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This paper consists of fixed point result on ω-order preserving partial contraction mapping (ω-OCPn) in semigroup of linear operator. [ABSTRACT FROM AUTHOR]

In this paper, we prove some fixed point theorems for certain rational-type contractive maps in ordered metric spaces. An exam- ple is given to support our results which extend some works in the literature. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new generalized (α k, θ)-contractive multi-valued mapping in b-metric space, Our results generalize and extend several known results of metric. We provide an example to show the superiority of our results over corresponding fixed point results proved in b-metric spaces. In addition, we use our results to present an application. [ABSTRACT FROM AUTHOR]

In this paper, we establish and prove some common fixed points for self-maps in a complete cone metric space that generalize and improve earlier results in the literature. [ABSTRACT FROM AUTHOR]

Banach's fixed point theorem gives a general criterion for the iteration procedure of a function to yield a fixed point. As a result, many researchers introduced several fixed point theorems for a given function under different conditions and spaces. The main objective of this study is to present and investigate two fixed point theorems related to two different contractive mappings in addition to some theoretical results concerning fuzzy metric spaces. We also explore heir relationship with nonfuzzy or crisp metric spaces. The fixed point theorems are based on the distance function between fuzzy points. [ABSTRACT FROM AUTHOR]

In this note, we introduce the concept of partial Ab-metric space by generalising the concepts of partial metric space, b-metric space and partial A-metric spaces. Further, we prove some fixed point theorems in partial Ab-metric space. By giving examples we also show that partial Ab-metric space is generalization of partial A-metric space. [ABSTRACT FROM AUTHOR]

In this work, the existence and uniqueness of solutions, boundedness of solutions and stability of zero solution of a specific neutral differential equations of first order with multiple time delays are discussed by the fixed point method. An example is given to show the applicability of the results introduced. By this work, we aim to extend and improve some previous results can be found in the literature and to do a contribution to the subject and the literature. [ABSTRACT FROM AUTHOR]