Special Session 8: Differential, Difference, and Integral Equations: Techniques and Applications

Fixed point theorems in orders metric and Banach spaces based on degree of nondensifiability and applications
Abdelghani Ouahab
University of Djillali Liabes Sidi Bel Abbes
Algeria
Co-Author(s):    
Abstract:
Using the concept of the degree of nondensifiability in ordered metric and Banach spaces, we establish fixed point theorems for monotone operator contractions with respect to the degree of nondensifiability and condensing mappings. Our results extend and unify several classical and recent results available in the literature. Furthermore, we apply the main results to study the existence of minimal maximal mild solutions for certain classes of semilinear differential equations.