Geodesic
Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces
Chauhan, Sunny1 ; Pant, B. D.2
1 Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246701, Uttar Pradesh, India
2 Government Degree College, Champawat-262523, Uttarakhand, India
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 2, p. 78-89.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.007.02.02
Classification : 47H10, 54H25
Keywords: Menger space, compatible mappings, reciprocally continuity, occasionally weakly compatible mappings, subcompatible mappings, subsequentially continuity.

Chauhan, Sunny 1 ; Pant, B. D. 2

1 Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246701, Uttar Pradesh, India
2 Government Degree College, Champawat-262523, Uttarakhand, India 
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Chauhan, Sunny; Pant, B. D. Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 2, p. 78-89. doi : 10.22436/jnsa.007.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.02.02/

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