Two Fixed-Point Theorems For Special Mappings
A. Beiranvand, S. Moradi, M. Omid, H. Pazandeh
TL;DR
This paper investigates fixed point existence for special mappings in complete metric spaces under generalized contraction conditions similar to Banach's theorem.
Contribution
Introduces new fixed point theorems for mappings satisfying generalized contraction inequalities dependent on auxiliary functions.
Findings
Established fixed point existence under new contractive conditions
Extended classical Banach fixed point results to broader mapping classes
Provided conditions for fixed point uniqueness
Abstract
In this paper, we study the existence of fixed points for mappings defined on complete (compact) metric space (X, d) satisfying a general contractive (contraction) inequality depended on another function. These conditions are analogous to Banach conditions.
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Taxonomy
TopicsFixed Point Theorems Analysis