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: 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 (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. 한국수학교육학회지시리즈B:순수및응용수학, 29(4), 293-306, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.293

복사

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

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논문 상세

Vol.29 No.4

&#x1D6FF;-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

Abstract

한국수학교육학회지시리즈B:순수및응용수학

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