The aim of this paper is to present common fixed point results quasi-weak commutative mappings on a closed ball in the framework multiplicative metric spaces. Example presented support result proved herein. We also study sufficient conditions for existence solution boundary value problem. Our extend and improve various recent existing literature.

Abstract Sedghi et al. (Mat. Vesn. 64(3):258-266, 2012) introduced the notion of a S -metric as generalized metric in 3-tuples $S:X^{3} \rightarrow[0,\infty)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>S</mml:mi> <mml:mo>:</mml:mo> <mml:msup> <mml:mi>X</mml:mi> <mml:mn>3</mml:mn> </mml:msup> <mml:mo>→</mml:mo> <mml:mo>[</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>∞</mml:mi> <mml:mo>)</mml:mo> </mml:math> , where X is nonempty set. The aim this paper to...

Abstract In this paper, we introduce a new iterative scheme by hybrid method and prove strong convergence theorem of common element in the set fixed points finite family closed quasi-Bregman strictly pseudocontractive mappings solutions to system equilibrium problems reflexive Banach space. Our results extend important recent announced many authors. MSC: 47H09, 47J25.

Abstract In this paper, using a multistep iterative scheme, we establish strong and Δ-convergence theorems for finite families of total asymptotically quasi-nonexpansive mappings in uniformly convex hyperbolic spaces. We then Δ- polar convergence nonexpansive CAT(0) These new are extensions, improvements, generalizations some recently announced results by many authors.

We prove a new strong convergence theorem for an element in the intersection of set common fixed points countable family nonexpansive mappings, solutions some variational inequality problems, and equilibrium problems using iterative scheme. Our generalizes improves recent results.

Let K be a nonempty closed convex subset of real Hilbert space H1. Ti:K→CB(K), i=1,2,…,N N multivalued strictly pseudocontractive mappings. In this paper, we introduce new hybrid subgradient method for finding common point in the set fixed points finite family pseudocontractions, solution class pseumonotone equilibrium problem and split feasibility problem. Weak strong convergence iterative sequence are established. Our result is generalization improvement several recent results.

In this paper, we study the split common fixed point problem in reflexive Banach spaces, obtain a strong convergence theorem for approximating solution of Bregman demigeneralized mapping.Our result extend and improve important recent results announced by many authors.

Split variational inclusion problems are core and useful technique that connects many important in nonlinear analysis. This paper proposes a resolvent‐based superiorization method for solving split problems, some strong convergence theorems proved under mild conditions. Superiorization iterative procedures simple yet powerful interlaces two algorithmic the assumption one of procedure called basic algorithm is resilient to disturbances its iterates caused by activities other perturbations....

We introduce a new mixed equilibrium problem with relaxed monotone mapping in reflexive Banach space and prove the existence of solution problem. Using Bregman distance, we concept Bregman<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:math>-mapping for finite family quasiasymptotically nonexpansive mappings show fixed point set id="M2"><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:math>-mapping is common points of<mml:math...

Let be a real Banach space, closed convex nonempty subset of , and asymptotically quasi-nonexpansive mappings with sequences (resp.) satisfying as . sequence in Define by Necessary sufficient conditions for strong convergence the to common fixed point family are proved. Under some appropriate conditions, weak theorems also

Let E be a real q-uniformly smooth Banach space with q ≥ 1 + d . K closed, convex and nonempty subset of E. family nonexpansive self-mappings K. For arbitrary fixed δ ∈ (0, 1) define maps by S i := (1 − δ)I δT where I is the identity map Assume either at least one T 's demicompact or admits weakly sequentially continuous duality map. It proven that point sequence {z t n } converges strongly to common {t in 1), satisfying appropriate conditions. As an application, it iterative {x defined by:...

Let be a real -uniformly smooth Banach space with constant , . and nonexpansive map an -strongly accretive which is also -Lipschitzian, respectively. sequence in that satisfies the following condition: For define iteratively by Then, converges strongly to unique solution of variational inequality problem (search for such all where A convergence theorem related finite family maps proved.

In this paper, a Halpern type iterative scheme for finding common element in the set of fixed points generic 2generalized Bregman nonspreading mappings and solution equilibrium problem have been proposed.We also prove that sequence generated by converges strongly to real reflexive Banach space.Our results improve generalize some announced literature.

Let be a real Banach space satisfying local uniform Opial's condition, whose duality map is weakly sequentially continuous. uniformly asymptotically regular family of nonexpansive semigroup with function . and contractive map. -strongly accretive -strictly pseudocontractive an increasing sequence in let sequences some conditions. For positive number appropriately chosen, defined by , It proved that converges strongly to common fixed point the which also unique solution variational inequality