Search

In this paper, we introduce the new idea of α-C-class function and establish new fixed point results in a complete metric space. It can be stated that the results that have come into being give substantial generalizations and improvements of several well known results in the existing comparable literature. [ABSTRACT FROM AUTHOR]

The purpose of this article, we consider the existence of a unique best proximity point x* ∊ A such that d(x*, Tx*) = dist(A,B) for generalized φ-weak contraction mapping T : A → B, where A,B(6≠, θ) are subsets of a metric space (X, d): [ABSTRACT FROM AUTHOR]

In this paper, we introduce the new idea of α-C-class function and establish new fixed point results in a complete metric space. It can be stated that the results that have come into being give substantial generalizations and improvements of several well known results in the existing comparable literature. [ABSTRACT FROM AUTHOR]

In this article, following the approach of F-contractions, we establish a common fixed point theorem for a pair of self-mappings satisfying F-contraction of rational type in complete metric spaces. An example is constructed to illustrate this result. An application to system of integral equations is presented. [ABSTRACT FROM AUTHOR]

In this paper, we prove some fixed point results for generalized con-tractive multimaps with respect to generalized distance. Consequently, several known fixed point results either generalized or improved including the corresponding recent fixed point results of Ciric, BinDehaish-Latif, Latif-Albar, Klim-Wardowski, Feng-Liu. [ABSTRACT FROM AUTHOR]

The aim of this paper is to establish some new fixed point results for Ćirić type α-η-GF-contraction in a complete metric space. We extend the concept of F-contraction and introduce the notion Ćirić type α-η-GF-contraction. An example is given to demonstrate the novelty of our work. [ABSTRACT FROM AUTHOR]

Let (X, ≤) be a partially ordered set and d be a metric on X such that (X; d) is a complete metric space, g : X → X be a mapping. In the paper, we introduce a new concept of mixed comparable property with respect to g, and obtain some tripled coincidence point theorems for such a class of mappings with this property. Our results generalize and extend the work of V. Berinde and M. Borcut [V. Berinde, M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (2011) 4889{4897]. Moreover, some examples are given to support our results. [ABSTRACT FROM AUTHOR]