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WELL-POSEDNESS AND PERIODIC POINT PROPERTY OF MAPPINGS SATISFYING A RATIONAL INEQUALITY IN AN ORDERED COMPLEX VALUED METRIC SPACE


M. ABBAS, B. FISHER, T. NAZIR

Issue:

SSRSMI, Number 1, Volume XXII

Section:

Volume 22, Number 1

Abstract:

Azam, Fisher and Khan [A. Azam, B. Fisher and M. Khan, Common fi xed point theorems in complex valued metric spaces, Numerical Functional Analysis and Optimization, 32(3)(2011), 243-253] introduced a notion of complex valued metric space and obtained common fixed point result for mappings in the context of complex valued metric spaces. In this paper, employing the concept of weakly increasing mappings, the existence of common fixed points is obtained in an ordered complex valued metric space. We apply our results to study well-posedness of a common fixed point problem for two rational type contractive mappings and a periodic point property of mapping involved therein.

Keywords:

weakly increasing map, Common fi xed point, Well-posedness, Periodic point, Complex valued metric spaces.

Code [ID]:

SSRSMI201201V22S01A0001 [0003645]

Full paper:

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