Common fixed point theorems for generalized contractive mappings in an $F$cone metric space over a Banach algebra

Roy, Kushal; Saha, Mantu

doi:10.26637/mjm0704/0020

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2023

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Cited by 2 publications

(1 citation statement)

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“…One of those is the concept of b-metric spaces which was introduced by Czerwik [6] in 1993. The concepts of metric and b-metric structures have been generalized in many ways (see [3,4,10,15,16,17,18,19,20,21,22,23]). Branciari [5] presented rectangular metric space in 2000, another such generalized metric structure, where the triangle inequality had been replaced by a so-called quadrilateral or rectangular inequality.…”

Section: Introductionmentioning

confidence: 99%

Controlled v-generalized metric type space and some fixed point theorems with application

Roy,

Saha,

Parvaneh

et al. 2023

Preprint

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In this article, the concept of controlled v-generalized metric type space is introduced as a generalization of b v (s)-metric spaces and controlled metric type spaces. Some fixed point theorems are proved for Banach orbital contractions and Bianchini type contractions over such spaces. Several examples are given in respect of our new metric type structure and established theorems. In addition, we use our fixed point theorems to find solutions to nonlinear integral equations. AMS subject classification (2020): 47H10; 54H25.

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Section: Introductionmentioning

confidence: 99%

Controlled v-generalized metric type space and some fixed point theorems with application

Roy,

Saha,

Parvaneh

et al. 2023

Preprint

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Fixed point theorem on an orthogonal extended interpolative $ \psi\mathcal{F} $-contraction

Dhanraj

Gnanaprakasam

Mani

et al. 2023

MATH

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<abstract><p>In this paper, we establish the fixed point results for an orthogonal extended interpolative Ciric Reich-Rus type $ \psi\mathcal{F} $-contraction mapping on an orthogonal complete $ \mathfrak{b} $-metric spaces and give an example to strengthen our main results. Furthermore, we present an application to fixed point results to find analytical solutions for functional equation.</p></abstract>

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Common fixed point theorems for generalized contractive mappings in an $F$cone metric space over a Banach algebra

Abstract: This paper is dealt with some common fixed point theorems for generalized contractive mappings in an F−cone metric space over a Banach algebra. Examples have been cited in support of our theorems.

Cited by 2 publications

References 15 publications

Controlled v-generalized metric type space and some fixed point theorems with application

Controlled v-generalized metric type space and some fixed point theorems with application

Fixed point theorem on an orthogonal extended interpolative $ \psi\mathcal{F} $-contraction

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