Fixed point results for a generalized class of simulation functions with applications

2017/08/22 by Deepesh Kumar Patel, Pradip Ramesh Patle, Patel, D. K. +5
Engineering · Mathematics · Physics and Astronomy · #47H10 #54H25 #Advanced Differential Geometry Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.1708.06514

openalex publication_date 2017/08/22 · openalex created_date 2017/08/31 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a wider class of simulation functions and present some coincidence and common fixed point results in metric spaces. Results obtained in this paper extend, generalize and unify some well-known fixed and common fixed point results. Some illustrative examples are presented. We also discuss some applications to system of integral equations and functional equations arising in dynamic programming.

Citations

• Some Remarks Concerning Contraction Mappings

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• Fixed-Point Theorems in b-Metric Spaces via a Novel Simulation Function
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• Geometric Properties of Fixed Points and Simulation Functions