Fixed Point Theorems for Basic Θ-Contraction and Applications
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Abstract
The main aim of this paper is omitting some superfluous assumptions in the definition of the class of functions Theta, by means of which were defined and studied various classes of theta-contractions, and still obtaining the uniqueness of the fixed point for this new type of contractive mappings. Several generalizations of continuous theta-contractions are presented along with their applications to the study of integral equations.
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Keywords
Theta-Contraction, Continuous Theta-Contraction, Js-Contraction, Generalized Metric Space, Fixed Point, Nonlinear Contraction, Θ-contraction, Continuous θ-Contraction, Fixed-point theorems, nonlinear contraction, fixed point, Fixed-point and coincidence theorems (topological aspects), Volterra integral equations, JS-contraction, \(\theta\)-contraction, generalized metric space, continuous \(\theta\)-contraction
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1
Volume
40
Issue
3
Start Page
789
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804
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