming language, Operating system, Operations management, common phi-fixed point, Function (biology), Physical Sciences, Medicine, Geometry and Topology, Uniqueness, Metric space, Analysis, Mathematics, extended \(\mathcal{C}_{\mathcal{G}}\)-simulation functions, Fixed-point theorems, point of \(\varphi\)-coincidence, Fixed-point and coincidence theorems (topological aspects), common \(\varphi\)-fixed point, Systems of nonlinear integral equations, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Saleh, Hayel N.; Imdad, Mohammad; Karapınar, Erdal (2021). "A study of common fixed points that belong to zeros of a certain given function with applications", Nonlinear Analysis-Modelling and Control, Vol. 26, No. 5, pp. 781-800.
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OpenCitations Citation Count
5
Volume
26
Issue
5
Start Page
781
End Page
800
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Scopus : 8
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8
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6
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2
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