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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.29 No.4

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δ-­convex Structure on Rectangular Metric Spaces concerning Kannan­-type Contraction and Reich­-type Contraction

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2022, v.29 no.4, pp.293-306
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.293
Sharma, Dileep Kumar
Tiwari, Jayesh
Sharma,, D. K. , & Tiwari,, J. (2022). δ-­convex Structure on Rectangular Metric Spaces concerning Kannan­-type Contraction and Reich­-type Contraction. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(4), 293-306, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.293

Abstract

In the present paper, we introduce the notation of 𝛿-convex rectangular metric spaces with the help of convex structure. We investigate fixed point results concerning Kannan-type contraction and Reich-type contraction in such spaces. We also propound an ingenious example in reference of given new notion.

keywords
<tex> ${\delta}$</tex>-convex structure, rectangular metric space, Kannan-type contraction, Reich-type contraction, fixed point

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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