fuzzy resolvent equation with $h(cdot,cdot)$-$phi$-$eta$-accretive operator in banach spaces

Fuzzy resolvent equation with $H(cdot,cdot)$-$phi$-$eta$-accretive operator in Banach spaces

In this paper, we introduce and study fuzzy variational-like inclusion, fuzzy resolvent equation and $H(cdot,cdot)$-$phi$-$eta$-accretive operator in real  uniformly smooth Banach spaces. It is established that fuzzy variational-like inclusion is equivalent to a fixed point problem as well as to a fuzzy resolvent equation. This equivalence is used to define an iterative algorithm for solving fu...

H-Accretive Operators Resolvent Operator Technique Solving Variational Inclusions in Banach Spaces

K e y w o r d s H a c c r e t i v e operator, Resolvent operator technique, Variational inclusion, Iterative algorithm. 1. I N T R O D U C T I O N A N D P R E L I M I N A R I E S Variational inequalities and variational inclusions are among the most interesting and important mathematical problems and have been studied intensively in the past years since they have wide applications in mechanics,...

ON MULTIVALUED NONLINEAR VARIATIONAL INCLUSION PROBLEMS WITH (A, eta)-ACCRETIVE MAPPINGS IN BANACH SPACES

Based on the notion of (A,η)-accretive mappings and the resolvent operators associated with (A,η)-accretive mappings due to Lan et al., we study a new class of multivalued nonlinear variational inclusion problemswith (A,η)-accretivemappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlinear variational inclusion problems involving (A,η)-ac...

A Hybrid Proximal Point Algorithm for Resolvent operator in Banach Spaces

Equilibrium problems have many uses in optimization theory and convex analysis and which is why different methods are presented for solving equilibrium problems in different spaces, such as Hilbert spaces and Banach spaces. The purpose of this paper is to provide a method for obtaining a solution to the equilibrium problem in Banach spaces. In fact, we consider a hybrid proximal point algorithm...

Random variational-like inclusion and random proximal operator equation for random fuzzy mappings in Banach spaces

In this paper, we introduce and study a random variational-like inclusion and its corresponding random proximal operator equation for random fuzzy mappings. It is established that the random variational-like inclusion problem for random fuzzy mappings is equivalent to a random fixed point problem. We also establish a relationship between random variational-like inclusion and random proximal ope...

A three-step iterative scheme for solving nonlinear φ-strongly accretive operator equations in Banach spaces