In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using notion of k-ellipse on metric space. For purpose, are inspired by Caristi type mapping, Kannan contraction, Chatterjea contraction and Ćirić contraction. After that, give some existence uniqueness theorems fixed k-ellipse. We also support our obtained with illustrative examples. Finally, pr...

This paper has two aspects. Mathematically, in the context of global optimization, it provides existence an optimum a perturbed optimization problem that generalizes celebrated Ekeland variational principle and equivalent formulations (Caristi, Takahashi), whenever perturbations need not satisfy triangle inequality. Behaviorally, is continuation recent rationality approach stay (stop) change (g...

There are a lot of fixed and common fixed point results in different types of spaces. For example, metric spaces, fuzzy metric spaces, and uniform spaces. One of the most interesting is partial metric space, which is defined by Matthews 1 . In partial metric spaces, the distance of a point in the self may not be zero. After the definition of partial metric space, Matthews proved the partial met...

In this article, we study Feng-Liu [Fixed point theorems for multi-valued contractive mappings and Caristi type mappings, J. Math. Anal. Appl. 317 (2006), 103-112.] fixed present some new results in metric spaces using the concept of ?-distance. We also discuss, non-trivial examples to illustrate facts. Finally, applications our integral inclusions non-linear matrix equations. An example is giv...

Abstract In the paper, we apply some of results from theory ball spaces in semimetric setting. This allows us to obtain fixed point theorems which believe be unknown this day. As a byproduct, equivalence different notions completeness where distance function is 1-continuous. second part article, generalize Caristi–Kirk for b -metric spaces. Additionally, characterization semicompleteness 1-cont...

for all x, y ∈ X . Then there exists a unique fixed point x0 ∈ X of T . This theorem, called the Banach contraction principle, is a forceful tool in nonlinear analysis. This principle has many applications and is extended by several authors: Caristi [2], Edelstein [5], Ekeland [6, 7], Meir and Keeler [14], Nadler [15], and others. These theorems are also extended; see [4, 9, 10, 13, 23, 25, 26,...

Numerous papers have been published which deal with the occurrence of heavy metals in the various components of freshwater ecosystems (Radwan et al. 1990; Scanferlato and Cairns 1990; Hintelmann et al. 1993) and sewage treatment systems (Yetis and Gokcay 1989; Cimino and Caristi 1990; Dilek and Yetis 1992; Melcer et al. 1992; Moriyama et al. 1992). However, only a few papers refer to the presen...