Nonlinear Functional Analysis in Banach Spaces and Banach Algebras

Abstract

Fixed Point Theory Fundamentals Basic Tools in Banach Spaces Contraction Mappings Weak Topology Measure of Weak Noncompactness (MNWC) Basic Tools in Banach Algebras Elementary Fixed Point Theorems Positivity and Cones Fixed Point Theory under Weak Topology Fixed Point Theorems in DP Spaces and Weak Compactness Banach Spaces and Weak Compactness Fixed Point Theorems and MNWC Fixed Point Theorems for Multi-valued Mappings Some Leray-Schauder's Alternatives Fixed Point Theory in Banach Algebras Fixed Point Theorems Involving Three Operators WC-Banach Algebras Leray-Schauder's Alternatives in Banach Algebras Involving Three Operators Convex-Power Condensing Operators ws-Compact and omega-Convex-Power Condensing Maps Fixed Point Theory for BOM on Banach Spaces and Banach Algebras Some Variants of Schauder's and Krasnosel'skii's Fixed Point Theorems for BOM Fixed Point Theory under Weak Topology Features Fixed Point Theorems for BOM in Banach Algebras Fixed Point Results in a Regular Case BOM with Multi-Valued Inputs Applications in Mathematical Physics and Biology Existence of Solutions for Transport Equations Transport Equations in the Kinetic Theory of Gas Transport Equations Arising in Growing Cell Population Existence of Solutions for Nonlinear Integral Equations Existence of Solutions for Hammerstein's Integral Equation A Study of Some FIEs in Banach Algebras Existence Results for FDEs in Banach Algebras An Application of Leray-Schauder's Theorem to FIEs Two-Dimensional Boundary Value Problems A System of Transport Equations in Lp (1 ) A Study of a Biological Coupled System in L1 A Coupled Functional Integral System in Banach Algebras A Coupled System in Banach Algebras under the Condition (P) Nonlinear Equations with Unbounded Domain Differential Inclusions