Coincident and common fixed point theorems using comparison and admissible function in w-distance metric space

Subject Areas : Fixed point theory

S. Arora ¹ , M. Masta ²

1 - Department of Mathematics, K.R.M.D.A.V. College, Nakodar, District Jalandhar (Affilated to Guru Nanak Dev University, Amritsar), Punjab, 144040, India
2 - Department of Mathematics, Om Sterling Global University, NH-52, Hisar-Chandigarh Road, Hisar, Haryana, 125001, India

Received: 2021-10-01 Accepted : 2021-12-30 Published : 2021-12-30

Keywords: w-distance map‎, ‎coincident point‎, ‎common fixed point, ‎generalized $(eta‎, ‎chi‎, ‎p)$ contractive mapping‎,

Abstract :

‎In this manuscript‎, ‎the concept of generalized $(\eta‎, ‎\chi‎, ‎p)$ contractive mapping for two maps in the framework of w-distance is introduced and some fixed point results are established, which extend recent results of Lakzian and Rhoades [5] and many existing results in the literature‎. ‎In addition‎, ‎to validate the novelty of our findings‎, ‎we give an illustrative example‎, ‎which yields the main result‎. ‎Moreover‎, ‎as an application‎, ‎we employ the achieved result to earn the existence criteria of the‎ ‎solution of a type of non-linear Fredholm integral equation‎.

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