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Weak contraction mappings in Saks spaces

Murthy P. P., Tas K., Choudhary B S

Fasciculi Mathematici

2012

Nr 48

83--95

The intent of this note is to prove some fixed point and common fixed theorems in a Saks spaces by introducing a weaker inequality analogue to Albert and Delabriere [1]. We have also introduced a control functions which is certainly weaker contraction condition available in the literature of Metric Fixed Point Theory and Applications.

A fixed point theorem in Banach spaces over topological semifields and an application

Pathak H., Lakshmi V., Tas K., Fisher B.

Demonstratio Mathematica

1999

Vol. 32, nr 1

139-143

A fixed point theorem for three mappings on a Banach space x over a topological semifield is proved. An application is given for the solvability of certain non-linear functional equations in X.