Fixed point theorems in b-metric spaces and their applications to non-linear fractional differential and integral equations

Zada, Mian Bahadur; Sarwar, Mohammed; Tunç, Cemil

doi:10.1007/s11784-018-0510-0

Cited by 14 publications

(9 citation statements)

References 16 publications

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“…With the help of b-metric space, the presence of a unique solution for a nonlinear fractional differential equation is given with an integral boundary condition. Biology, physical science, and economics such real-life problems eventually lead to the linear fractional differential equation and integral equation [20][21][22]. Further extension of b-metric space can be seen in the paper of Chauhan and Kaur [23].…”

Section: B-metricmentioning

confidence: 99%

Study of Metric Space and Its Variants

Chauhan

Garg

Thakur

2022

Journal of Mathematics

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Section: B-metricmentioning

confidence: 99%

Study of Metric Space and Its Variants

Chauhan

Garg

Thakur

2022

Journal of Mathematics

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“…In 2016, certain fixed point theorems for four maps in b-metric spaces were proved by Ozturk and Radenović [8] by applying the b-(E.A) property. After that, various researchers worked in different directions, and several remarkable results about the presence of common fixed points for single-valued and multi-valued mappings in b-metric spaces were obtained ( [9][10][11][12][13][14][15][16]). In a recent development, common fixed points for four self maps satisfying (CLR) Property in b metric space was obtained [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

An Affirmative Fixed Point Result on b-Metric Spaces using (CLR) Property

Rao¹,

Dixit

2023

J. Sci. Res.

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This study aims to show that four maps in a b-metric space that satisfy pairwise weak compatibility have common fixed points under certain conditions. In the main results of this paper, (CLR) property is employed, and common fixed points for four weakly compatible mappings are established. All our findings are backed up by befitting examples. Our results generalize and extend certain previous findings in the literature.

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“…therein). For some special applications, see, e.g., [8,9]. General reviews are given in [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Polyadic Rings of p-adic Integers

Duplij¹

2022

Preprint

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In this note we, first, recall that the sets of all representatives of some special ordinary residue classes become $\left( m,n\right) $-rings. Second, we introduce a possible $p$-adic analog of the residue class modulo a $p$-adic integer. Then, we find the relations which determine, when the representatives form a $\left( m,n\right) $-ring. At the very short spacetime scales such rings could lead to new symmetries of modern particle models.

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Fixed point theorems in b-metric spaces and their applications to non-linear fractional differential and integral equations

Cited by 14 publications

References 16 publications

Study of Metric Space and Its Variants

Study of Metric Space and Its Variants

An Affirmative Fixed Point Result on b-Metric Spaces using (CLR) Property

Polyadic Rings of p-adic Integers

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