Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces
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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
Keywords
- Menger space
- compatible mappings
- reciprocally continuity
- occasionally weakly compatible mappings
- subcompatible mappings
- subsequentially continuity.
MSC
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