Quadratic Inequality for Obtaining Fixed Point Using Property (E.A) in Menger Spaces

Jyotsana Majumdar; Koti N.V.V. Vara Prasad

doi:10.22342/jims.28.3.1179.304-315

Jyotsana Majumdar ⁽¹⁾ , Koti N.V.V. Vara Prasad ⁽²⁾

(1) Guru Ghasidas Vishwavidyalaya(A Central University), Bilaspur (C.G.), India,

(2) Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur (C.G.), India

https://doi.org/10.22342/jims.28.3.1179.304-315

Issue
VOLUME 28 NUMBER 3 (NOVEMBER 2022)

Submitted
March 9, 2022

Accepted
December 11, 2022

Published
November 30, 2022

Keywords:

Menger space, compatible map, occasionally weakly compatible maps, property (E.A), common property (E.A), common fixed point

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Abstract

In this paper, we establish some common fixed point theorems for two pairs of self-mappings by using the notion of occasionally weakly compatible/common property (E.A) using an inequality involving quadratic terms in Menger PM-space and these results are partially extend the some known results in the literature.

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References

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Authors

Jyotsana Majumdar

Guru Ghasidas Vishwavidyalaya(A Central University), Bilaspur (C.G.)

jyotsana.majumdar@gmail.com (Primary Contact)

Koti N.V.V. Vara Prasad

Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur (C.G.)

Majumdar, J., & Prasad, K. N. V. (2022). Quadratic Inequality for Obtaining Fixed Point Using Property (E.A) in Menger Spaces. Journal of the Indonesian Mathematical Society, 28(3), 304–315. https://doi.org/10.22342/jims.28.3.1179.304-315