We correct the proof of Theorem 6 in the letter ‘‘Fixed point theory for cyclic weak φ-contraction’’ [E. Karapınar, Fixed point theory for cyclic weak φ-contraction, Appl. Math. Lett. 24 (6) (2011) 822–825]. © 2010 Elsevier Ltd. All rights reserved.

The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.

In this paper, we will prove several new results related to the concept of multi-valued Feng–Liu contraction. An existence, approximation and localization fixed point theorem for a generalized nonself contraction contractions in vector-valued metric spaces are proved. Stability an application system operatorial inclusions also given.

Notice that best proximity point results have been studied to find necessaryconditions such that the minimization problemminx∈A∪Bd(x,Tx)has at least one solution, where T is a cyclic mapping defined on A∪B.A point p ∈ A∪B is a best proximity point for T if and only if thatis a solution of the minimization problem (2.1). Let (A,B) be a nonemptypair in a normed...

This note is concerned with the essential part of Finite Element Methods (FEM) approximation error analysis for quasi-Newtonian modelling thixo-viscoplastic (TVP) flow problems. The developed FEM settings thixotropic generalized Navier-Stokes equations based on a constrained monotonicity and continuity coupled system, which cornerstone an efficient monolithic Newton-multigrid solver. manifested...

In this paper, a concept of monotone generalized contraction in partially ordered metric spaces is introduced and some fixed point and common fixed point theorems for the so-called weak contractions are proved. The concept of weak contraction was introduced by Kada, Suzuki and Takahashi [Math. Japonica, 44 (1996), 381-391], in connection to the concept of w-distance on a metric space. The resul...

In this paper we study the existence of common fixed point for r-compatible mapping satisfying a generalized quasi contraction condition integral type in modular spaces Our results extend and generalize Beygmohammadi Razani [4] Moradi [25].

Abstract In this paper, the generalized Kannan-type contraction in cone metric spaces over Banach algebras is introduced. The fixed point theorems satisfying contractive conditions are obtained, without appealing to completeness of X or normality cone. continuity mapping relaxed. Furthermore, we prove that necessary if has a . These results greatly generalize several well-known comparable liter...