Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations

Gautam, Pragati; Kaur, Chanpreet

doi:10.1007/s12215-022-00789-w

Cited by 6 publications

(3 citation statements)

References 34 publications

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“…And proved that in the framework of partial metric space (X, ∂), a mapping S, characterized as an interpolative Reich-Rus-Ćirić type contraction, possesses a fixed point. Additionally, noteworthy contributions have been made by several authors [12][13][14][15][16], further enriching this area of study.…”

Section: Introductionmentioning

confidence: 99%

Unified interpolative of Reich–Rus– Ćirić type contraction in relational metric space with an application

Prasad,

Mishra,

Mitrovic

et al. 2024

Preprint

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In this paper, we introduce the notion of unified interpolative contractions of the Reich–Rus– Ćirić type and give some results about the fixed pointsfor these mappings in the framework of relational metric spaces. We present examples where the results of some previous research are not relevant. Also, weapply our results to solving problems related to nonlinear matrix equations, emphasizing their practical importance Mathematics Subject Classification (2010). 47H10, 54H25

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Section: Introductionmentioning

confidence: 99%

Unified interpolative of Reich–Rus– Ćirić type contraction in relational metric space with an application

Prasad,

Mishra,

Mitrovic

et al. 2024

Preprint

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“…In 2022, Kim [18] studied the existence of a coupled fixed point in Hilbert space. Also, Gautam et al [11] introduced the notion of interpolative Matkowski-type contraction, and they obtained the solution for the nonlinear matrix equations. Therefore, there are many achievements for enthusiasts, look, for example, [6, 8-10, 19-22, 28, 29, 33].…”

Section: Introductionmentioning

confidence: 99%

Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space

Lo'Lo'¹,

Shams

Sen

2023

NAMC

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In a recent paper, Khojasteh et al. presented a new collection of simulation functions, said Z-contraction. This form of contraction generalizes the Banach contraction and makes different types of nonlinear contractions. In this article, we discuss a pair of nonlinear operators that applies to a nonlinear contraction including a simulation function in a partially ordered metric space. For this pair of operators with and without continuity, we derive some results about the coincidence and unique common fixed point. In the following, many known and dependent consequences in fixed point theory in a partially ordered metric space are deduced. As well, we furnish two interesting examples to explain our main consequences, so that one of them does not apply to the principle of Banach contraction. Finally, we use our consequences to create a solution for a particular type of nonlinear integral equation.

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“…Aydi et al 25 proved an interpolative Ćirić-Reich-Rus type contractions via the Branciari distance. Gautam et al 26 proved the fixed point of interpolative Rus-Reich-Ćirić contraction mapping on rectangular quasi-partial b -metric space.…”

Section: Introductionmentioning

confidence: 99%

Fixed point theorems for relation-theoretic F-interpolative in branciari distance with an application

Wangwe

2023

PAIJ

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Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations

Cited by 6 publications

References 34 publications

Unified interpolative of Reich–Rus– Ćirić type contraction in relational metric space with an application

Unified interpolative of Reich–Rus– Ćirić type contraction in relational metric space with an application

Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space

Fixed point theorems for relation-theoretic F-interpolative in branciari distance with an application

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