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In this article, we demonstrate some fixed point results that generalises the Banach contraction principle in a different way from the previously established literature findings. We provide some fixed point findings for nonlinear F type contractions in Strong Partial b-Metric Spaces (SPbMS). We also include some examples that demonstrates the applicability of our findings. [ABSTRACT FROM AUTHOR]

In this study, PPF dependent fixed point theorems are proved for a nonlinear operator, where the domain space C[[a,b], E] is distinct from the range space, E, which is a Strong Partial b-metric space (SPbMS). We obtain existence and uniqueness of PPF dependent fixed point results for the defined mappings under SPbMS. Our results are the extension of fixed point results in SPbMS. Examples are provided in the support of results. [ABSTRACT FROM AUTHOR]

We establish a new fixed point theorem in the setting of convex b-metric spaces that ensures the existence of fixed point for Cirić contraction with the assumption k < 1 s 2 . Also, the fixed point is approximated by Krasnoselskij iterative procedure. Moreover, we discuss the stability of fixed point for the aforesaid contraction. As a consequence, we develop a common fixed point and coincidence point result. Finally, we provide a number of examples to illustrate the findings presented here and incorporate these findings to solve an initial value problem. [ABSTRACT FROM AUTHOR]

We present a significant example to show that the class of v-generalized b-metric spaces properly contains the class of v-generalized metric spaces as well as b-metric spaces. This is accomplished because the example provided by Došenović et al. (2020) is insufficient to expose the generality of v-generalized b-metric spaces over the existing related spaces. Therefore, we establish fixed point theorems by defining generalized almost contractions of rational type and Reich type in v-generalized b-metric spaces. Moreover, we compare the proven results with the already existing fixed point theorems in this space by presenting suitable examples. As a consequence of these fixed point theorems, we further develop some common fixed-point results that ensure the existence and uniqueness of coincidence points and common fixed points for a pair of self maps. Finally, we use the outcome to check that the given Fredholm integral equation has a solution and that it is also unique. [ABSTRACT FROM AUTHOR]

The aim of this manuscript is to propose a contraction to pursue the existence of g-best proximity point results. The finding of this manuscript generalize and unify the results of Rohen and Mlaiki by using the new contraction with P-property and prove the existence and uniqueness of quadruple best proximity point alongwith an example. [ABSTRACT FROM AUTHOR]

In this paper, some results are concerning the existence and uniqueness of invariant point with PPF dependence of a non linear mapping for θ - φ contraction and θ - φ Suzuki contraction in the complete metric space and setting of complete metric spaces. The new feature of this work is that the domain and range space of operator are not identical in question. The results provided in this research are on PPF dependent invariant points which are broaden and expand invariant point results by Mohamed Jleli and Bassem Samet [6] and Dingwei Zheng, Zhangyong Cai and Pei Wang [5]. [ABSTRACT FROM AUTHOR]

In this work, the concept of almost contraction for multi-valued mappings in the setting of cone metric spaces is defined and then we establish some fixed point and common fixed point results in the set-up of cone metric spaces. As an application, some invariant approximation results are obtained. The results of this paper extend and improve the corresponding results of multi-valued mapping from metric space theory to cone metric spaces. Further our results improve the recent result of Arshad and Ahmad (Sci. World J. 2013:481601, 2013). [ABSTRACT FROM AUTHOR]

A common fixed point theorem for generalized (φ, ϕ, L)f, g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished. [ABSTRACT FROM AUTHOR]

The aim of this paper is to present the point of coincidence and common fixed point for three mappings in cone metric spaces over normal cone which satisfy a different contractive condition. Our result generalizes the recent related results proved by Stojan Radenović (2009) and Rangamma and Prudhvi (2012). [ABSTRACT FROM AUTHOR]

We establish a fixed point theorem for Cirić contraction in the context of convex b-metric spaces. Furthermore, we ensure that there is a fixed point for the maps satisfying the condition (B) (a kind of almost contraction) in convex b-metric spaces and demonstrate its uniqueness as well. Supporting examples to substantiate the generality of the proved results are given. [ABSTRACT FROM AUTHOR]

This paper aims to prove fixed point results for cyclic compatible contraction and Hardy–Rogers cyclic contraction in symmetric spaces. Our results generalize the results of Kumari and Panthi (2016) proved for cyclic compatible contraction and modified Hardy–Rogers cyclic contraction in the generating space of a b-quasi metric family and b-dislocated metric family. After that, as an application, we prove a fixed point result in symmetric pre-probabilistic metric spaces (PPM-spaces). [ABSTRACT FROM AUTHOR]