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Authors: LYNA BENZENATI, KARIMA MEBARKI.
Received 23 February 2022; Accepted 22 September 2022. Published Online: 2023-06-14
Published Print: 2023-07-30
pp. 423-438
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The purpose of this work is to establish a new generalized form of the Krasnoselskii type compression-expansion fixed point theorem for a sum of an expansive operator and a completely continuous one. Applications to three non- linear boundary value problems associated to second order differential equations of coincidence type are included to illustrate the main results.
Mathematics Subject Classification (2010): 47H10, 54H25, 34B18.
Keywords: Fixed point, Banach space, cone, expansive mapping, sum of operators, nonlinear boundary value problem, coincidence problems.
