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A generalization of Matthews partial metric space and fixed point theorems

Antal A., Gairola U. C., Khantwal D., Matkowski J., Negi S.

Fasciculi Mathematici

2021

nr 65

5--15

In the present paper, we introduce the notion of a generalized partial metric space which is an extension of the partial metric space due to S. G. Matthews (Partial metric topology, Papers on general topology and applications, Ann. New York Acad. Sci.,728 (1994), 183-197). We investigate some basic properties of the generalized partial metric spaces and establish some new fixed point theorems for linear and non-linear contraction on such spaces.

Co-ordinatewise R-weakly commuting maps and fixed point theorem on product spaces

Gairola U. C., Jangwan P. S.

Demonstratio Mathematica

2003

Vol. 36, nr 4

939--949

In this paper we establish a fixed point theorem for two systems of maps on finite product of Banach spaces by introducing co-ordinatewise R-weakly commuting maps. Our result includes fixed point theorem of Gregus [7], Fisher-Sessa [4], Jungck [9] and Singh et al. [21].