Coincident and common fixed point theorems using comparison and admissible function in w-distance metric space
محورهای موضوعی : Fixed point theory
S. Arora
1
(Department of Mathematics, K.R.M.D.A.V. College, Nakodar, District Jalandhar (Affilated to Guru Nanak Dev University, Amritsar), Punjab, 144040, India)
M. Masta
2
(Department of Mathematics, Om Sterling Global University, NH-52, Hisar-Chandigarh Road, Hisar, Haryana, 125001, India)
کلید واژه: w-distance map, coincident point, common fixed point, generalized $(eta, chi, p)$ contractive mapping,
چکیده مقاله :
‎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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