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<p>The purpose of this paper is to investigate the existence of common fixed point for nonlinear semigroups of enriched Ćirić-Reich-Rus contractive mappings on a closed convex subset of a real Banach space equipped with uniformly normal structure. Moreover, we prove a convergence theorem for the common fixed point of enriched Ćirić-Reich-Rus contractive semigroups. Adequate illustrative examples are given in support of our theorems. Several corollaries are presented to show that our theorems can generalize different results of existing literatures.</p>

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Common fixed point analysis of nonlinear semigroups of enriched Ćirić-Reich-Rus contractive mappings

  • 期刊论文

  • 发表日期：

    2026年1月15日

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  • Kushal Roy

摘要

The purpose of this paper is to investigate the existence of common fixed point for nonlinear semigroups of enriched Ćirić-Reich-Rus contractive mappings on a closed convex subset of a real Banach space equipped with uniformly normal structure. Moreover, we prove a convergence theorem for the common fixed point of enriched Ćirić-Reich-Rus contractive semigroups. Adequate illustrative examples are given in support of our theorems. Several corollaries are presented to show that our theorems can generalize different results of existing literatures.