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FIXED POINT THEOREMS FOR SOME GENERALIZED CONTRACTIVE MAPS IN b-METRIC SPACES

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (4)

In this paper, we present a generalization and improvement of some recent results by Gornicki regarding some generalized contractive mappings. We esta......

HYBRID SPLITTING ALGORITHM FOR GENERALIZED EQUILIBRIUM PROBLEMS AND MONOTONE OPERATORS IN HILBERT SPACE

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

In this paper, the solutions of a finite family of generalized equilibrium problems and the zero points of an inverse-strongly monotone operator and a......

A NEW ITERATIVE ALGORITHM FOR APPROXIMATION OF FIXED POINTS OF MULTIVALUED GENERALIZED alpha-NONEXPANSIVE MAPPINGS

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

The purpose of this paper is to propose a new iteration process to approximate fixed points of multivalued generalized a-nonexpansive mappings. Some w......

CHARACTERIZATIONS OF OPTIMAL SOLUTION SETS FOR DC OPTIMIZATION PROBLEMS IN LOCALLY CONVEX SPACES

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

In this paper, we consider the characterizations of optimal solution sets for DC optimization problem in locally convex spaces. We first introduce a m......

SELF-ADAPTIVE INERTIAL SHRINKING PROJECTION ALGORITHMS FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

In this paper, we construct two fast iterative methods to solve pseudomonotone variational inequalities in real Hilbert spaces. The advantage of the s......

ESTIMATES OF THE FOURTH HANKEL DETERMINANT FOR A CLASS OF ANALYTIC FUNCTIONS WITH BOUNDED TURNINGS INVOLVING CARDIOID DOMAINS

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

In this paper, we consider a family of normalized analytic functions with bounded turnings in the open unit disk U, which are connected with the cardi......

VISCOSITY TYPE ALGORITHM FOR ZEROS OF MONOTONE OPERATORS IN HADAMARD SPACES WITH APPLICATION TO OPTIMIZATION

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

The purpose of this article is to propose a viscosity type algorithm for solving the problem of finding zeros of monotone operators in Hadamard spaces......

ITERATIVE METHODS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF BREGMAN RELATIVELY NON-EXPANSIVE MAPPINGS IN BANACH SPACES

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

In this paper, we study a hybrid iterative algorithm for finding a common solution of a system of equilibrium problems and a fixed point problem of a ......

QUALITATIVE PROPERTIES OF SOLUTIONS TO SOME HARDY AND HENON TYPE PROBLEMS INVOLVING THE FRACTIONAL p-LAPLACIAN

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (4)

In this paper, we study qualitative properties of solutions to Hardy type problems and Henon type problems involving the fractional p-Laplacian. Symme......

A NEW FRACTIONAL NONLINEAR SYSTEM DRIVEN BY A QUASI-HEMIVARIATIONAL INEQUALITY WITH AN APPLICATION

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

yThis paper deals with a new fractional nonlinear system described by a fractional nonlinear differential equation and a quasi-hemivariational inequal......

A WEAK CONVERGENCE THEOREM FOR SOLVING THE SPLIT COMMON FIXED POINT PROBLEM IN TWO BANACH SPACES AND APPLICATIONS

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (4)

In this paper, we consider the split common fixed point problem in two Banach spaces. Using the idea of Mann's iteration, we prove a weak convergence ......

WEAK CONVERGENCE AND STRONG CONVERGENCE OF NONMONOTONIC EXPLICIT ITERATIVE METHODS FOR SOLVING EQUILIBRIUM PROBLEMS

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (3)

Many iterative schemes have already been put in place to solve the problem of equilibrium, one of which is the most efficient extragradient method. In......

MANN AND TSHIKAWA ITERATIVE PROCESSES FOR CYCLIC RELATIVELY NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX BANACH SPACES

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (4)

In this manuscript, we study the convergence of best proximity points for cyclic relatively nonexpansive mappings in the setting of uniformly convex B......

NON-EXISTENCE OF POSITIVE SOLUTIONS OF WEIGHTED LANE-EMDEN SYSTEM

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (4)

Liouville type results for positive solutions (u, v) E [C2(IN \ {0}) n C (RN)] x [C2(RN \ nc (RN)] (N > 3) of the weighted Lane-Emden system {div(I......

SUBMARTINGALE PROPERTY OF SET-VALUED STOCHASTIC INTEGRATION ASSOCIATED WITH POISSON PROCESS AND RELATED INTEGRAL EQUATIONS ON BANACH SPACES

期刊: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021; 22 (4)

In an M-type 2 Banach space, firstly we explore some properties of the set-valued stochastic integral associated with the stationary Poisson point pro......

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