Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces


Authors

Sunny Chauhan - Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246701, Uttar Pradesh, India. B. D. Pant - Government Degree College, Champawat-262523, Uttarakhand, India.


Abstract

In the present paper, we prove common fixed point theorems using the notions of compatibility and subsequentially continuity (alternately subcompatibility and reciprocally continuity) in Menger spaces. We also give a common fixed point theorem satisfying an integral analogue. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Some illustrative examples are also given which demonstrate the validity of our results.


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ISRP Style

Sunny Chauhan, B. D. Pant, Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 2, 78--89

AMA Style

Chauhan Sunny, Pant B. D., Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces. J. Nonlinear Sci. Appl. (2014); 7(2):78--89

Chicago/Turabian Style

Chauhan, Sunny, Pant, B. D.. "Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces." Journal of Nonlinear Sciences and Applications, 7, no. 2 (2014): 78--89


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