FIXED POINTS OF CHATTERJEA TYPE MULTI-VALUED F-CONTRACTIONS ON CLOSED BALL

Muhammad Nazam, Muhammad Arshad, Aftab Hussain, H. G. Hyun

Abstract


We introduce the notions of Chatterjea type multi-valued F-contraction and Chatterjea type multi-valued (α, η, GF )-contraction on closed ball and obtain two new fixed point theorems for such kind of contractions in complete metric spaces. Some comparative examples are given to illustrate and to show usefulness of these results among famous fixed point theorems on F-contractions.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea