Alpha-<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1">
                     <mi>F</mi>
                  </math>-Convex Contraction Mappings in <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2">
                     <mi>b</mi>
                  </math>-Metric Space and a Related Fixed Point Theorem

In this paper, we consider several classes of mappings related to the class of α-ϝ-contraction mappings by introducing a convexity condition and establish some fixed-point theorems for such mappings in complete metric spaces. The present result extends and generalizes the well-known results of Singh, Khan, and Kang (Mathematics, 2018, 6(6), 105), Istra˘tescu (Liberta Math., 1981, 1, 151–163), and many others in the existing literature. An illustrative example is also provided to exhibit the utility of our main results. Finally, we derive the existence and uniqueness of a solution to an integral equation to support our main result and give a numerical example to validate the application of our obtained results.

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A Study on Fixed-Point Techniques under the α-ϝ-Convex Contraction with an Application

Nallaselli

Gnanaprakasam

Mani

et al. 2023

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Alpha- $F$ -Convex Contraction Mappings in $b$ -Metric Space and a Related Fixed Point Theorem

Abstract: In this paper, we establish fixed point theorems for α - F -convex contraction mappings in b -metric space and prove the existence and uniqueness of fixed points for such mappings. Our result extends and generalizes comparable results in the existing lite… Show more

Cited by 1 publication

References 16 publications

A Study on Fixed-Point Techniques under the α-ϝ-Convex Contraction with an Application

A Study on Fixed-Point Techniques under the α-ϝ-Convex Contraction with an Application

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Alpha- F -Convex Contraction Mappings in b -Metric Space and a Related Fixed Point Theorem

Abstract: In this paper, we establish fixed point theorems for α - F -convex contraction mappings in b -metric space and prove the existence and uniqueness of fixed points for such mappings. Our result extends and generalizes comparable results in the existing lite… Show more

Cited by 1 publication

References 16 publications

A Study on Fixed-Point Techniques under the α-ϝ-Convex Contraction with an Application

A Study on Fixed-Point Techniques under the α-ϝ-Convex Contraction with an Application

Contact Info

Product

Resources

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Alpha- $F$ -Convex Contraction Mappings in $b$ -Metric Space and a Related Fixed Point Theorem