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On the conjecture of Schauder

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  1. Article

    Open Access

    Leray-Schauder-type fixed point theorems in Banach algebras and application to quadratic integral equations

    In this paper, we present new fixed point theorems in Banach algebras relative to the weak topology. Our fixed point results are obtained under Leray-Schauder-type boundary conditions. These results improve an...

    Abdelmjid Khchine, Lahcen Maniar in Fixed Point Theory and Applications (2016)

  2. Article

    Open Access

    Fixed point theorems for multivalued map**s in ordered Banach spaces with application to integral inclusions

    This paper provides new common fixed point theorems for pairs of multivalued and single-valued map**s operating between ordered Banach spaces. Our results lead to new existence theorems for a system of integ...

    Nawab Hussain, Mohamed-Aziz Taoudi in Fixed Point Theory and Applications (2016)

  3. Article

    Open Access

    Some fixed point theorems for \((\alpha,\psi)\) -rational type contractive map**s

    In this paper, we introduce the concept of ( α ...

    Hamed H Alsulami, Sumit Chandok, Mohamed-Aziz Taoudi in Fixed Point Theory and Applications (2015)

  4. Article

    Open Access

    Krasnosel’skii-type fixed point theorems with applications to Volterra integral equations

    In this paper we present some fixed point results for the sum S + ...

    Nawab Hussain, Mohamed Aziz Taoudi in Fixed Point Theory and Applications (2013)

  5. Article

    Open Access

    Fixed Point Theorems for ws-Compact Map**s in Banach Spaces

    We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given ...

    RaviP Agarwal, Donal O'Regan, Mohamed-Aziz Taoudi in Fixed Point Theory and Applications (2010)

  6. Article

    Open Access

    Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces

    We present some fixed point theorems for the sum of a weakly-strongly continuous map and a nonexpansive map on a Banach space ...

    RaviP Agarwal, Donal O'Regan, Mohamed-Aziz Taoudi in Fixed Point Theory and Applications (2010)