New class of cyclic contraction and fixed point results in b -metric spaces

Vishal Gupta; A. H.  Ansari; Naveen Mani; Naveen  Sharma

doi:10.5269/bspm.75981

Vishal Gupta Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India http://orcid.org/0000-0001-9727-2827
A. H. Ansari Karaj Branch, Islamic Azad University, Karaj, Iran
N. Mani Chandigarh University, Mohali, Punjab, India
Naveen Sharma

Abstract

Notion of C-class cyclic contractive mapping is introduced in this communication. Further a new fixed point result in b-metric spaces is investigated and as applications of our main results we have deduce some corollaries. Examples are also given here to notify the importance and novelty of our main result.

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Author Biographies

Vishal Gupta, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India

Professor,

Department of Mathematics

A. H. Ansari, Karaj Branch, Islamic Azad University, Karaj, Iran

Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

N. Mani, Chandigarh University, Mohali, Punjab, India

Associate Professor, Department of Mathematics, Chandigarh University, Mohali, Punjab, India

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