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ON THE FIXED POINT INDEX FOR SUMS OF OPERATORS
Journal article   Open access

ON THE FIXED POINT INDEX FOR SUMS OF OPERATORS

Salim Benslimane, Smail Djebali, Karima Mebarki and Laboratory of Applied Mathematics, Faculty of Exact Sciences, Bejaia University, 06000 Bejaia, Algeria, E-mail: mebarqi_karima@hotmail.fr
FIXED POINT THEORY, Vol.23(1), pp.143-145
02/05/2022
DOI: https://doi.org/10.24193/fpt-ro.2022.1.09

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We have obtained some new Krasoneslskii type fixed point theorems for the sum of two operators T + F, where T is expansive with constant h > 1 and I - F is a k-set contraction with k < h. The existence results are based on a fixed point index for these classes of mappings. Various fixed point theorems are derived in cones and in translates of cones of some Banach spaces. Two examples of application are included to illustrate the theory.
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https://doi.org/10.24193/fpt-ro.2022.1.09View
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