2013•International Journal of Mathematical AnalysisOpen access

Fixed point theorems and spproximating fixed points of generalized (C)-condition mappings

Naknimit Akkasriworn

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Abstract

In this paper, we present fixed point theorems of generalized (C)condition mappings defined on weakly compact convex subsets of Banach spaces satisfying property (D). Moreover, we prove weak and strong convergence theorems for Ishikawa iteration of generalized (C)condition mappings in uniformly convex Banach spaces.

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In this paper, we present fixed point theorems of generalized (C)condition mappings defined on weakly compact convex subsets of Banach spaces satisfying property (D). Moreover, we prove weak and strong convergence theorems for Ishikawa iteration of generalized (C)condition mappings in uniformly convex Banach spaces.

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Available abstract

In this paper, we present fixed point theorems of generalized (C)condition mappings defined on weakly compact convex subsets of Banach spaces satisfying property (D). Moreover, we prove weak and strong convergence theorems for Ishikawa iteration of generalized (C)condition mappings in uniformly convex Banach spaces.

Key concepts: Mathematics, Banach space, Fixed point, Fixed-point theorem, Regular polygon, Fixed-point property, Pure mathematics, Coincidence point

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