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More general common fixed point theorems under a new concept

Bouhadjera H

Demonstratio Mathematica

2016

Vol. 49, nr 1

64--78

A general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this result is thereby obtained. Our results assert the existence and uniqueness of common fixed points in several cases.

Some common fixed point theorems for occasionally weakly compatible mappings satisfying implicit relation and contractive modulus

Bouhadjera H, Popa V.

Fasciculi Mathematici

2013

Nr 51

53--60

In this note, we prove some common fixed point theorems for occasionally weakly compatible mappings satisfying an implicit relation and a contractive modulus.