Theory and Application of Fixed Point

• Other Authors: Karapinar, Erdal (Editor), Martínez-Moreno, Juan (Editor), Erhan, Inci M. (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: Research & information: general; Mathematics & science; common coupled fixed point; bv(s)-metric space; T-contraction; weakly compatible mapping; quasi-pseudometric; start-point; end-point; fixed point; weakly contractive; variational inequalities; inverse strongly monotone mappings; demicontractive mappings; fixed point problems; Hadamard spaces; geodesic space; convex minimization problem; resolvent; common fixed point; iterative scheme; split feasibility problem; null point problem; generalized mixed equilibrium problem; monotone mapping; strong convergence; Hilbert space; the condition (ℰμ); standard three-step iteration algorithm; uniformly convex Busemann space; compatible maps; common fixed points; convex metric spaces; q-starshaped; fixed-point; multivalued maps; F-contraction; directed graph; metric space; coupled fixed points; cyclic maps; uniformly convex Banach space; error estimate; equilibrium; fixed points; symmetric spaces; binary relations; T-transitivity; regular spaces; b-metric space; b-metric-like spaces; Cauchy sequence; pre-metric space; triangle inequality; weakly uniformly strict contraction; S-type tricyclic contraction; metric spaces; b2-metric space; binary relation; almost ℛg-Geraghty type contraction
• Online Access: DOAB: download the publication; DOAB: description of the publication

In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and fractional integral equations (FIE). Indeed, FDE and...