Geodesic
Fixed point theorems in modular vector spaces
Abdou, Afrah A. N.1 ; Khamsi, Mohamed A.2
1 Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21593, Saudi Arabia
2 Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968, U.S.A;Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4046-4057.

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

In this work, we initiate the metric fixed point theory in modular vector spaces under Nakano formulation. In particular, we establish an analogue to Banach contraction principle, Browder and G¨ohde fixed point theorems for nonexpansive mappings in the modular sense. Then we finish by proving a common fixed point result of a commutative family of nonexpansive mappings in the modular sense.
DOI : 10.22436/jnsa.010.08.01
Classification : 47H09, 46B20, 47H10
Keywords: Best approximant, electrorheological fluids, fixed point, modular vector spaces, Nakano, nonexpansive, uniformly convex.

Abdou, Afrah A. N. 1 ; Khamsi, Mohamed A. 2

1 Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21593, Saudi Arabia
2 Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968, U.S.A;Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 
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Abdou, Afrah A. N.; Khamsi, Mohamed A. Fixed point theorems in modular vector spaces. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4046-4057. doi : 10.22436/jnsa.010.08.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.08.01/

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