A fixed point theorem involving Boyd-Wong type cyclic contractions in partial metric spaces is proved. We also provide examples to support concepts and results presented herein.

and Applied Analysis 3 The purpose of this paper is to generalize the above results using an ICS mapping T : X → X and involving some generalized weak contractions of Boyd-Wong-type 31 . Also, some examples are presented to show that our results are effective. 2. Main Result First, denote by Φ the set of functions φ : 0, ∞ → 0, ∞ satisfying a φ t < t for all t > 0, b φ is upper semicontinuous f...

Considering the ω-distance function defined by Kostić in proximity space, we prove Matkowski and Boyd–Wong fixed-point theorems space using ω-distance, provide some examples to explain novelty of our work. Moreover, characterize Edelstein-type theorem compact space. Finally, investigate an existence uniqueness result for solution a kind second-order boundary value problem via obtained Matkowski...

We proved that a finite commuting Boyd-Wong type contractive family with equicontinuous words have the approximate common fixed point property. We also proved that given X Ă R, compact and convex subset, F : X Ñ X a compact-and-convex valued Lipschitz correspondence and g an isometry on X, then gF “ F g implies F admits a Lipschitz selection commuting with g.

The purpose of this paper is to prove Boyd-Wong and Matkowski type fixed point theorems in orthogonal metric space which was defined by M.E. Gordji 2017 an extension the space. Some examples are established support our main results. Finally, we apply results establish existence a unique solution periodic boundary value problem.

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...