In this paper, our focus is to acquaint with the Suzuki-type mappings establish some fixed point results using new w-interpolative approach. We present for interpolative contraction operators via w-admissible maps which satisfy Kannan, ?iri?–Reich–Rus, and Hardy–Rogers contractions in quasi-partial b-metric space. Further, outcomes so obtained are affirmed relevant examples.

In this paper, we unify, extend and generalize some results on coupled fixed point theorems of generalized φ- mappings with some applications to fixed points of integral type mappings in cone metric spaces.  

The idea of enriched mappings in normed spaces is relatively a newer idea. In this paper, we initiate the study modular function spaces. We first introduce concepts ρ-contractions and ρ-Kannan then establish some Banach Contraction Principle type theorems for existence fixed points such setting. Our results are generalizations corresponding from to those contractions ρ-contractions. make ever a...

a common fixed point result for weakly increasing mappings satisfying generalized contractive type of zhang in ordered metric spaces are derived.

This research paper generalizes and extends various fixed-point results that demonstrate common theorems for F -Kannan–Suzuki type mappings in TVS-valued cone metric spaces. The are supported using interpretative exemplifications applications include nonlinear fractional as well two-point periodic ordinary differential equ...

We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. Firstly, we prove a common fixed point result for noncommuting maps. A generalization of Kannan’s fixed point theorem is given in some class of spaces including K-metric spaces.

Recently, the fixed-circle problems have been studied with different approaches as an interesting and geometric generalization. In this paper, we present some solutions to open problem CC: what is (are) condition(s) make any circle C?0,? common fixed for two (or more than two) self-mappings? To do this, modify known contractions which are used in fixed-point theorems such Hardy–Rogers-type cont...

The aim of the paper is to study some generalizations of weakly Kannan and weakly Chatterjea-type contractive mappings in the setting of partial metric spaces. Some important outcomes are stated and proved, extending classic fixed point and best proximity point theorems. Examples are given in order to emphasize the utility of the main results.

Recently, José R. Morales and Edixon Rojas [José R. Morales and Edixon Rojas, Cone metric spaces and fixed point theorems of T -Kannan contractive mappings, Int. J. Math. Anal. 4 (4) (2010) 175–184] proved fixed point theorems for T -Kannan and T -Chatterjea contractions in conemetric spaces when the underlying cone is normal. The aim of this paper is to prove this without using the normality c...