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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2022, v.29 no.4, pp.293-306
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.293
Sharma, Dileep Kumar (Department of Mathematics, Government Polytechnic College, Department of Technical Education)
Tiwari, Jayesh (Department of Computer Science, Shri Vaishnav Institute of Management, Devi Ahilya University)
Sharma, Dileep Kumar, & Tiwari, Jayesh. (2022). 𝛿-CONVEX STRUCTURE ON RECTANGULAR METRIC SPACES CONCERNING KANNAN-TYPE CONTRACTION AND REICH-TYPE CONTRACTION. , 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

한국수학교육학회지시리즈B:순수및응용수학

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