Fixed point theorems in the study of operator equations in ordered Banach spaces and their applications



	Fixed point theorems in the study of operator equations in ordered Banach spaces and their applications


	Fixed Point Theory, Volume 22, No. 2, 2021, 761-778, July 1st, 2021 DOI: 10.24193/fpt-ro.2021.2.49 Authors: Salima Mechrouk Abstract: We use fixed point index properties and the general minorant principle (see Theorem 7.B in [12]) to prove new fixed point theorems for operators leaving invariant a cone in a Banach space. Main ideas of this work are inspired from the work in [11]. The results obtained are used to prove existence of at least one positive solution to a φ-laplacian boundary value problem. Key Words and Phrases: Cones, fixed point theory, positive solution, general minorant principle, boundary value problem. 2010 Mathematics Subject Classification: 47H10, 47H11, 34B15. Published on-line: July 1st, 2021. Abstract pdf Fulltext pdf Back to volume's table of contents