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COMMON FIXED POINT THEOREMS FOR R-WEAKLY COMMUTING MAPPINGS OF TYPE (Ag) IN UNIFORM SPACES


J. K. KOHLI 1, JEETENDRA AGGARWAL 2
1. Department of Mathematics, Hindu College, University of Delhi, Delhi-110007, India
2. Department of Mathematics, University of Delhi, Delhi-110007, India, email: jitenaggarwal@gmail.com

Issue:

SSRSMI, Number 1, Volume XIX

Section:

Volume 19, Number 1

Abstract:

The notion of R-weak commutativity of type (Ag) and that of compatibility of a pair of self mappings is extended to the framework of uniform spaces and fixed point theorems concerning them are proved. The results obtained in the process generalize several known results in the literature including the recent results of V. Pant, R.P. Pant and others and have a bearing on a problem of B.E. Rhoades.

Keywords:

common fixed point, R-weakly commuting map of type (Ag), compatible map, non-compatible map, Hausdorff uniform space.

Code [ID]:

SSRSMI200901V19S01A0008 [0003013]

Full paper:

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